**
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

**
Example 1) **

a) Identify the null and alternative hypothesis and label the claim,

b) critical value and test statistic,

c) P-value,

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 changes End of Output press 9

**More Solution:
**b) critical value

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.

end