Question

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 was 6.
Using the 0.01 significance level:
(a) State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)
(b) Compute the value of the test statistic. (Round your answer to 3 decimal places.)
(c) What is your decision regarding the null hypothesis?

Answer 1

Answer:

a. Reject hypothesis if tSTAT  < - 3.106    or t STAT > 3.106

The 99% confidence intervals for the population mean lies between 401.620 and 412.380.

b. The test statistic is 4.042.

c.Reject the null hypotheses ; there is sufficient evidence to support the claim that the population mean does not equal 400.

Step-by-step explanation:

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