Question

Consider the following hypotheses and sample​ data, and then complete parts a and b below using alpha quals=0.10

H0​: μ≤16

H1​: μ>16

19 20 12 19 20 22 14 22 18 17     

  

​a) What conclusion should be​ drawn?

Determine the critical​ value(s).

The critical​ value(s) is(are) ______

​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

Determine the test​ statistic,

_____

​(Round to two decimal places as​ needed.)

What conclusion should be​ drawn?

A.

Do not reject H0. There is not sufficient evidence to conclude that μ>16.

B.

Reject H0. There is sufficient evidence to conclude that μ>16.

C.

Reject H0. There is not sufficient evidence to conclude that μ>16.

D.

Do not reject H0. There is sufficient evidence to conclude that μ>16.

​b) Use technology to determine the​ p-value for this test.

​p-value=____

Answer 1

We find the mean and standard deviation of the sample data as :

Now, we conduct the T-test for one population mean as :

a)

The critical​ value is 1.383

The test​ statistic is 2.25

Conclusion :

Correct option : B. Reject H0. There is sufficient evidence to conclude that >16.

b)

P-value = 0.0255