Homework Help is Here – Start Your Trial Now!
Math
Statistics
You wish to test the following claim (H) at a significance level of a = 0.10. H₂:₁ = 12 Ha: μη > με You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 21 with a mean of ₁ = 65.7 and a standard deviation of SD₁ the first population. You obtain a sample of size n₂ = 21 with a mean of 2 = 49.6 and a standard = 15.5 from deviation of SD2 = 12.5 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a Ogreater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null

You wish to test the following claim (H) at a significance level of a = 0.10. H₂:₁ = 12 Ha: μη > με You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 21 with a mean of ₁ = 65.7 and a standard deviation of SD₁ the first population. You obtain a sample of size n₂ = 21 with a mean of 2 = 49.6 and a standard = 15.5 from deviation of SD2 = 12.5 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a Ogreater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
See similar textbooks
icon
Related questions
Question
You wish to test the following claim (H) at a significance level of a = 0.10. H₂:1 = ₂ Ha: μη > με You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 21 with a mean of ₁ 65.7 and a standard deviation of SD1 the first population. You obtain a sample of size n₂ = 21 with a mean of 2 = 49.6 and a standard = 15.5 from deviation of SD2 = 12.5 from the second population. H What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.10. H₂:1 = ₂ Ha: μη > με You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 21 with a mean of ₁ 65.7 and a standard deviation of SD1 the first population. You obtain a sample of size n₂ = 21 with a mean of 2 = 49.6 and a standard = 15.5 from deviation of SD2 = 12.5 from the second population. H What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null
As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. O The sample data support the claim that the first population mean is greater than the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
Transcribed Image Text:As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. O The sample data support the claim that the first population mean is greater than the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS