A sample is selected from a normal population, and resulting data are as follows: 45.2, 51.5, 49.4, 48.9, 52.4, 40.0 Does this data suggest that the population mean is greater than 50? Use a = 0.05. - a. State the appropriate hypotheses. b. Calculate the value of the test statistic. c. Determine the rejection region. d. What is your conclusion? Interpret your conclusion.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Sample Hypothesis Testing Problem**

A sample is selected from a normal population, and the resulting data are as follows:

45.2, 51.5, 49.4, 48.9, 52.4, 40.0

Does this data suggest that the population mean is greater than 50? Use \(\alpha = 0.05\).

**a. State the appropriate hypotheses.**

**b. Calculate the value of the test statistic.**

**c. Determine the rejection region.**

**d. What is your conclusion? Interpret your conclusion.**
Transcribed Image Text:**Sample Hypothesis Testing Problem** A sample is selected from a normal population, and the resulting data are as follows: 45.2, 51.5, 49.4, 48.9, 52.4, 40.0 Does this data suggest that the population mean is greater than 50? Use \(\alpha = 0.05\). **a. State the appropriate hypotheses.** **b. Calculate the value of the test statistic.** **c. Determine the rejection region.** **d. What is your conclusion? Interpret your conclusion.**
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