business researchers gathered some estimate datang which of the two auto repair shops is more expensive (if any). A few for the same car problem from both of the auto for car repairs from 10 customers who had received estimates for repairs to answer the following questions.\ \\\\table[[Customer,Nate's Car Repair,Quick Repair Company],[Anne,3,500,3,650],[Jason,560,720],[Max,2,784,2,600],[Victor,5,621,5,800],[Angie,245,300],[Thomas,428,415],[George,945,1,400],[Sarah,885,1,200],[Roy,1,456,1,500],[Henry,4,232,4,400]]\ (4 points) What is the mean of repair cost for Nate's Car Repair shop?\ (4 points) What is the standard deviation for repair costs at Nate's Car Repair shop?\ (4 points) What is the mean repair cost for the Quick Repair Company?\ (4 points) What is the standard deviation for repair costs at Quick Repair Company?\ (4 points) What is the best statistical method to determine if there is a significant difference in mean repair costs between the companies?\ a. Independent samples t-test\ b. Paired samples t-test\ c. Z-test of means\ d. Z-test of proportions\ (10 points) Conduct a paired sample

t

-test between the two auto repair shops. Clearly state the hypotheses, the test statistic, the

p

-value, and your interpretation of the results. Which company (if any) is the most expensive (on average)?\

H_(0):

\

H_(l):,

Test statistic:\ p-value:\ Interpretation:\ (10 points) Conduct a two-tailed independent samples

t

-test (assuming unequal variances) between the two auto repair shops. Clearly state the hypotheses, the test statistic, the

p

-value, and your interpretation of the results. How are your results different from the paired

t

-test?\

H_(0):

\

H_(l):

\ Test statistic:\

p

-value:\ Difference from the paired

t

-test:

business researchers gathered some estimondering which of the two auto repair shops is more expensive (if any). A few for the same car problem from both of the autata for car repairs from 10 customers who had received estimates for repairs to answer the following questions. 1. (4 points) What is the mean of repair cost for Nate's Car Repair shop? 2. (4 points) What is the standard deviation for repair costs at Nate's Car Repair shop? 3. (4 points) What is the mean repair cost for the Quick Repair Company? 4. (4 points) What is the standard deviation for repair costs at Quick Repair Company? 5. (4 points) What is the best statistical method to determine if there is a significant difference in mean repair costs between the companies? a. Independent samples t-test b. Paired samples t-test c. Z-test of means d. Z-test of proportions 6. (10 points) Conduct a paired sample t-test between the two auto repair shops. Clearly state the hypotheses, the test statistic, the p-value, and your interpretation of the results. Which company (if any) is the most expensive (on average)? H0: H1: Test statistic: Interpretation: 7. (10 points) Conduct a two-tailed independent samples t-test (assuming unequal variances) between the two auto repair shops. Clearly state the hypotheses, the test statistic, the p-value, and your interpretation of the results. How are your results different from the paired t-test? H0: H1: Test statistic: p-value