(a) Is it appropriate to use a Student's t distribution? Explain. O Yes, because the x distribution is mound-shaped and symmetric and o is unknown. O No, the x distribution is skewed left. O No, the x distribution is skewed right. O No, the x distribution is not symmetric. O No, o is known. How many degrees of freedom do we use? (b) What are the hypotheses? O Ho: H = 8.5; H:H > 8.5 O Họ: H = 8.5; H: u < 8.5 Ο 1 μ>8.5; Η: μ α 8.5 O Ho: H = 8.5; Hạ: H = 8.5 Ο 1 μ< 8.5; Η: μ = 8.5 (c) Compute the t value of the sample test statistic. (Round your answer to three decimal places.) t= (d) Estimate the P-value for the test. O P-value > 0.250 O 0.100 < P- value < 0.250 O 0.050 < P-value <0.100 O 0.010 < P-value < 0.050 O p-value < 0.010 (e) Do we reject or fail to reject Hg? O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
(a) Is it appropriate to use a Student's t distribution? Explain. O Yes, because the x distribution is mound-shaped and symmetric and o is unknown. O No, the x distribution is skewed left. O No, the x distribution is skewed right. O No, the x distribution is not symmetric. O No, o is known. How many degrees of freedom do we use? (b) What are the hypotheses? O Ho: H = 8.5; H:H > 8.5 O Họ: H = 8.5; H: u < 8.5 Ο 1 μ>8.5; Η: μ α 8.5 O Ho: H = 8.5; Hạ: H = 8.5 Ο 1 μ< 8.5; Η: μ = 8.5 (c) Compute the t value of the sample test statistic. (Round your answer to three decimal places.) t= (d) Estimate the P-value for the test. O P-value > 0.250 O 0.100 < P- value < 0.250 O 0.050 < P-value <0.100 O 0.010 < P-value < 0.050 O p-value < 0.010 (e) Do we reject or fail to reject Hg? O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5.
![A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5.
(a) Is it appropriate to use a Student'st distribution? Explain.
O Yes, because the x distribution is mound-shaped and symmetric and o is unknown.
O No, the x distribution is skewed left.
O No, the x distribution is skewed right.
O No, the x distribution is not symmetric.
O No, o is known.
How many degrees of freedom do we use?
(b) What are the hypotheses?
Ο Hg: μ= 8.5; H1: μ > 8.5
Ο Hg: μ=8.5; Η: μ < 8.5
O Ho: H > 8.5; H1: H = 8.5
Ο Η: μ 8.5; Η: μ +8.5
Ο Hg: μ<8.5; H]: μ = 8.5
(c) Compute the t value of the sample test statistic. (Round your answer to three decimal places.)
t =
(d) Estimate the P-value for the test.
O p-value > 0.250
O 0.100 < P-value < 0.250
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
O P-value < 0.010
(e) Do we reject or fail to reject H,?
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38146eb9-2bcd-4b4d-a07c-f93835a9c0de%2Fb1961e1f-6427-4145-87a6-455f59bd3e23%2F1c5s0kj_processed.png&w=3840&q=75)
Transcribed Image Text:A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5.
(a) Is it appropriate to use a Student'st distribution? Explain.
O Yes, because the x distribution is mound-shaped and symmetric and o is unknown.
O No, the x distribution is skewed left.
O No, the x distribution is skewed right.
O No, the x distribution is not symmetric.
O No, o is known.
How many degrees of freedom do we use?
(b) What are the hypotheses?
Ο Hg: μ= 8.5; H1: μ > 8.5
Ο Hg: μ=8.5; Η: μ < 8.5
O Ho: H > 8.5; H1: H = 8.5
Ο Η: μ 8.5; Η: μ +8.5
Ο Hg: μ<8.5; H]: μ = 8.5
(c) Compute the t value of the sample test statistic. (Round your answer to three decimal places.)
t =
(d) Estimate the P-value for the test.
O p-value > 0.250
O 0.100 < P-value < 0.250
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
O P-value < 0.010
(e) Do we reject or fail to reject H,?
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
Transcribed Image Text:(f) Interpret the results.
O There is sufficient evidence at the 0.05 level to reject the null hypothesis.
O There is insufficient evidence at the 0.05 level to reject the null hypothesis.
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