Question

Eliminate one magazine type that you now feel has a mean length different from the others. Redo the hypothesis test, testing that the remaining three means are statistically the same. Use a new solution sheet. Based on this test, are the mean lengths for the remaining three magazines statistically the same?

a) True
b) False

Answer 1

The student's question revolves around a hypothesis test involving the mean lengths of magazine types. After excluding one type with a different mean, a new test is used to determine if the remaining three have statistically the same means, based on comparison with a significance level of 0.05.

Step-by-step explanation:

The question pertains to conducting a hypothesis test for the equality of mean lengths across different magazine types. After rejecting the initial null hypothesis that all four magazine means are the same due to a p-value less than the significance level (alpha), one magazine type with a different mean length is eliminated. The test is then redone with the remaining three magazines to determine if their mean lengths are statistically the same. Based on the premise that a previous test led to a rejection of the null hypothesis due to a p-value less than the significance level of 0.05, if the hypothesis test is repeated with the three remaining magazine types and the new p-value is still less than alpha, then we would conclude that the remaining mean lengths are not statistically the same.