Question

Consider the following hypotheses and the sample data in the accompanying table. Answer the following questions using

alphaα

=

0.100.10.

77

88

1010

77

77

88

99

1010

1212

66

66

88

1010

88

99

Upper H 0H0 :

mu equals 10μ=10

Upper H 1H1 :

mu not equals 10μ≠10

a.	What conclusion should be drawn?
b.	Use technology to determine the p-value for this test.

Answer 1

We have to test, H0: = 10 against H1: 10.

The test-statistic is, T = , where, = 65.875,s = 34.5348, n = 16.

Hence, T = 6.4727. Under H0, T ~ t-distribution with (n-1) d.f. i.e. 15 d.f.

The p-value = 2 P(T > 6.4727) = 0.

a. Since, p-value < level of significance = 0.10, we reject H0.

b. The p-value in this case is 0.