You decided to conduct Bonferroni post hoc analyses in MS Excel. Inspect the MS Excel output and answer these questions. a) Were these poc hoc analyses conducted assuming equal variances? b) What is the directionality for each comparison? c) What is the new alpha level that you need to use to determine significance?
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- If a researcher did not wish to assume homogeneity of variance for this analysis, which values would they report for the t-statistic, degrees of freedom, and p-value? Would the conclusions change?A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.01 level of significance. Analysis of Variance Source SS df MS F p Factor 31.00 3 10.33 5.44 0.008 Error 32.34 17 1.90 Total 63.34 20 a. What are the null and alternate hypotheses? H0: H1: b. What is the test statistic? (Round your answer to 2 decimal places.) c. What is the p-value? (Round your answer to 3 decimal places.) d. What is your decision regarding the null hypothesis? e. Interpret the result.A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.05 level of significance. Analysis of Variance Source df SS MS F p Factor 3 36.14 12.05 8.37 0.002 Error 13 18.74 1.44 Total 16 54.88 b. What is the test statistic? (Round your answer to 2 decimal places.) c. What is the p-value? (Round your answer to 3 decimal places.) d. What is your decision regarding the null hypothesis?
- A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.01 level of significance. Analysis of Variance Source df SS MS F p Factor 3 25.89 8.63 4.27 0.031 Error 11 22.21 2.02 Total 14 48.10 a. What are the null and alternate hypotheses? b. What is the test statistic? (Round your answer to 2 decimal places.) c. What is the p-value? (Round your answer to 3 decimal places.) d. What is your decision regarding the null hypothesis? e. Interpret the result.It turns out that the survey study at the U of M sampled students from a single student residence hall. Explain why sampling students from a single residence hall would have an impact on the external validity of the study.On a particular proposal of national importance, males and females cast votes as included in the following table In Favor Opposed Undecided Male 90 65 43 Female 115 74 32 Suggest an appropriate test for the data and analyze it at 1% level of significance.
- Explain the circumstances under which we would need to pool the variance for an independent samples t-testThe test score data from the sample of trainees are as follows: 1. Was the knowledge (test score) of participants from class A and class B before training less than 65? Use the significance level = 0.05, and assume that the variances of the two classes are the same.A factory wanted to study the efficiency of three machines. whether there is a difference or not in terms of manufacture of bearings if there is a difference will have to adjust the new machine from collecting the diameter of the cartridge Bearing results are as follows: Perform a variance analysis to study whether the diameter of the bearings manufactured by three machines Is there a difference? (Use a significance level of 0.05) and perform Tukey's multiple comparisons if necessary.
- NutritionResearchers compared protein intake among threegroups of postmenopausal women: (1) women eating astandard American diet (STD), (2) women eating a lactoovo-vegetarian diet (LAC), and (3) women eating a strictvegetarian diet (VEG). The mean ± 1 sd for protein intake(mg) is presented in Table 12.29.*12.1 Perform a statistical procedure to comparethe means of the three groups using the critical-valuemethod.The ecology club at a local high school took separate random samples of sophomores, juniors, and seniors to learn whether there are differences in attitudes toward recycling by grade level. Students were asked to respond yes or no to the question, “Do you regularly recycle plastic bottles?” The results were summarized in a 3-by-2 table of counts organized by grade level and yes/no response to the recycling question. The club performed a chi-square test for homogeneity across the three grade levels. Which of the following could be an appropriate null hypothesis used by the club? H0:H0: p1=p2=p3p1=p2=p3, where p1p1 is the proportion of the sample of sophomores that responded yes, p2p2 is the proportion of the sample of juniors that responded yes, and p3p3 is the proportion of the sample of seniors that responded yes. H0:H0: There is an association between grade level and whether or not a student regularly recycles plastic bottles. H0:H0: There is no difference in the distribution of…The two-way analysis of variance _________. Group of answer choices assesses the effects of two independent variables in one experiment allows an assessment of the interaction between two independent variables results in calculation of three F ratio's all of these