I need solve this questions MCQ of Statistics

Q1 The monthly earnings of a group of business students are normally distributed with a standard deviation of 478 dollars. A researcher Determine the P-value for a two-sided test with t wants to estimate the mean monthly earnings = 2.85 and n=9 of all business students. Find the sample size Q2 needed to have a confidence level of 91% and a margin of error of 125 dollars. O a. 0.015 O a. 56 O b. 0.01 O b. 43 O c. 0.035 O C. 46 O d. 64 O d. 0.0175 Q3 Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their Q4 competitors, Amazon.com, would like to test the One of the biggest issues facing e-retailers is the hypothesis that the average age of a Zappos ability to turn browsers into buyers. This is employee is less than 36 years old. A random measured by the conversion rate, the percentage sample of 22 Zappos employees was found to of browsers who buy something in their visit to have an average age of 33.9 years. The standard a site. The conversion rate for a company's deviation for this sample was 4.1 years. Amazon website was 9.1%. The website at the company would like to set a = 0.025. Which one of the was redesigned in an attempt to increase its following statements is true? conversion rates. A samples of 200 browsers at the redesigned site was selected. Suppose that O a. Because the p-value is greater than a, 29 browsers made a purchase. The company we reject the null hypothesis and cannot officials would like to know if the conversion conclude that the average age of Zappos rate remains the same after the redesigned employees is less than 36 years old. website. b. Because the p-value is less than a, we Which of the following is correct? fail to reject the null hypothesis and conclude that the average age of Zappos O a. HO: p = 0.091 versus H1: p # 0.091, employees is less than 36 years old. reject HO at 0.05 level of significance O c. Because the p-value is greater than a, O b. HO: p = 0.091 versus H1: p # 0.091, do we fail to reject the null hypothesis and not reject HO at 0.1 level of cannot conclude that the average age of significance Zappos employees is less than 36 years old. O c. HO: p s 0.091 versus H1: p > 0.091, do not reject HO at 0.05 level of O d. Because the p-value is less than a, we significance reject the null hypothesis and conclude that the average age of Zappos O d. HO: p s 0.091 versus H1: p > 0.091, employees is less than 36 years old. reject HO at 0.1 level of significance