1- In a two tailed test, if p<alpha you should 2- Kurt believes that the mean ti

Question

1- In a two tailed test, if p<alpha you should

2- Kurt believes that the mean time it takes him to attend to his yard every week is more than 21 hours. To test this, he has taken a sample. Assuming that the test will be conducted using a .05 level of significance, a p-value of .04 would lead Kurt to conclude his belief is correct.

3- A company wants to test whether the average amount of baking powder per can is 12 ounces. A sample provided a mean of 12.03 oz. The population standard deviation is known to be 0.11 ounces. Assuming that the hypothesis test is to be performed using 0.05 level of significance and a random sample of n = 64 cans, which of the following would be the upper tail critical value?

4- A recent report in which a major pharmaceutical company released the results of testing that had been done on the cholesterol reduction that people could expect if they use the company's new drug indicated that the Type II error probability for a given "true" mean was 0.221 based on the sample size of n = 100 subjects. Given this, what was the power of the test under these same conditions? The alpha level used in the test was 0.1.

Explanation / Answer

(1) In a two tailed test, if p<alpha you should

Ans: Fail to reject the null hypothesis

(2) Kurt believes that the mean time it takes him to attend to his yard every week is more than 21 hours. To test this, he has taken a sample. Assuming that the test will be conducted using a .05 level of significance, a p-value of .04 would lead Kurt to conclude his belief is correct.

ANS:TRUE

(3) A company wants to test whether the average amount of baking powder per can is 12 ounces. A sample provided a mean of 12.03 oz. The population standard deviation is known to be 0.11 ounces. Assuming that the hypothesis test is to be performed using 0.05 level of significance and a random sample of n = 64 cans, which of the following would be the upper tail critical value?

ANS: 2.18

(4) A recent report in which a major pharmaceutical company released the results of testing that had been done on the cholesterol reduction that people could expect if they use the company's new drug indicated that the Type II error probability for a given "true" mean was 0.221 based on the sample size of n = 100 subjects. Given this, what was the power of the test under these same conditions? The alpha level used in the test was 0.1.

ANS: 0.779

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