# MATHEMATICS

Question 1 of 20

In a one-tailed hypothesis test, a critical point is a point that divides the area under the sampling distribution of a:

A. statistic into one rejection region and one nonrejection region.

B. parameter into one rejection region and one nonrejection region.

C. statistic into one rejection region and two nonrejection regions.

D. parameter into two rejection regions and one nonrejection region.

Question 2 of 20

A two-tailed hypothesis test contains

A. one rejection region and two nonrejection regions.

B. two rejection regions and one nonrejection region.

C. two rejection regions and two nonrejection regions.

D. one rejection region and one nonrejection region.

Question 3 of 20

A researcher wants to test if the mean price of houses in an area is greater than $145,000. The alternative hypothesis for this example will be that the population mean is

A. equal to $145,000.

B. not equal to $145,000.

C. greater than or equal to $145,000.

D. greater than $145,000.

Question 4 of 20

A researcher wants to test if the mean price of houses in an area is greater than $175,000. The null hypothesis for this example will be that the population mean is

A. less than or equal to $175,000.

B. not equal to $175,000.

C. greater than or equal to $175,000.

D. greater than $175,000.

Question 5 of 20

For a one-tailed test, the p-value is

A. the area under the curve between the mean and the observed value of the sample statistic.

B. twice the area under the curve between the mean and the observed value of the sample statistic.

C. the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis.

D. twice the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis.

Question 6 of 20

A two-tailed hypothesis test using the normal distribution reveals that the area under the sampling distribution curve of the mean and located to the right of the sample mean equals .028. What is the p-value for this test?

A. .028

B. .056

C. .014

D. .610

Question 7 of 20

In a hypothesis test with hypotheses H0: Mu GE 37and H1: Mu < 37 , a random sample of 54 elements selected from the population produced a mean of 35.8. Assuming that population standard deviation is 8.9 , what is the approximate p-value for this test?

A. .8389

B. .4195

C. .1611

D. .3222

Question 8 of 20

In a hypothesis test with hypotheses Ho: Mu GE 136 and H1: Mu < 136, a random sample of 67 elements selected from the population produced a mean of 130.7. Assume that population sd is 19.2 , and that the test is to be made at the 2% significance level.

What is the value of the test statistic, z?

A. 2.26

B. −1.84

C. 1.52

D. −2.26

Question 9 of 20

A researcher wants to test if the mean price of houses in an area is greater than $145,000. A random sample of 36 houses selected from the area produces a mean price of $149,100. Assume that and that the test is to be made at the 2% significance level.

What is the value of the test statistic, z?

A. −2.10

B. 1.26

C. 2.10

D. −1.26