Question

Examine the following hypothesis test when n equals=16, s equals= 11, and x overbar equals = 16

H0​: mu μ	greater than or equals ≥	18 18
HA​: mu μ	less than <	18 18
alpha α	equals =	0.10 0.10

a. State the decision rule in terms of the critical value of the test statistic.

b. State the calculated value of the test statistic.

c. State the conclusion.

Answer 1

a)

t critical value at 15 df with 0.10 significance level = -1.341

Decision rule = Reject H0 if test statistics < -1.341

b)

Test statistics

t = - / S / sqrt(n)

= 16 - 18 / 11 / sqrt(16)

= -0.73

This is test statistics value.

c)

Since test statistics falls in non-rejection region, we do not have sufficient evidence to reject H0.

We conclude at 0.10 level that we fail to support the claim.