A study of middle schooler’s backpacks found that students’ “backpacks weighed f

Question

A study of middle schooler’s backpacks found that students’ “backpacks weighed from half a pound to 37 pounds, with a mean average weight of 10.6 pounds.” Professor Mitchell claims that the average college student will have a heavier backpack than the average middle schooler. To test this belief, a random sample of 54 student backpacks were weighed and a t-test was performed. The test results are shown below:

Hypothesis test results: H0 : = 10.6 HA : > 10.6

Using a 5% significance level, do we (accept, reject, or fail to reject) the null hypothesis H0 : p1 - p2 = 0 ?

What does this calculation tell us with regards to Dr. Mitchell’s claim that college student backpacks weigh more than middle school student backpacks?

Explanation / Answer

since p-value is greater than 0.05, we fail to reject null that mu = 10.6 against mu > 10.6

Not sufficient evidence to accept Dr Mitchell's claim

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