Liberty BUSI 230 Week 6 Exercises 8.1-8.3 Answers Complete Solutions
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Question 1
If we fail to reject (i.e., “accept”) the null hypothesis, does this mean that we have proved it to be true beyond all doubt? Explain your answer.
Question 2
If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.
Question 3
Suppose you want to test the claim that a population mean equals 42.
(a) State the null hypothesis.
(b) State the alternate hypothesis if you have no information regarding how the population mean might differ from 42.
(c) State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may exceed 42.
(d) State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may be less than 42.
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Question 4
The body weight of a healthy 3-month-old colt should be about μ = 62 kg.
(a) If you want to set up a statistical test to challenge the claim that μ = 62 kg, what would you use for the null hypothesis H0?
(b) In Nevada, there are many herds of wild horses. Suppose you want to test the claim that the average weight of a wild Nevada colt (3 months old) is less than 62 kg. What would you use for the alternate hypothesis H1?
(c) Suppose you want to test the claim that the average weight of such a wild colt is greater than 62 kg. What would you use for the alternate hypothesis?
(d) Suppose you want to test the claim that the average weight of such a wild colt is different from 62 kg. What would you use for the alternate hypothesis?
(e) For each of the tests in parts (b), (c), and (d), respectively, would the area corresponding to the P-value be on the left, on the right, or on both sides of the mean?
Question 5
How much customers buy is a direct result of how much time they spend in the store. A study of average shopping times in a large national houseware store gave the following information (Source: Why We Buy: The Science of Shopping by P. Underhill).
Women with female companion: 8.3 min.
Women with male companion: 4.5 min.
Suppose you want to set up a statistical test to challenge the claim that a woman with a female friend spends an average of 8.3 minutes shopping in such a store.
(a) What would you use for the null and alternate hypotheses if you believe the average shopping time is less than 8.3 minutes?
Is this a right-tailed, left-tailed, or two-tailed test?
(b) What would you use for the null and alternate hypotheses if you believe the average shopping time is different from 8.3 minutes?
Is this a right-tailed, left-tailed, or two-tailed test?
Stores that sell mainly to women should figure out a way to engage the interest of men! Perhaps comfortable seats and a big TV with sports programs. Suppose such an entertainment center was installed and you now wish to challenge the claim that a woman with a male friend spends only 4.5 minutes shopping in a houseware store.
(c) What would you use for the null and alternate hypotheses if you believe the average shopping time is more than 4.5 minutes?
(d) What would you use for the null and alternate hypotheses if you believe the average shopping time is different from 4.5 minutes?
