State the decision rule in terms of the critical value(s) of the test statistic. Choose the correct answer in parenthesis.
Consider the hypotheses shown below. Given that x=113, σ=27, n=42, α=0.10, complete parts a through c below.
H0: μ=120
HA: μ≠120
a. State the decision rule in terms of the critical value(s) of the test statistic. Choose the correct answer in parenthesis.
Reject the null hypothesis if the calculated value of the test statistic, (z, t) is (not contained within, not contained within, less than, equal to or greater than) the critical value(s), ___??___. Otherwise, do not reject the null hypothesis.
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
b. State the calculated value of the test statistic. ***Hint: The test statistic for a hypothesis test of the population mean (when σ is known) can be calculated using technology or the formula shown below, where z is the z-test statistic, x is the sample mean, σ is the standard deviation of the population, n is the sample size, and μ is the mean of the sampling distribution, which is assumed to be true for the null hypothesis. Calculate the z-test statistic, z.
c. State the Conclusion. ***Hint: For a two-tailed test, if the test statistic does not fall within the critical values, reject H0; otherwise, do not reject H0.
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