Question

A company wants to know if a sales campaign had any difference in net sales. They...

  1. A company wants to know if a sales campaign had any difference in net sales. They sent out emails to randomly selected consumers and offered a coupon to shop at the store. They then compared a sample of purchases from this group to another randomly sample of purchases from customers who did not receive an offer. The statistics for both samples are as follows:

Sample 1: Received Offer

Sample 2: Did not Receive Offer

Mean Sales (y1-bar):   135.12

Mean Sales (y2-bar):   115.26

Std Dev. (s1):                 42.78

Std Dev. (s2):                43.26

Sample size (n1):          75

Sample size (n2):          80

Assuming a 2-sided t-test with an alpha of 0.05, would you reject or fail to reject the hypothesis that there was no difference between the samples?

To earn full points show the null hypothesis, alternative hypothesis, t-statistic, p-value or t critical value, and evaluate test based on t critical value or alpha

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