Question

Given the following hypotheses:

H₀: μ = 600

H₁: μ ≠ 600

A random sample of 16 observations is selected from a normal population. The sample mean was 609 and the sample standard deviation 6. Using the 0.10 significance level:

1. 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 (inside/ outside) the interval ______, ________

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

3. What is your decision regarding the null hypothesis?

• Reject

• Do not reject

Answer 1

This is the two tailed test .

The null and alternative hypothesis is

H₀ : = 600

H_a : 600

df = 9

t < -1.753 or t > 1.753

Reject H0 when the test statistic is inside the interval .

Test statistic = t

= ( - ) / s / n

= (609 - 600) / 6 / 16

Test statistic = 6

Reject the null hypothesis .