Question

# Question 1 The p-value of a test H0: μ= 20 against the alternative Ha: μ >20,...

Question 1

The p-value of a test H0: μ= 20 against the alternative Ha: μ >20, using a sample of size 25 is found to be 0.3215.

What conclusion can be made about the test at 5% level of significance?

Accept the null hypothesis and the test is insignificant.

Reject the null hypothesis and the test is insignificant.

Reject the null hypothesis and the test is significant

Question 2

As reported on the package of seeds, the mean time until maturity of a certain variety of tomato plant is 70 days. It is also known that the maturity of this variety of tomato follows a normal distributed with standard deviation σ = 2.4. A researcher believes that it will indeed take more time in a given condition. To test his belief, he selects a sample of 16 plants of this variety under the maintained condition and measure the time until maturity. The sample yields x ¯ = 75. days. What is the p-value of the test for testing H0: μ = 70 against Ha: μ <70 ?

Cannot be determined.

0.50

1.00

Question3

We wish to test a hypothesis H 0: μ = 10  against H a:μ ≠ 10  , where  σ = 2.5 . On the basis of a sample of size 40, the sample mean is found to be 11.5. Find the test statistic value at 5% significance level.

3.795

-4.610

1.926

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