A random sample of n,- 49 measurements from a population with population standard deviation o,-3 had a sample mean of x - 9. An independent random sample of n, - 64 measurements from a second population with population standard deviation o,4 had a sample mean of x,- 11. Test t claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain. O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. (b) State the hypotheses. (c) Compute x - Compute the corresponding sample distribution value. (Test the difference - H. Round your answer to two decimal places.) (d) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
A random sample of n,- 49 measurements from a population with population standard deviation o,-3 had a sample mean of x - 9. An independent random sample of n, - 64 measurements from a second population with population standard deviation o,4 had a sample mean of x,- 11. Test t claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain. O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. (b) State the hypotheses. (c) Compute x - Compute the corresponding sample distribution value. (Test the difference - H. Round your answer to two decimal places.) (d) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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![A random sample of n, = 49 measurements from a population with population standard deviation o, = 3 had a sample mean of x, = 9. An independent random sample of n, = 64 measurements from a second population with population standard deviation o, = 4 had a sample mean of x, = 11. Test the
claim that the population means are different. Use level of significance 0.01.
(a) Check Requirements: What distribution does the sample test statistic follow? Explain.
O The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
(b) State the hypotheses.
O Ho: H1 = H2; H;:H, > Hz
O Ho: H1 = H2i Hi:H, * H2
O Ho: H,* Hz; H;:H, = H2
O Ho: H1 = H2; HiiHy<Hz
(c) Compute x, - X2.
X1 - X2 =
Compute the corresponding sample distribution value. (Test the difference u, - H3. Round your answer to two decimal places.)
(d) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcefe049b-e315-47f0-a296-c191da050165%2Fb3ce851a-4ea5-4c42-9d6a-edf810096bfb%2Fn0jrrra_processed.png&w=3840&q=75)
Transcribed Image Text:A random sample of n, = 49 measurements from a population with population standard deviation o, = 3 had a sample mean of x, = 9. An independent random sample of n, = 64 measurements from a second population with population standard deviation o, = 4 had a sample mean of x, = 11. Test the
claim that the population means are different. Use level of significance 0.01.
(a) Check Requirements: What distribution does the sample test statistic follow? Explain.
O The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
(b) State the hypotheses.
O Ho: H1 = H2; H;:H, > Hz
O Ho: H1 = H2i Hi:H, * H2
O Ho: H,* Hz; H;:H, = H2
O Ho: H1 = H2; HiiHy<Hz
(c) Compute x, - X2.
X1 - X2 =
Compute the corresponding sample distribution value. (Test the difference u, - H3. Round your answer to two decimal places.)
(d) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
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