Find the test statistic PValue critical values and state the

Find the test statistic, P-Value, critical value(s), and state the final conclusion: Claim: the mean body temperature of healthy adults is less than 98.6 degrees F. Sample Data: n=106, x-bar= 98.2, assume sigma=0.62 and a significance level of alpha=0.01

z=?

critical z=?

p=?

conclusion:

Solution

Ho: u <98.6

Ha: u>=98.6

test static Z = X- mean/std/sqrt(n)

= 98.6 - 98.2/0.62/sqrt(106)

= 6.6423

Critical value Z = 1.645

P-value = 0 since Z is out of limits

Conclusion: reject Null hypothesis