You wish to test the following claim (H) at a significance level of a = 0.10. Ho: 1 = 2 Ha:1 > 2 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 = 13 with a mean of ₁ = 60.2 and a standard deviation of SD₁ = 11.2 from the first population. You obtain a sample of size n₂ = 25 with a mean of 2 50.9 and a standard deviation of SD2 = 9.5 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 greater 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. Ho: 1 = 2 Ha:1 > 2 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 = 13 with a mean of ₁ = 60.2 and a standard deviation of SD₁ = 11.2 from the first population. You obtain a sample of size n₂ = 25 with a mean of 2 50.9 and a standard deviation of SD2 = 9.5 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 greater 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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
![You wish to test the following claim (H) at a significance level of a = 0.10.
Ho: 1 = 2
Ha: 1 > 2
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 = 13 with a mean of ₁ = 60.2 and a standard deviation of SD₁ = 11.2 from
the first population. You obtain a sample of size n₂ = 25 with a mean of 2 = 50.9 and a standard
deviation of SD2 = 9.5 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
O greater than a
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b3e737a-8349-4e54-9e18-7a62f044f437%2F95f3bc8c-c47e-4329-9fbb-e13762e60472%2Fuib1zxa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.10.
Ho: 1 = 2
Ha: 1 > 2
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 = 13 with a mean of ₁ = 60.2 and a standard deviation of SD₁ = 11.2 from
the first population. You obtain a sample of size n₂ = 25 with a mean of 2 = 50.9 and a standard
deviation of SD2 = 9.5 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
O greater than a
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
![As such, the final conclusion is that...
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b3e737a-8349-4e54-9e18-7a62f044f437%2F95f3bc8c-c47e-4329-9fbb-e13762e60472%2Fxn4713a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:As such, the final conclusion is that...
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.
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