Question

You own two small gift shops, one in City A and one in City B. You are interested in which city spends more on Valentine's day gifts. So you test the claim that the mean amount spent in City A is greater than the mean amount spent in City B

You wish to test the claim that the mean amount spent in City A is greater than the mean amount spent in City B at a significance level of α=0.05α=0.05.     

You obtain the following two samples of data from each city. Each data point is the amount of a Valentine's Day gift purchase.

City A	City B
57.4 50.7 60.1 30.4 42.7 53.5 39.1 51.4 59.0 61.4 47.2 61.4 50.0 54.8 39.5	58.2 28.4 26.4 68.7 21.0 22.7 65.4 18.1 71.4 76.8 31.4 29.0 56.2

1. What is the test statistic for this sample?
   
   test statistic =  Round to 4 decimal places.
   
2. What is the p-value for this sample?
   
   p-value =  Round to 4 decimal places.
   
3. The p-value is...
   • less than (or equal to) αα
   • greater than αα
   
   
4. This test statistic leads to a decision to...
   • reject the null
   • accept the null
   • fail to reject the null
   
   
5. As such, the final conclusion is that...
   • There is sufficient evidence to warrant rejection of the claim that the mean amount spent in City A is greater than the mean amount spent in City B.
   • There is not sufficient evidence to warrant rejection of the claim that the mean amount spent in City A is greater than the mean amount spent in City B.
   • The sample data support the claim that the mean amount spent in City A is greater than the mean amount spent in City B.
   • There is not sufficient sample evidence to support the claim that the mean amount spent in City A is greater than the mean amount spent in City B.

Answer 1