1.Identify, which graphical displayand the statistical procedure that might be appropriate in each case. Investigate the percentage of smokers in your community ---------- Compare the GPA values between commuters and n0n-commuters--- Investigate the relationship between cholesterol level and age among females. --------.. Investigate the favorite type of fast food (hamburgers, tacos, and sandwiches) among high school students . Compare the percentage of people in favor of a tax cut among different age groups (youth, adult, and senior) 2. The table below gives the grade counts of an English exam. Count A 85 B 90 C 79 D 78 E 68 a. .How many students have taken the English exam? b. State the the hypothesis that the proportions of al 5 grades, A, B, ,C,D, and E are the same. c. If the Chi-squared Test statistic is 3.426 , can you conclude at 1% significance level that the grade proportions are the same. 3. M&M's, the popular candy-coated chocolate treats, come in a variety of flavors. One of the newest varieties is Pretzel, and another popular variety is Peanut Butter. Does the Mars Company (the maker of M&M's) use the same color distribution (frequency of colors) for all varieties, or does it depend on variety? Data collected on the two varieties are displayed in the provided two-way table. Test, at the 5% level, if the samples provide evidence of an association between color and variety. Blue Brown Green Orange Red Yellow Total Pretzel 33 28 11 24 15 24 135 Peanut Butter 28 40 38 25 34 23 188 Total 61 68 49 49 49 47 323 a. Write the relevant null and alternative hypotheses. b. If the calculated Chi-Square test statistic is 16.563, use the p-value method and the critical value method with significance level =.05 to determine if there is a significant association between M&M variety and color. 4. Use the output on the right to answer the questions below. a. What is your conclusion based on the displayed p-value? b. Use a statistical procedure to determine if the average Fat amount consumed by smokers is different from 90. Two-Sample T-Test and CI: Fat intake, Smoke Method : mean of Fat when Smoke = No : mean of Fat when Smoke = Yes Difference: - Equal variances are not assumed for this analysis. Descriptive Statistics: Fat SmokeNMeanStDevSE Mean No27275.933.72.0 Yes4384.334.15.2 Estimation for Difference Difference95% CI for Difference -8.43(-19.62, 2.76) Test Null hypothesisH: - = 0 Alternative hypothesisH: - 0 T-ValueDFP-Value -1.51 550.137 5.Use the following to answer questions The computer output from a regression analysis which examines the relation between monthly savings and expenses is provided below. Predictor Coef SE Coef T P Constant 72.909 2.037 35.79 0.000 expense -0.5195 0.1946 -2.67 0.008 a. What is the regression equation which predicts the savings in terms of expenses b. Interpret the slope in the context of the problem. c. What is the p-value for testing if the slope in the population is different from zero? A) 0.000 B) 0.004 C) p < 0.001 D) 0.008. d. What is the p-value for testing if the slope in the population is negative (i.e, less than zero)? A) 0.000 B) 0.004 C) p < 0.001 D) 0.008