Please and thank you The health of employees is monitored by

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 sigma is known to be 121.2 lb, use a 0.10 significance level to the claim that the population mean of all such employees weights is less than 200 lb.

Solution

Test of mu = 200 vs H1:mu< 200
The assumed standard deviation = 121.2

test statistic, T=-0.98

p-value=0.164

as P>0.1(=level of significance) so we are fail to reject H0

conculsion: we conclude that our claim is true that the mean is less than 200 at 10% level of signicnce.