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You believe both populations are normally distributed and that the population standard deviations are known. You obtain a sample of size ₁ = 42 with a mean of ₁ = 50.1 and a population standard deviation of o₁ = 11.6 from the first population. You obtain a sample of size n₂ = 53 with a mean of ₂ = 53.2 and a population standard deviation of o2 = 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 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 believe both populations are normally distributed and that the population standard deviations are known. You obtain a sample of size ₁ = 42 with a mean of ₁ = 50.1 and a population standard deviation of o₁ = 11.6 from the first population. You obtain a sample of size n₂ = 53 with a mean of ₂ = 53.2 and a population standard deviation of o2 = 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 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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 2CST
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You wish to test the following claim (H) at a significance level of a = 0.02. H₁:41 = 2 Ha: <H2 You believe both populations are normally distributed and that the population standard deviations are known. You obtain a sample of size n₁ = = 42 with a mean of 1 = 50.1 and a population standard deviation of o₁ = 11.6 from the first population. You obtain a sample of size n₂ = 53 with a mean of ₂ = 53.2 and a population standard deviation of o₂ = 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
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.02. H₁:41 = 2 Ha: <H2 You believe both populations are normally distributed and that the population standard deviations are known. You obtain a sample of size n₁ = = 42 with a mean of 1 = 50.1 and a population standard deviation of o₁ = 11.6 from the first population. You obtain a sample of size n₂ = 53 with a mean of ₂ = 53.2 and a population standard deviation of o₂ = 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
As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O The sample data support the claim that the first population mean is less than the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is less 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 less than the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. O The sample data support the claim that the first population mean is less than the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.
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