Question

You wish to test H:n = 70.5 versus Hau < 70.5 at a significance level of 0.10. You obtain a sample of size 27 with a mean of 61.1 and a standard deviation of 15.7. You believe that the population is normally distributed. ROUND YOUR ANSWERS TO THREE DECIMAL PLACES. (a). What is the test statistic? Do not round your interim calculations. (b). Using your answer from part (a), find the p-value. (c). What is the critical value for this test? (d). The correct decision is to Select an answer the null hypothesis. evidence to conclude that the population mean is less (e). There is Select an answer than 70.5.

Answer 1

The statistic software output for this problem is:

One sample T summary hypothesis test: U: Mean of population Hou = 70.5 HA: < 70.5 Hypothesis test results: Mean Sample Mean Std. Err. DF T-Stat P-value 61.1 3.0214664 26 -3.1110722 0.0022

Test statistics = -3.111

P-value = 0.022

Critical value = -1.315

Reject

not sufficient