uppose that on a 100-point test, the teacher\'s goal is for her students\' exam

Question

uppose that on a 100-point test, the teacher's goal is for her students' exam scores to have a standard deviation of less than 11 points. A recent sample of 21 exams as a sample standard deviation of 13.5 Test whether or not her goal was achieved using ?-0.10. Use technology to find the p-value and interpret the result. alculate the appropriate test statistic 2 30.12 Round to two dcimal places as needed) etermine the appropriate critical value(s) The critical value(s) is(are) 12.443 Round to three decimal places as needed. Use a comma to separate answors as needed) Since the test statistic is exam scores have a standard deviation b. The p-value is Round to three decimal places as needed.) Since the p-value is standard deviation | the the null hypothesis. There is evidence to conclude that the students 11 points ? | the null hypothesis. There is evidence to conclude that the students' exam scores havea 11 points. Enter your answer in each of the answer boxes.

Explanation / Answer

The statistical software output for this problem is:

One sample variance summary hypothesis test:
?2 : Variance of population
H0 : ?2 = 121
HA : ?2 < 121

Hypothesis test results:

Hence.

Test statistic = 30.12

Critical value = 12.443

Greater; Critical value; Do not reject; insufficient; Less than

p - Value = 0.932

Greater; Do not reject; insufficient; Less than

Variance Sample Var. DF Chi-square Stat P-value ?2 182.25 20 30.123967 0.9321

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