MATLAB: An Introduction with Applications
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Determine the critical value or values for a one-mean z-test at the 10% significance level if the hypothesis test is left-tailed (Ha:μ<μ0).
z0.101.282z0.051.645z0.0251.960z0.012.326z0.0052.576
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- 26arrow_forwardA pipes manufacturer makes pipes with a length that is supposed to be 16 inches. A quality control technician sampled 29 pipes and found that the sample mean length was 16.05 inches and the sample standard deviation was 0.14 inches. The technician claims that the mean pipe length is not 16 inches. What type of hypothesis test should be performed? What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist at the α=0.01 significance level to support the technician's claim?arrow_forwardDetermine the critical value or values for a one-mean z-test at the 6% significance level if the hypothesis test is two-tailed ( Ζ0.12 | Zo.06 1175 1.555 1.881 2.170 2.432 Select the correct answer below: O -1.881 O-1.555 O 1.555 -1.555 and 1.555 -1.881 and 1.881arrow_forward
- A hypothesis will be used to test that a population mean equals 5 against the alternative that the population mean is less than 5 with unknown variance. What is the critical value for the test statistic Io for the following significance levels? Round your answers to three decimal places (e.g. 98.765). (a) a = 0.01 and n = 16. To = (b) a = 0.05 and n = 10. Io = (c) a = 0.10 and n = 6. Io =arrow_forwardWe want to know if there is a difference between the mean list price of a three bedroom home, μ3, and the mean list price of a four bedroom home, μ4, H0:μ3=μ4 versus Ha:μ3≠μ4. Suppose we get a p-value of 0.1325, which is the proper conclusion of this test? a) We accept the null hypothesis at 5% significance. There is extremely strong evidence of a significance difference between the mean list price of three bedroom homes and the mean list price of four bedroom homes. b) We reject the null hypothesis at 5% significance. There is no evidence of a significance difference between the mean list price of three bedroom homes and the mean list price of four bedroom homes. c) We fail to reject the null hypothesis at 5% significance. There is no evidence of a significance difference between the mean list price of three bedroom homes and the mean list price of four bedroom homes. d) We reject the null hypothesis at 5% significance. There is extremely strong evidence of a significance difference…arrow_forward4. The population mean zinc mass for a certain battery brand is believed to be 3.0 g. However, a recent random sample of 61 batteries had a mean mass of 3.08 g with sample standard deviation .152 g. Does this data provide compelling evidence that the population mean zinc mass exceeds 3.0 g? (a) Define the appropriate null and alternative hypotheses. (b) Using a significance level of .01, does this data provide compelling evidence that the population mean zinc mass exceeds 3.0 g?arrow_forward
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