SOLUTION: Given the following hypotheses: H0 : μ = 400 H1 : μ ≠ 400 A random sample of 12 observations is selected from a normal population. The sample mean was 4

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Question 1039619: Given the following hypotheses:

H0 : μ = 400

H1 : μ ≠ 400

A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:

a.
State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

Reject H0 when the test statistic is the interval (
,
).

b. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

Value of the test statistic


c. What is your decision regarding the null hypothesis?


Do not reject
Reject
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
a.
For a two-tailed test using a 0.01 significance level, the critical t-values (with df = 11) are -3.106 and 3.106.
Decision rule: Reject if the test statistic is in the interval (, -3.106) or (3.106, ).

b. Test statistic.

is the sample mean.

c. Since t = 4.04 lies in the interval (3.106, ), reject .
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