MATH 533 Week 5 Quiz (Summer 2019)

1. Question 7.4.45-T: A professor at a local university conducted a survey of 135 business in a city to determine what motivates small business to export their products. The CEOs were asked to respond to the statement “Management believes that the business can achieve economics of scale be exporting” on a scale of 1 (strongly disagree) to 5 (strongly agree. Summary statistics for the n = 135 scale scores were reported as x̄ = 3.81 and s = 1.4. in this study, the professor hypothesized that if the true mean scale score exceeds 3.5, then CEOs at all businesses in the city generally agree with the statement. Complete parts a through c
2. Question 7.4.41: The final scores of games of a certain sport were compared against the final point spreads established by oddsmakers. The difference between the game outcome and point spread (called a point-spread error) was calculated for 235 games. The sample and sample standard deviation of the points-spread errors are x = 15 and s = 12.8. Use this information to test the hypothesis that the true mean-spread error for all games 0. Conduct the test at α =0.10 and interpret the result.
3. Question 7.4.45-T: A professor at a local university conducted a survey of 135 business in a city to determine what motivates small business to export their products. The CEOs were asked to respond to the statement “Management believes that the business can achieve economies of scale be exporting” on a scale of 1 (strongly disagree) to 5 (strongly agree. Summary statistics for the n = 135 scale scores were reported as x̄ = 3.81 and s = 1.4. In this study, the professor hypothesized that if the true mean scale score exceeds 3.5, then CEOs at all businesses in the city generally agree with the statement. Complete parts a through c
4. Question 7.6.71: A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of 2,653 firms, 598 announced one or more acquisitions during the year 2000. Does the sample provide sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 24%? Use α = 0.01 to make your decision.
5. Question 7.5.50-T: A sample of five measurements, randomly selected from a normally distributed population, resulted in the following summary statistics x̄ =5.1, s = 1.3. Complete parts a through
6. Question 7.6.75-T: In a representative sample of 788 coffee growers from Country X, 450 growers were certified to sell to organic coffee markets while 82 growers were transitioning to become organic certified. In Country Y, 71% of coffee growers are organic … Is there evidence to indicate that fewer than 71% of the coffee growers in Country X are either organic certified or transitioning to become organic certified? State your conclusion so that there is only a 10% chance of making a Type | error.
7. Question 7.3.24: In a test of H₀: µ = 10 versus H_a : µ ≠ 10, a sample of n = 50 observations possessed mean x̄ = 10.7 and standard deviation s = 2.9. Find and interpret the p-value for the test.
8. Question 7.6.71: A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of 2,541 firms, 682 announced one or more acquisitions during the year 2000. Does the sample provide sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 28%? Use α = 0.01 to make your decision.
9. Question 7.4.42-T: According to a recent survey of the 23,000 funeral homes of a certain nation, funeral homes collected an average of $6,600 per full-service funeral last year. A random sample of 36 funeral homes reported revenue data for the current year. Among other measures, each reported its average fee for a full-service funeral. These data (in thousands of dollars) are … in the accompanying table. Complete parts a through c below.
10. Question 7.3.24: In a test of H₀: µ = 10 versus H_a : µ ≠ 10, a sample of n = 50 observations possessed mean =[x̄ = 10.7 and standard deviation s = 3.2. Find and interpret the p-value for the test.
11. Question 7.6.75-T: In a representative sample of 704 coffee growers from Country X, 369 growers were certified to sell to organic coffee markets while 60 growers were transitioning to become organic certified. In Country Y, 63% of coffee growers are organic … Is there evidence to indicate that fewer than 63% of the coffee growers in Country X are either organic certified or transitioning to become organic certified? State your conclusion so that there is only a 5% chance of making a Type | error.
12. Question 7.4.41: The final scores of games of a certain sport were compared against the final point spreads established by oddsmakers. The difference between the game outcome and point spread (… a point-spread error) was calculated for 245 games. The sample mean and sample standard deviation of the points-spread errors are x̄ = 1.2 and s = 12.8. Use this information to test the hypothesis that the true mean point-spread error for all games is larger than 0. Conduct the test at α = 0.05 and interpret the result.
13. Question 7.5.50-T: A sample of five measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: x̄ =4.6, s = 1.4. Complete parts a through

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