A A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 15 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 14.5. USE SALT (a) Is it appropriate to use a Student's t distribution? Explain. O Yes, because the x distribution is mound-shaped and symmetric and 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, a is known. How many degrees freedom do we use? (b) What are the hypotheses? OHO: H 14.5; H₁: μ< 14.5 14,5 14.5 ọ Hoi An 14,5, Hồ o Hoi A14.5; H: Ọ Hoi - 14.5, Hộ H > 14.5 OH: > 14.5; H₁: # = 14.5 (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. OP-value > 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 OP-value < 0.010 (e) Do we reject or fail to reject Ho? 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. (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.
A A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 15 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 14.5. USE SALT (a) Is it appropriate to use a Student's t distribution? Explain. O Yes, because the x distribution is mound-shaped and symmetric and 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, a is known. How many degrees freedom do we use? (b) What are the hypotheses? OHO: H 14.5; H₁: μ< 14.5 14,5 14.5 ọ Hoi An 14,5, Hồ o Hoi A14.5; H: Ọ Hoi - 14.5, Hộ H > 14.5 OH: > 14.5; H₁: # = 14.5 (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. OP-value > 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 OP-value < 0.010 (e) Do we reject or fail to reject Ho? 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. (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.
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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Transcribed Image Text:A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 15 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 14.5.
USE SALT
(a) Is it appropriate to use a Student's t distribution? Explain.
O Yes, because the x distribution is mound-shaped and symmetric and 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, a is known.
How many degrees of freedom do we use?
(b) What are the hypotheses?
O Ho: H = 14.5; H₁: μ< 14.5
ọ Hoi A = 14.5; Hi A*14.5
O Ho: μ< 14.5; H₁: μ = 14.5
O Ho:
14.5; H₁: > 14.5
O Ho: > 14.5; H₁:
= 14.5
(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.
OP-value > 0.250
O 0.100 < P-value < 0.250
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
OP-value < 0.010
(e) Do we reject or fail to reject Ho?
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.
(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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