Question

To carry out a study on the dispersion of the averages (on a scale of 0 to 100) of high school students entering HARVARD, a sample of size n = 101 was collected and the following statistics were obtained:

Xn = 78.7, S2 = 6.75 aren de la rueba de hipótesis

Calculate the p-value of the hypothesis test

Xn = 78.7, S2 = 6.75 aren de la rueba de hipótesis

and choose the proposition with the most appropriate conclusion on this hypothesis test.

A)H0 is not rejected from a significance level of 20.05. It is concluded that the variance of the high school averages of the students who enter HARVARD is less than or equal to 9.1.

B) H0 is rejected from a significance level of 20.05. It is concluded that the variance of the high school averages of the students who enter HARVARD is less than or equal to 9.1.

C)H0 is not rejected from a significance level of 20.025. It is concluded that the variance of the high school averages of the students who enter HARVARD is less than or equal to 9.1.

D) H0 is rejected from a significance level of 20.025. It is concluded that the variance of the averages of the high school students who enter HARVARD is less than 9.1.

Answer 1

1 Mese we ase conducting bypothesis testing om dispersion on rationem averelyet Caf leigh delude students entering Moi The dispession is greater Hi The dispession is less than or equal chi-square test for equality of variances. than 9.1 or 8²9-1 to 9.1 or 8²=91 then here we use n x² = (0-12 1² = (101-L) 6.75 -2 gel = 100x 6.75 9:1 = 74116 and we reject to. if x < x x = x 100, 1-7) x=0.05 (onetailed 77,929 and X² - As x² < x t we spect Null Kypothesis pralue = 0.023 (< 0.05) ho is rejected from a signif! 'cance level of 0.025. It is concluded that the variance of the high school averages of the students who enter HARVARD is less than Deepak to 9.1 D

Please rate my answer and comment for doubt