Question

t-test. Test the following claim about the population mean μ at the given level of significanceα using the given sample statistics. Assume that the population follows a normal distribution.

1. (1) State the null hypothesis, H0, and the alternate hypothesis, Ha indicating which is the claim. You should also list the level of significance, α and state the type of hypothesis test that must be done (i.e. left-tailed, right-tailed, or two-tailed).

2. (2) Show your calculation of the test statistic.

3. (3) Depending on the method you use, either (a) find the p-value or (b) find the critical value(s), if you use the critical region method. One tail tests have only one critical value, but two tail tests have two critical values.

4. (4) Decide either to reject the null hypothesis or ”fail to reject” it.

5. (5) State your conclusions about the claim. When stating your conclusion about the claim, you must carefully select the correct wording that agrees with the information in the table on page 356. (Note: In you conclusion, it may be appropriate to say that there is evidence to reject the claim.)

Claim: μ > 25
α = 0.05
Sample statistics: x = 26.2, s = 2.32, n = 17

Answer 1