2. Use the data in BUSI1013 Bank Dataset.xlsx (Unit 1 Question 2) to answer this question. (4 points for each part; 8 points totala. Perform a statistical test to see whether the average loans of customers before the change at the Brock and Chase branch are different.
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b. Construct a 95% confidence interval for the difference of average loans of customers before the change at the Brock and Chase branch. 3. To compare prices of two grocery stores in Toronto, a random sample of items that are sold in both stores were selected and their price noted in the first weekend of July 2018: (12 Points) ItemStore AStore BDifference (Store A - Store B)1 1.65 1.98 -0.33 2 8.70 8.49 0.21 3 0.75 0.89 -0.14 4 1.05 0.99 0.06 5 11.30 11.99 -0.69 6 7.70 7.99 -0.29 7 6.55 6.99 -0.44 8 3.70 3.59 0.11 9 8.60 8.99 -0.39 10 3.90 4.29 -0.39 a. What are the null and alternative hypothesis if we want to confirm that on average, prices at Store 1 is different from the prices at Store 2, that is, the mean difference is different from 0?
b. What are the sample mean difference in prices and the sample standard deviation?

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c. Compute the test statistic t used to test the hypothesis.
d. Compute the degree of freedom for the test statistic t.
e. Can we conclude that on average, prices at Store 1 are different from the prices at Store 2? Use the critical-value approach and α= 0.05 to conduct the hypothesis test.
f. Use the above data to construct a 95% confidence interval for the difference in prices between the two stores.