36.

If the correlation coefficient between SAT scores and college GPA is r=0.76, we can conclude that

Group of answer choices

There is a relatively strong positive relationship between SAT scores and college GPA

If SAT scores increase, there is 76% probability that college GPA will also increase

The relationship between SAT scores and college GPA is relatively weak

A student's college GPA is 76% determined by the student's SAT scores

37.

Consider the hypothesis test H0:20 vs H1:<20. Suppose the Type I error rate is = 0.05, and the p-value obtained in the sample is 0.08. What is the conclusion?

Group of answer choices

Accept the null hypothesis

Fail to prove the null hypothesis

Reject the null hypothesis

Fail to reject the null hypothesis

38.

A researcher plans to carry out a z-test withH0:20 vs H1:>20. Suppose the Type I error rate is = 0.20. What is the critical z-score for this test?

Take your answer to two decimals.

39.

Which is correct about the normal distribution?

Group of answer choices

The larger the standard deviation, the flatter and wider the normal distribution is

There is only one normal distribution

Standard normal distribution is denoted as N(1, 1)

Some normal distributions are positively skewed

40.

What decision(s) can a researcher make in hypothesis testing?

accept the alternative hypothesis reject the alternative hypothesis retain the alternative hypothesis

Group of answer choices

only

only

or

or

or

41.

ACT scores follow N(20.8, 4.8), and SAT scores follow N(500, 110). Eric got 350 on SAT. If he took ACT instead, what score would he have got?

42. Given a certain sample, we compute a 70% confidence interval for as [45, 67]. Are the following statements true or false? The probability that falls within [45, 67] is either 0% or 100% 90% of the time, is between 45 and 67. Had we calculated a 80% confidence interval instead, the interval should have been narrower.

Group of answer choices

Only is true

Only is true

Only is true

Both and are true

Both and are true

43. Consider the hypothesis testH0:=20 vs H1:20. Suppose we obtain X=25 in our data and the z-score for X=25 is z=1.77.What is the p-value?

Group of answer choices

.0768

.4616

.0384

.9616

.0384 and -.0384

44.

For the following two regression equations, which has a stronger correlation between X and Y?

Y=5+3X Y=3+5X

Group of answer choices

Case has stronger correlation

The correlation in and is equally strong

Case has stronger correlation

There is no enough information

45.

In a one-sided hypothesis test using normal distribution, we observeX=26 in our sample of size n = 64. Suppose we know the population standard deviation =8and we set =0.05. Which of the following will change the critical value for the rejection region?

Group of answer choices

change the sample mean from 26 to 30

change the Type I error rate

increase the sample size

change the sample mean from 26 to 20

change the p-value

46.

In a non-directional hypothesis test, the null hypothesis is of the form

Group of answer choices

some claimed value

some claimed value

= some claimed value

> some claimed value

some claimed value

47.

Are the following statements about the p-value true or false?

The p-value is the probability of the null hypothesis being true The p-value is the probability of seeing our data by chance The p-value is the probability of seeing our data under the null hypothesis

Group of answer choices

Both and are true

, , and are all false

Only is true

Both and are true

Only is true

48. Consider the hypothesis testH0:20 vs H1:<20. Suppose we obtain X=25 in our data and the z-score for X=25 is z=1.77. What is the p-value?

Group of answer choices

.4616

.0768

.0384 and -.0384

.9616

.0384

50.

In a hypothesis test, the Type I error rate is = 0.10. Suppose we also know that the Type II error rate is 0.20 for this test. What is the probability of making Type I and Type II errors at the same time?

Put your answer in percentage. If your answer is "12.34%" then put "12.34" in the blank.