## MATH 225N Week 8 Final Exam (Collection)

#### MATH 225N Week 8 Final Exam (Version 1)

**Question:**A fitness center claims that the mean amount of time that a person spends at the gym per visit is 33 Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter μ.**Question:**The answer choices below represent different hypothesis tests. Which of the choices are**right-tailed**tests? Select all correct answers.**Question:**Find the Type II error given that the null hypothesis, H0, is: a building inspector claims that no more than 15%of structures in the county were built without permits.**Question:**Suppose a chef claims that her meatball weight is less than 4ounces, on average. Several of her customers do not believe her, so the chef decides to do a hypothesis test, at a 10% significance level, to persuade them. She cooks 14 The mean weight of the sample meatballs is 3.7 ounces. The chef knows from experience that the standard deviation for her meatball weight is 0.5 ounces…….What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?**Question:**What is the p-value of a**right-tailed**one-mean hypothesis test, with a test statistic of z0=1.74? (Do not round your answer; compute your answer using a value from the table below.)… 51.61.71.81.90.000.9330.9450.9550.9640.9710.010.9340.9460.9560.9650.9720.020.9360.9470.9570.9660.9730.030.9370.9480.9580.9660.9730.040.9380.9490.9590.9670.9740.050.9390.9510.9600.9680.9740.060.9410.9520.9610.9690.9750.070.9420.9530.9620.9690.9760.080.9430.9540.9620.9700.9760.090.9440.9540.9630.9710.977**Question:**Kenneth, a competitor in cup stacking, claims that his average stacking time is 2seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials. At the 4% significance level, does the data provide sufficient evidence to conclude that Kenneth’s mean stacking time is less than 8.2 seconds? Accept or reject the hypothesis given the sample data below.**Question:**A recent study suggested that 81%of senior citizens take at least one prescription medication. Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital. She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication. What are the null and alternative hypotheses for this hypothesis test?**Question:**A researcher claims that the proportion of cars with manual transmission is less than 10%. To test this claim, a survey checked 1000randomly selected cars. Of those cars, 95 had a manual transmission………The following is the setup for the hypothesis test: {H0:p=0.10Ha:p<0.10 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.**Question:**A medical researcher claims that the proportion of people taking a certain medication that develop serious side effects is 12%. To test this claim, a random sample of 900 people taking the medication is taken and it is determined that 93 people have experienced serious side effects…… The following is the setup for this hypothesis test:*H*0:*p*= 0.12*Ha*:*p*≠12 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can … utilized which provides areas under the Standard Normal Curve:**Question:**An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than 65%.**Question:**Becky’s statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin 30times and got heads 18 times…… Becky conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of heads is different from 50%……….. Which answer choice shows the correct null and alternative hypotheses for this test?**Question:**John owns a computer repair service. For each computer, he charges $50plus $45 per hour of work. A linear equation that expresses the total amount of money John earns per computer is y=50+45x. What are the independent and dependent variables? What is the y-intercept and the slope?**Question:**Ariana keeps track of the amount of time she studies and the score she gets on her quizzes. The data are shown in the table below. Which of the scatter plots below accurately records the data?**Question:**Data is collected on the relationship between time spent playing video games and time spent with family. The data is shown in the table and the line of best fit for the data is y^=−0.27x+57.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables……. Video Games (Minutes) 306090120 Time with Family (Minutes) 50403525…… According to the line of best fit, the predicted number of minutes spent with family for someone who spent 95 minutes playing video games is 85. Is it reasonable to use this line of best fit to make the above prediction?**Question:**Which of the following are feasible equations of a least squares regression line for the annual population change of a small country from the year 2000to the year 2015? Select all that apply.**Question:**An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the color index, or B−Vindex, and distance (in light years) from Earth for 30 The color index of a star is the difference in the light absorption measured from the star using two different light filters (a B and a V filter). This then allows the scientist to know the star’s temperature and a negative value means a hot blue star. A light year is the distance light can travel in 1 year, which is approximately 5.9 trillion miles. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.**Question:**The weight of a car can influence the mileage that the car can obtain. A random sample of 20cars’ weights and mileage is collected. The table for the weight and mileage of the cars is given below. Use Excel to find the best fit linear regression equation, where weight is the explanatory variable. Round the slope and intercept to three decimal places.**Question:**A farmer divided his piece of land into 4equivalent groups. The quality of the soil is the same across the 4 groups of land. He planted the same crop in all 4 groups of land and recorded the yield of the crop in all 4 groups for a 4 week period. Is the study observational or experimental? If it is an experiment, what is the controlled factor?**Question:**To test the effectiveness of a drug proposed to relieve symptoms of headache, physicians included participants for a study. They gave the drug to one group and a drug with no therapeutic effect to another group. Which group receives the placebo?**Question:**A doctor notes her patient’s temperature in degrees Fahrenheit every hour to make sure the patient does not get a fever. What is the level of measurement of the data?**Question:**As a member of a marketing team, you have been tasked with determining the number of DVDs that people have rented over the past six months. You sample twenty adults and decide that the best display of data is a frequency table for grouped data. Construct this table using four classes……. 15,31,28,19,14,18,28,19,10,19,10,24,14,18,24,27,10,18,16,23**Question:**The histogram below displays the weights of rainbow trout (in pounds) caught by all visitors at a lake on a Saturday afternoon. According to this histogram, which range of weights (in pounds) contains the lowest frequency?**Question:**Describe the shape of the given histogram.**Question:**The bar graph below shows the number of boys and girls in different classes……A bar graph has a horizontal axis labeled Classes and a vertical axis labeled Students from 0 to 16 in increments of 2. There are two vertical bars above each horizontal axis label, with the bar on the left representing Boys and the bar on the right representing Girls. The bars have heights as follows, with the horizontal axis label listed first and the bar heights listed second from left to right: Mrs. Brown, 10 and 15; Ms. James, 11 and 12………. How many total students are in Ms. James’s class? Do not include the units in your answer.**Question:**The line graph shown below represents the number of TVs in a house by square footage (in hundreds of feet). According to the information above, which of the following is an appropriate analysis of square footage and TVs?**Question:**Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below…… 16,14,14,21,15…… Find the mean boxes sold.**Question:**Given the following list of prices (in thousands of dollars) of randomly selected trucks at a car dealership, find the median…… 20,46,19,14,42,26,33**Question:**Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. Find the mode of the following number of cards drawn from a deck until a queen appears…… 3,12,3,11,5,5,3,10,12**Question:**Given the following histogram, decide if the data is skewed or symmetrical.**Question:**Which of the data sets represented by the following box and whisker plots has the smallest standard deviation?**Question:**The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the smallest standard deviation.**Question:**Brayden tosses a coin 500 Of those 500times, he observes heads a total of 416 times. Calculations show that the probability of this occurring by chance is less than 0.01, assuming the coin is fair. Determine the meaning of the significance level.**Question:**Is the statement below true or false? Independent is the property of two events in which the knowledge that one of the events occurred does not affect the chance the other occurs.**Question:**Of the following pairs of events, which pair has mutually exclusive events?**Question:**Fill in the following contingency table and find the number of students who both go to the beach AND go to the mountains.**Question:**A statistics professor recently graded final exams for students in her introductory statistics course. In a review of her grading, she found the mean score out of 100points was a x¯=77, with a margin of error of**Question:**A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.**Question:**The population standard deviation for the heights of dogs, in inches, in a city is 7inches. If we want to … 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can … taken? ….. z0.101.282z0.051.645z0.0251.960z0.012.326z0.0052.576…… Use the table above for the z-score, and … sure to round up to the nearest integer.**Question:**Which of the following frequency tables show a skewed data set? Select all answers that apply.**Question:**A poll was conducted during the final game of the basketball season to determine whether fans wanted to see the defending champions win the game or the challenging team win the game. From the poll, 216of the 374 residents sampled from urban areas want the defending champions to win the game. In more rural areas, 304 of the 466 residents polled want the defending champions to win the game. Assuming location has nothing to do with team preference, the probability that the data gathered was the result of chance is calculated to … 03. What is the correct interpretation of this calculation?**Question:**In a psychological study aimed at testing a drug that reduces anxiety, the researcher grouped the participants into 2groups and gave the anxiety-reduction pill to one group and an inert pill to another group. Which group receives the placebo?**Question:**Which of the following results in the null hypothesis μ≥38and alternative hypothesis μ<38?**Question:**True or False: The more shoes a manufacturer makes, the more shoes they sell.**Question:**Fill in the following contingency table and find the number of students who both do not play sports AND do not play an instrument.**Question:**Fill in the following contingency table and find the number of students who both do not play sports AND do not play an instrument.**Question:**The answer choices below represent different hypothesis tests. Which of the choices are**left-tailed**tests? Select all correct answers.**Question:**Assume the null hypothesis, H0, is: Jacob earns enough money to afford a luxury apartment. Find the Type I error in this scenario.**Question:**Given the plot of normal distributions Aand B below, which of the following statements is true? Select all correct answers.**Question:**Hugo averages 72words per minute on a typing test with a standard deviation of 12 words per minute. Suppose Hugo’s words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(72,12)….. Suppose Hugo types 54 words per minute in a typing test on Wednesday. The z-score when x=54 is ________. This z-score tells you that x=54 is ________ standard deviations to the ________ (right/left) of the mean, ________…….. Correctly fill in the blanks in the statement above.**Question:**The following frequency table summarizes a set of data. What is the five-number summary?

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## STATUS

#### MATH 225N Week 8 Final Exam (Version 2)

*Performing Linear Regressions with Technology *

**Question:**An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the absolute magnitude or MV and stellar mass or M⊙ for 30 stars. The absolute magnitude of a star is the intensity of light that would … observed from the star at a distance of 10 parsecs from the star. This is measured in terms of a particular band of the light spectrum, indicated by the subscript letter, which in this case is V for the visual light spectrum. The scale is logarithmic and an MV that is 1 less than another comes from a star that is 10 times more luminous than the other. The stellar mass of a star is how many times the sun’s mass it has. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.**Question:**The table shows data collected on the relationship between the time spent studying per day and the time spent reading per day. The line of best fit for the data is yˆ=0.16x+36.2. Assume the line of best fit is significant and there is a strong linear relationship between the variabl……Studying (Minutes) 507090110 Reading (Minutes) 44485054…… (a) According to the line of best fit, what would … the predicted number of minutes spent reading for someone who spent 67 minutes studying? Round your answer to two decimal places.**Question:**The table shows data collected on the relationship between the time spent studying per day and the time spent reading per day. The line of best fit for the data is yˆ=0.16x+36.2…… Studying (Minutes) 507090110 Reading (Minutes) 44485054…… (a) According to the line of best fit, the predicted number of minutes spent reading for someone who spent 67minutes studying is 46.92…… (b) Is it reasonable to use this line of best fit to make the above prediction?**Question:**Data is collected on the relationship between the average daily temperature and time spent watching television. The data is shown in the table and the line of best fit for the data is y^=−0.81x+96.7. Assume the line of best fit is significant and there is a strong linear relationship between the variables……. Temperature (Degrees) 30405060 Minutes Watching Television 73635748……. (a) According to the line of best fit, what would be the predicted number of minutes spent watching television for an average daily temperature of 45 degrees? Round your answer to two decimal places.**Question:**Data is collected on the relationship between the average daily temperature and time spent watching television. The data is shown in the table and the line of best fit for the data is y^=−0.81x+96.7…… Temperature (Degrees) 30405060 Minutes Watching Television 73635748……. (a) According to the line of best fit, the predicted number of minutes spent watching television for an average daily temperature of 45 degrees is 25……. (b) Is it reasonable to use this line of best fit to make the above prediction?**Question:**Homer is studying the relationship between the average daily temperature and time spent watching television and has collected the data shown in the table. The line of best fit for the data is yˆ=−0.6x+94.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables……. Temperature (Degrees) 40506070 Minutes Watching Television 70655952….. According to the line of best fit, what would … the predicted number of minutes spent watching television for an average daily temperature of 39 degrees? Round your answer to two decimal places, as needed.**Question:**Homer is studying the relationship between the average daily temperature and time spent watching television and has collected the data shown in the table. The line of best fit for the data is yˆ=−0.6x+94.5……. Temperature (Degrees) 40506070 Minutes Watching Television 70655952……. (a) According to the line of best fit, the predicted number of minutes spent watching television for an average daily temperature of 39 degrees is 1. ……. (b) Is it reasonable to use this line of best fit to make the above prediction?**Question:**Daniel owns a business consulting service. For each consultation, he charges $95plus $70 per hour of work. A linear equation that expresses the total amount of money Daniel earns per consultation is y=70x+95. What are the independent and dependent variables? What is the y-intercept and the slope?**Question:**Given the following line, find the value of y when x=2. ……. y=−4x−12**Question:**Evaluate the linear equation, y=4x−7, at the value x=2.**Question:**Evan owns a house cleaning service. For each house visit, he charges $55plus $30 per hour of work. A linear equation that expresses the total amount of money Evan earns per visit is y=55+30x…….. What are the independent and dependent variables? What is the y-intercept and the slope?**Question:**Using a calculator or statistical software, find the linear regression line for the data in the table below.……. Enter your answer in the form y=mx+b, with mand bboth rounded to two decimal places.**Question:**Using a calculator or statistical software, find the linear regression line for the data in the table below.……. Enter your answer in the form y=mx+b, with mand bboth rounded to two decimal places.**Question:**A least squares regression line (best-fit line) has the equation, yˆ=2.87x−43.5. What is the**slope**of this linear regression equation?**Question:**Researchers want to find the relationship between age and average weight in female children. Using a calculator or statistical software, find the linear regression line for the 2012 CDC data below for average weights of female children by age.**Question:**Given that n=31data points are collected when studying the relationship between average daily temperature and time spent sleeping, use the critical values table below to determine if a calculated value of r=−0.324is significant or not.**Question:**In studying the relationship between age and eating fast food, suppose you computed r=0.133using n=19data points. Using the critical values table below, determine if the value of r is significant or not.**Question:**Data is collected on the relationship between the time spent doing homework per day and the time spent taking notes per day. The data is shown in the table and the line of best fit for the data is yˆ=0.175x+31.0. Assume the line of best fit is significant and there is a strong linear relationship between the variables…….. (a) According to the line of best fit, what would … the predicted number of minutes spent taking notes for someone who spent 137minutes doing homework? Round your answer to two decimal places, as needed.**Question:**Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has collected the data shown in the table. The line of best fit for the data is yˆ=−0.79x+98.8. Assume the line of best fit is significant and there is a strong linear relationship between the variables….. Hours Worked (per week) 30405060 Minutes Reading (per day) 75685852……. (a) According to the line of best fit, what would be the predicted number of minutes spent reading for a person who works 27hours (per week)? Round your answer to two decimal places, as needed.**Question:**Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has collected the data shown in the table. The line of best fit for the data is yˆ=−0.79x+98.8……. Hours Worked (per week) 30405060 Minutes Reading (per day) 75685852……. (a) According to the line of best fit, the predicted number of minutes spent reading for a person who works 27hours (per week) is 77.47…….. (b) Is it reasonable to use this line of best fit to make the above prediction?**Question:**The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is yˆ=−0.24x+71.7. Assume the line of best fit is significant and there is a strong linear relationship between the variables…… Video Games (Minutes) 45607590 Time with Family (Minutes) 61575450……. (a) According to the line of best fit, what would … the predicted number of minutes spent with family for someone who spent 87minutes playing video games? Round your answer to two decimal places.**Question:**The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is yˆ=−0.24x+71.7……. Video Games (Minutes) 45607590 Time with Family (Minutes) 61575450…… (a) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 87 minutes playing video games is 50.82…….. (b) Is it reasonable to use this line of best fit to make the above prediction?**Question:**A scientific study on calorie intake gives the following data table…….. Using technology, it was … that the total sum of squares (SST)was 76, the sum of squares regression (SSR)was 54.850, and the sum of squares due to error (SSE)was 21.150. Calculate R2 and determine its meaning. Round your answer to four decimal places?**Question:**A non-profit finds that donations decrease when the economy measured by GDP decreases…….. Identify the relation between donations and GDP.**Question:**Which of the following data sets or plots could have a regression line with a negative slope.**Question:**A gym teacher finds that the distance students run in miles per week in gym class, D, is dependent on the time students warm-up beforehand in minutes per week, x, and can … modeled by the function……. D(x)=2+0.5x…….. Draw the graph of the distance function by plotting its D-intercept and another point.**Question:**Which of the following data sets or plots could have a regression line with a negative y-intercept?