Essay
A shoe company designed a low-top and high-top version of a particular shoe. One of the shoe-making engineers claims that the low-top version does not last as long as the high-top version before wearing out. To test this claim, she takes a sample of 36 low-top and 64 high-top wearers and asks each the length of time before their shoes wore out. She finds that the low-tops wore out in an average of 140 days, and the high-tops wore out in an average of 150 days. Suppose the population standard deviation for both is 20 days.
A) Specify the competing hypotheses to determine whether high-tops last longer than low-tops for this particular shoe.
B) Calculate the value of the relevant test statistic.
C) Compute the p-value. Does the evidence support the commentator's claim at the 1% significance level?
Correct Answer:
Verified
a. H0: µ1 − µ2 ≥ 0, HA: µ1 − µ2 < 0
...View Answer
Unlock this answer now
Get Access to more Verified Answers free of charge
Correct Answer:
Verified
...
View Answer
Unlock this answer now
Get Access to more Verified Answers free of charge
Q64: <sub>2</sub>) multiplied by either z<sub>α</sub><sub>/2</sub> or t<sub>α</sub><sub>/2,</sub><sub>df</sub>
Q65: Suppose you want to perform a test
Q66: We convert the estimate <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB6618/.jpg" alt="We
Q67: A university wants to compare out-of-state applicants'
Q68: A university wants to compare out-of-state applicants'
Q70: You would like to determine if there
Q71: According to a recent survey, women chat
Q72: The t statistic is used to estimate
Q73: A new sales training program has been
Q74: Assume the competing hypotheses take the following