Each month, the owner of a restaurant records y = monthly sales receipts and x = amount spent that month on Advertising sales advertising, both in thousands of dollars, For the first four months of operation, the observations are as shown in the table. The correlation equals 0.928. Answer parts a-c. a. Find the mean and standard deviation for each variable. * =0 sx = (Round to three decimal places as needed.) s, = (Round to three decimal places as needed.) b. Using the data in the table and StatCrunch, find the values for a and b in the regression line, y = a + bx. a = (Round to two decimal places as needed.) b = (Round to three decimal places as needed.) c. Test the null hypothesis that these variables are independent, using a significance level of 0.05. Choose the correct assumptions that are made. O A. Assume randomization, linear trend with uniform conditional distribution for y and the same standard deviation at different values of x. O B. Assume randomization, linear trend with normal conditional distribution for y and different standard deviations at different values of x. O C. Assume randomization, linear trend with normal conditional distribution for y and the same standard deviation at different values of x. Choose the correct null hypothesis (H,) and allemative hypothesis (H.)- O Hy: The variables are independent ($ = 0). Ha: The variables are dependent (8 # 0). O Ho: The variables are dependent (p # 0). He: The variables are independent (B = 0). What is the test statistic t? 1=(Round to three decimal places as needed.) Only one of the following answers can be the correct P-value. Which one is it? O A. 0.008 O B. 0.035 O C. 0.072 O D. 0.021 Use the P-value and a significance level of 0.05 to form a conclusion. O Reject He and conclude that the variables are dependent or associated. Fail to reject Ho and conclude that the variables could be independent