Hypothesis Test 1- Mean - Sigma Known - on the TI-83-84 Plus and TI-Inspire w/84 keyboard
Using the Program ZTEST in group CH08Vn
The group CH08Vn must be in RAM see: Changing Groups
a) Identify the null and alternative hypothesis and label the claim,
b) critical value and test statistic,
d) conclusion about the null hypothesis, and
e) final conclusion that addresses the original claim.
The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that σ is known to be 121.2 lb, use a 0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb.
Solution: First, set up the null and alternate hypothesis
a) Identify the null and alternative hypothesis and label the claim (Setup Info)
Run the program and fill in the answers: PRGM Þ ZTEST Þ ENTER Þ ENTER (see Notes above and "More Solutions" below)
>choose 6 to run or another if you want to make changes Output> <End of Output >choose 9 to quit or another if you want to make changesEnd of Output press 9
b) critical value -1.2816 test statistic-.9762
c) P-value .1645 Note: When the p-value gets tiny (smaller than any possible alpha) the programs uses <.001
d) conclusion about the null hypothesis Fail-to Reject Ho
e) final conclusion (Must use flowchart) . (Use the short version.) There is not sufficient evidence to support the claim that the U < 200 pounds.