A sample of 35 observations is selected from a normal population. The sample mean is 26, and
Question:
A sample of 35 observations is selected from a normal population. The sample mean is 26, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 25 H1: μ > 25
a) Is this a one- or two-tailed test? "One-tailed"—the alternate hypothesis is greater than direction. "Two-tailed"—the alternate hypothesis is different from direction.
b) What is the decision rule? (Round your answer to 3 decimal places.)
c) What is the value of the test statistic? (Round your answer to 2 decimal places.)
d) What is your decision regarding H0? Reject Do not reject
e-1) What is the p-value? (Round your answer to 4 decimal places.)
e-2) Interpret the p-value? (Round your answer to 2 decimal places.) There is _______% chance of finding a z value this larger by "sampling error" when H0 is true.
Statistical Techniques in Business and Economics
ISBN: 978-0078020520
16th edition
Authors: Douglas Lind, William Marchal