Question

6. A sample of 200 body temperatures of adults has a mean temperature of 98.10◦F. Suppose the population standard deviation is 0.62◦F. Use a 0.05 significance level to test the claim that the mean body temperature of all adults is equal to 98.6◦F as is commonly believed. Fill in the following information as you test the above claim: State the claim symbolically and the opposite of the claim.

H0 :

H1 :

Teststatistic:

P-value:

Conclusion:

Answer 1

6)

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :   = 98.6

H_a :    98.6

Test statistic = z

= ( - ) / / n

= (98.10 - 98.6) / 0.62 / 200

= -11.40

P(z < -11.40) = 0

P-value = 2 * 0 = 0

= 0.05

P-value <

Reject the null hypothesis .

There is sufficient evidence to the claim that the mean body temperature of all adults is equal to 98.6◦F .