ScholarMatic: Explanation & Answer
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Business Statistics
6.78 Clothing for runners.Your company sells exercise clothing and equipment on the Internet. To design the clothing, you collect data on the physical characteristics of your different types of customers. Here are the weights for a sample of 24 male runners. Assume that these runners can be viewed as a random sample of your potential customers. The weights are expressed in kilograms.
67.8 61.9 63.0 53.1 62.3 59.7 55.4 58.9
60.9 69.2 63.7 68.3 64.7 65.6 56.0 57.8
66.0 62.9 53.6 65.0 55.8 60.4 69.3 61.7
Exercise 6.20 asks you to find a 95% confidence interval for the mean weight of the population of all such runners, assuming that the population standard deviation is o– = 4.5kg.
(a) Give the confidence interval from that exercise, or calculate the interval if you did not to the exercise.
(b) Based on this confidence interval, does a test of
Ho: Iu =61.3 kg
Ha: Iu =/ 61.3 kg
Reject Hoat the 5% significance level?
(c) Would Ho: Iu = 63 be rejected at the 5% level if tested against a two-sided alternative?
(Listed below is exercise question 6.20 this might be needed to answer 6.78 question)
6.20 Clothing for runners.Your company sells exercise clothing and equipment on the Internet. To design the clothing, you collect data on the physical characteristics of your different types of customers. Here are the weights (in kilograms) for a sample of 24 male runners. Assume that these runners can be viewed as a random sample of your potential male customers. Suppose also that the standard deviation of the population is known to be o– = 4.5 kg.
68.7 61.8 63.2 53.1 62.3 59.7 55.4 58.9
60.9 69.2 63.7 67.8 65.6 65.5 56.0 57.8
66.0 62.9 53.6 65.0 55.8 60.4 69.3 62.1
ScholarMatic: Explanation & Answer
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