Assume you have three groups to compare through hypothesis tests and confidence intervals, and you want the overall level of significance to be 0.01 for the hypothesis tests (which is the same as a 99% confidence level for the confidence intervals). a. How many possible comparisons are there? b. What is the Bonferroni-corrected value of the significance level for each hypothesis test? c. What is the Bonferroni-corrected confidence level for each interval? Show your calculations. a. There are possible comparisons.Three independent random samples of community college students were obtained to find out how many hours the students spent each week doing math homework outside of the classroom. The samples were made up of students enrolled in pre-algebra (PreAlg), elementary algebra (ElemAlg), and intermediate algebra (InterAlg). Use three two-sample t-tests, applying the appropriate Bonferroni Correction to achieve an overall significance level of 0.05, to compare all possible pairs of means. Assume the conditions for two-sample t-tests are met. Click the icon to view the table of homework hours. Table of homework hours Fill out the table, reporting all the sample means and standard deviations. Mean SD PreAlg ElemAlg InterAlg PreAlg ElemAlg InterAlg (Round to two decimal places as needed.) WWANDOUNNNARandom samples of gasoline prices were obtained in three cities and are shown in the popup. Complete parts (a) through (c) below. Click the icon to view a table of the gasoline prices. a. Assuming the overall level of significance is 0.05, what is the Bonferroni-corrected level of significance for three groups? or = (Round to four decimal places as needed.) Table of gasoline prices - X City A City B City C 3.03 3.04 3.04 3.03 3.05 3.04 3.05 2.99 3.10 3.03 2.96 3.14 3.02 3.12 3.11 Print DoneRefer to the StatCrunch output from a health and nutrition survey, which shows the effect of marital status on cholesterol. Assume the population distributions are close enough to Normal to justify using ANOVA Use this information to complete parts a. through d. below. E Click the icon to view the StatCrunch ANOVA table. StatCrunch ANOVA table Analysis of Variance results: Responses stored in Cholest. Factors stored in Marital. a. Write the null and allemative hypotheses for the effect of marital status on cholesterol. Y The population means are all Y or marital status and cholesterol levels are not associated. V V V another or marital status and cholesterol levels are associated. Factor means ' ' \"um Married Never married Separated Widowed Treatments 5 Error DIME] 94.3 3195.345 945 mam-s Arandom survey was done at a small college, and the students were asked how many hours a week they spent studying outside of class time. The}.r were also asked what class theyr were in (1 = Freshman, 2 = Sophomore, 3 = Junior, and 4 =Senior). Complete parts [a] through (d) below. 0 Click here to View the partial ANOVA results from the survey. a. Which class had the highest sample mean, and which class had the lowest sample mean? The Freshman class had the highest sample mean and the Senior had the lowest sample mean. b. Write out the null and alternative hypotheses for the effect of class on schoolwork. Ho: or there between class and the number of hours spent studying. H : Y orthere a Y Y between class and the number of hours spent studying. Arandom survey was done at a small college, and the students were asked how many hours a week they spent studying outside of class time. They were also asked what class they were in (1 = Freshman, 2 = Sophomore, 3 = Junior, and 4=Senior). Complete parts [a] through (d) below. 0 Click here to View the partial ANOVA results from the survey. a. Figure out the missing SS (sum of squares]. (Type an integer or a decimal. Do not round.) Arandom survey was done at a small college, and the students were asked how many hours a week they spent studying outside of class time. They were also asked what class they were in (1 = Freshman, 2 = Sophomore, 3 = Junior, and 4 = Senior). Complete pans [a] through (d) below. 0 Click here to View the partial ANOVA results from the survey. a. Figure out the missing SS (sum of squares]. (Type an integer or a decimal. Do not round.) Refer to the figure. Assume that all distributions are symmetric (therefore the sample mean and A median are approximately equal) and that all the samples are the same size. Imagine carrying out two ANOVAs. The first compares the means based on samples A, B, and C (above the B horizontal line), and the second is based on samples L, M, and N (below the horizontal line). One of the calculated values of the F statistic is 9.38, and the other is 150.00. Which value is C which? Explain. L 0 100 200 300 400 500 600 700 Data The F-value of 9.38 goes with The F-value of 150.00 goes with The reason for the difference is that the variation groups (the separation between means) is larger for relative to the variation groups (which is the same in all groups).Random samples of gasoline prices were obtained in three cities and are shown in the popup. Find Bonferroni-corrected intervals for all three comparisons assuming an overall confidence level of 95%, that is, an individual confidence level of 98.33%. Then state whether the means are significantly different based on whether the intervals capture 0 or not. Click the icon to view a table of the gasoline prices. Write the confidence interval for the difference of means, City A - City B. (Round to two decimal places as needed.) Table of gasoline prices - X City A City B City C 2.97 3.05 3.02 3.02 2.98 3.05 2.98 3.05 3.04 3.04 2.99 2.97 3.02 2.96 2.99 Print Done Help me solve this View an example