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A manufacturer is studying differences between two of its major outlet stores. The company is particularly interested in the time it takes customers to receive

A manufacturer is studying differences between two of its major outlet stores. The company is particularly interested in the time it takes customers to receive carpeting that was ordered from the plant. Data concerning a sample of delivery times (in days) for the most popular type of carpet are summarized as follows:

Store A Store B
42 22
54 34
69 28
25 38
58 34

Assume the delivery times for the two stores are normally distributed.

At the 0.06 level of significance, is there evidence of a difference in the means of the delivery time between the two stores?

Note:Subscript 1 refers to Store A, subscript 2 refers to Store B

Answer the following two questions:

(a) What is p-value?

(b) What type of error might he commit for making this decision?

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