Suppose 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 22 exams has a sample standard deviation of 12.3. Test whether or not her goal was achieved using a 10% level of significance. Calculate the appropriate test statistic (round to 2 decimal places as needed) Determine the appropriate critical value (round to 3 decimal places as needed) Which of the following is your conclusion based on the information above: O Do not reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. O Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation greater than 11 points. O Reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. O Do not reject the null hypothesis. There is insufficient evidence to conclude that the students exam scores have a standard deviation less than 11 points. O Do not reject the null hypothesis. There is insufficient evidence to conclude that the students exam scores have a standard deviation greater than 11 points. O Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points.
Suppose 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 22 exams has a sample standard deviation of 12.3. Test whether or not her goal was achieved using a 10% level of significance. Calculate the appropriate test statistic (round to 2 decimal places as needed) Determine the appropriate critical value (round to 3 decimal places as needed) Which of the following is your conclusion based on the information above: O Do not reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. O Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation greater than 11 points. O Reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. O Do not reject the null hypothesis. There is insufficient evidence to conclude that the students exam scores have a standard deviation less than 11 points. O Do not reject the null hypothesis. There is insufficient evidence to conclude that the students exam scores have a standard deviation greater than 11 points. O Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:Suppose 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 22 exams has a sample standard deviation of 12.3.
Test whether or not her goal was achieved using a 10% level of significance.
Calculate the appropriate test statistic (round to 2 decimal places as needed)
Determine the appropriate critical value (round to 3 decimal places as needed)
Which of the following is your conclusion based on the information above:
ODo not reject the null hypothesis. There is sufficient evidence to conclude that the students' exam
scores have a standard deviation less than 11 points.
O Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores
have a standard deviation greater than 11 points.
O Reject the null hypothesis. There is insufficient evidence to conclude that the students' exam
scores have a standard deviation less than 11 points.
O Do not reject the null hypothesis. There is insufficient evidence to conclude that the students'
exam scores have a standard deviation less than 11 points.
O Do not reject the null hypothesis. There is insufficient evidence to conclude that the students'
exam scores have a standard deviation greater than 11 points.
O Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores
have a standard deviation less than 11 points.
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