Question 15 Which of the following is true regarding P values a. For a left tail

Question

Question 15 Which of the following is true regarding P values

a. For a left tailed test, P is equal to the area in the left tail of the normal distribution curve

b. For a right tailed test, P is equal to the area in the right tail of the normal distribution curve

c. For a two tailed test, P is equal to the sum of the area in the right tail plus the area in the left tail or P is equal to 2 times area in the tail of the test statistic

d. All of the above e. None of the above

Question 16 Which of the following statements is true regarding the T Test for a mean:

a. The t test for a mean is a statistical test for a population mean. The t-test can be used when the population is normal, the population standard deviation is unknown and the sample size is less than 30

b. The t test for a mean is a statistical test for a population mean. The t-test can be used when the population is normal, the population standard deviation is known and the sample size is at least 30

c. The t test a statistical test for the variance or standard deviation. The t-test can be used when the population is normal, the population standard deviation is known and the sample size is at least 30

d. All of the above e. None of the above

Explanation / Answer

15) All of the above, the p value is the area in the tail of a probability distribution.

16) t test is performed when the population standard deviation is not known. It also requires the population from which the data was sampled to be normal. This assumption can be relaxed when the sample size is large, i.e. larger 45 or 50.

Therefore answer is
a. The t test for a mean is a statistical test for a population mean. The t-test can be used when the population is normal, the population standard deviation is unknown and the sample size is less than 30.

The other two options assume the standard deviation is known, and a z test is performed in such a condition.

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