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The average student-loan debt is reported to be $24,805. History has shown that the standard deviation for all student loan debt has been $3,200. A student believes that the student-loan debt is lower in her area. She takes a large sample of 53 randomly-selected college students in her area and determines the sample mean student-loan debt is $24,035 and the standard deviation is $3,250. Is there sufficient evidence to support the student's claim at a 0.05 significance level? Round answers to 4 decimals where possible. 1. Determine the null and alternative hypotheses. Fill in one blank for Ho and 2 blanks for H₂ Ho:= Ha:μ?v 2. The Test Statistic type=?v To 4 decimal places, the Test Statistic amount = To 4 decimal places, the p-value = 3. For the rejection region, the critical value type =?v To 4 decimal places, the critical value amount = Make a decision using the rejection region method. O Reject the null hypothesis. O Fail to reject the null hypothesis. 4. Is the p-value greater or less than a? ?v Make a decision using the p-value method. Reject the null hypothesis. O Fail to reject the null hypothesis. ENSERERAS PESTRES

The average student-loan debt is reported to be $24,805. History has shown that the standard deviation for all student loan debt has been $3,200. A student believes that the student-loan debt is lower in her area. She takes a large sample of 53 randomly-selected college students in her area and determines the sample mean student-loan debt is $24,035 and the standard deviation is $3,250. Is there sufficient evidence to support the student's claim at a 0.05 significance level? Round answers to 4 decimals where possible. 1. Determine the null and alternative hypotheses. Fill in one blank for Ho and 2 blanks for H₂ Ho:= Ha:μ?v 2. The Test Statistic type=?v To 4 decimal places, the Test Statistic amount = To 4 decimal places, the p-value = 3. For the rejection region, the critical value type =?v To 4 decimal places, the critical value amount = Make a decision using the rejection region method. O Reject the null hypothesis. O Fail to reject the null hypothesis. 4. Is the p-value greater or less than a? ?v Make a decision using the p-value method. Reject the null hypothesis. O Fail to reject the null hypothesis. ENSERERAS PESTRES

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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The average student-loan debt is reported to be $24,805. History has shown that the standard deviation for all student loan debt has been $3,200. A student believes that the student-loan debt is lower in her area. She takes a large sample of 53 randomly-selected college students in her area and determines the sample mean student-loan debt is $24,035 and the standard deviation is $3,250. Is there sufficient evidence to support the student's claim at a 0.05 significance level? Round answers to 4 decimals where possible. 1. Determine the null and alternative hypotheses. Fill in one blank for Ho and 2 blanks for Ha Ho: μ = H₁:? 2. The Test Statistic type To 4 decimal places, the Test Statistic amount To 4 decimal places, the p-value = H FELESTE 3. For the rejection region, the critical value type To 4 decimal places, the critical value amount = Make a decision using the rejection region method. O Reject the null hypothesis. O Fail to reject the null hypothesis. 4. Is the p-value greater or less than a? ?v Make a decision using the p-value method. O Reject the null hypothesis. O Fail to reject the null hypothesis.
Transcribed Image Text:The average student-loan debt is reported to be $24,805. History has shown that the standard deviation for all student loan debt has been $3,200. A student believes that the student-loan debt is lower in her area. She takes a large sample of 53 randomly-selected college students in her area and determines the sample mean student-loan debt is $24,035 and the standard deviation is $3,250. Is there sufficient evidence to support the student's claim at a 0.05 significance level? Round answers to 4 decimals where possible. 1. Determine the null and alternative hypotheses. Fill in one blank for Ho and 2 blanks for Ha Ho: μ = H₁:? 2. The Test Statistic type To 4 decimal places, the Test Statistic amount To 4 decimal places, the p-value = H FELESTE 3. For the rejection region, the critical value type To 4 decimal places, the critical value amount = Make a decision using the rejection region method. O Reject the null hypothesis. O Fail to reject the null hypothesis. 4. Is the p-value greater or less than a? ?v Make a decision using the p-value method. O Reject the null hypothesis. O Fail to reject the null hypothesis.
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