Question

We want to test H0 : µ ≤ 120 versus Ha : µ > 120 ....

We want to test H0 : µ ≤ 120 versus Ha : µ > 120 . We know that n = 324, x = 121.100 and, σ = 9. We want to test H0 at the .05 level of significance. For this problem, round your answers to 3 digits after the decimal point.

1. What is the value of the test statistic?

2. What is the critical value for this test?

3. Using the critical value, do we reject or not reject H0?

4. What is the p-value for this test?

5. Using the p-value, do we reject or not reject H0?

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Homework Answers

Answer #1

This is the right tailed test .

The null and alternative hypothesis is

H0 : = 120

Ha : > 120

Test statistic = z

= ( - ) /    / n

= (121.100 - 120) / 9 / 324

= 2.2

1)

Test statistic = 2.2

2)

Critical value = 1.645

3)

Test statistics > critical value

Reject the null hypothesis (H)

4)

P-value = 0.0139

5)

P-value <

Reject the H0

0 0
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