dentify the null hypothesis (H0), alternative hypothesis (H1), test statistic, P

Question

dentify the null hypothesis (H0), alternative hypothesis (H1), test statistic, P-value, conclusion about the null hypothesis, and the final conclusion that addresses the original claim. If "" is needed, you can type "u" instead.

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 s 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.

Explanation / Answer

hypothesis:

Ho: u<200

Ha : u>200

test static = 183.9 - 200/121.2/sqrt(54)

= -0.9762

p-value = P(Z >-0.9762) = 0.8355

rejection region is z > -1.645

hence we reject null hypothesis

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