academic standards Because of that you want to know if the variance in test scores among student athletes o is lower To find out you survey a random sample of 12 student athletes You find the sample variance is 164 1 Assume test scores for student athletes follow a normal distribution Is there sufficient evidence to conclude that the population variance is less than 401 8 To answer complete the parts below to perform a hypothesis test Use the 0 05 level of significance a State the null hypothesis and the alternative hypothesis that you would use for the test Ho H 0 0 0 0 020 Chi square Distribution Step 1 Enter the number of degrees of freedom Step 3 Enter the test statistic Round to 3 decimal places Step 2 Select one tailed or two tailed O One tailed O Two tailed Step 5 Enter the p value Round to 3 decimal places X b Perform a chi square test and find the p value Here is some information to help you with your chi square test S The value of the test statistic is given by 1 n 1 s 0 Step 4 Shade the area represented by the p value OSO The p value is the area under the curve to the left of the value of the test statistic O O 00 02 03 0 1 15 Since the p value is less than or equal to the level of significance the null hypothesis is rejected So there is enough evidence to conclude that the variance is less than 401 8 O Since the p value is less than or equal to the level of significance the null hypothesis is not rejected So there is not enough evidence to conclude that the variance is less than 401 8 O Since the p value is greater than the level of significance the null hypothesis is rejected So there is enough evidence to conclude that the variance is less than 401 8 20 O Since the p value is greater than the level of significance the null hypothesis is not rejected So there is not enough evidence to conclude that 25 c Based on your answer to part b choose what can be concluded at the 0 05 level of significance about the population variance in the test scores for student athletes 30 35 5 5 F Ar M