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
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 2CST
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b3e737a-8349-4e54-9e18-7a62f044f437%2F20a0bb97-7ab4-43d4-bc19-2ce4a8aff845%2Frps40pn_processed.jpeg&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b3e737a-8349-4e54-9e18-7a62f044f437%2F20a0bb97-7ab4-43d4-bc19-2ce4a8aff845%2Fzn9h5ho_processed.jpeg&w=3840&q=75)
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.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL