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1. Which of the following...

1. Which of the following statements are true regarding the areas beneath any normal curve? (Points: 2)

About 68.3% of the area is in the interval

About 95.5% of the area is in the interval

Nearly all of the area (about 99.7%) is in the interval

All of the above are true statements.

2. Assume x is normally distributed with mean and standard deviation . Use the approximate areas beneath the normal curve, as discussed in this section, to answer the following questions. Find (Points: 2)

A) 0.50

B) 0.16

C) 0.34

D) 0.84

3. In 2020, the average charge of tax preparation was $95. Assuming a normal distribution and a standard deviation of $10, use the approximate areas beneath the normal curve, as discussed in this section, to answer the following questions.

What proportion of tax preparation fees were between $75 and $115? (Points: 2)

A) 0.84

B) 0.34

C) 0.955

D) 0.75

4. Given that z is a standard normal random variable and that the area to the right of z is 0.1949, then the value of z must be (Points: 2)

A) 0.51

B) -0.51

C) 0.86

D) -0.86

5. Your high school graduating class had 564 members. Thirty-three percent of these are expected to attend college. The probability that less than 160 will attend college is (Points: 2)

A) 0.1580

B) 0.4900

C) 0.0090

D) 0.0832

6. The sampling distribution of the mean will have the same standard deviation as the original population from which the samples were drawn. (Points: 2)

True

False

7. Consider an infinite population with a mean of 160 and a standard deviation of 25. A random sample of size 64 is taken from this population. The standard deviation of the sample mean equals: (Points: 2)

A) 12.649

B) 25.0

C) 2.56

D) 3.125

8. An infinite population has a mean of 60 and a standard deviation of 8. A sample of 50 observations will be taken at random from this population. The probability that the sample mean will be between 57 and 62 is (Points: 2)

A) 0.9576

B) 0.9960

C) 0.2467

D) 0.3520

9. A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at random from this population. The standard error of the sample mean equals: (Points: 2)

A) 2.50

B) 12.50

C) 1.343

D) 1.50

10. If all possible samples of size n are drawn from an infinite population with a mean of 15 and a standard deviation of 5, then the standard error of the sample mean equals 1.0 only for samples of size (Points: 2)

A) 5

B) 15

C) 25

D) 75

--------------------------------------------------------------------------------

About 68.3% of the area is in the interval

About 95.5% of the area is in the interval

Nearly all of the area (about 99.7%) is in the interval

All of the above are true statements.

2. Assume x is normally distributed with mean and standard deviation . Use the approximate areas beneath the normal curve, as discussed in this section, to answer the following questions. Find (Points: 2)

A) 0.50

B) 0.16

C) 0.34

D) 0.84

3. In 2020, the average charge of tax preparation was $95. Assuming a normal distribution and a standard deviation of $10, use the approximate areas beneath the normal curve, as discussed in this section, to answer the following questions.

What proportion of tax preparation fees were between $75 and $115? (Points: 2)

A) 0.84

B) 0.34

C) 0.955

D) 0.75

4. Given that z is a standard normal random variable and that the area to the right of z is 0.1949, then the value of z must be (Points: 2)

A) 0.51

B) -0.51

C) 0.86

D) -0.86

5. Your high school graduating class had 564 members. Thirty-three percent of these are expected to attend college. The probability that less than 160 will attend college is (Points: 2)

A) 0.1580

B) 0.4900

C) 0.0090

D) 0.0832

6. The sampling distribution of the mean will have the same standard deviation as the original population from which the samples were drawn. (Points: 2)

True

False

7. Consider an infinite population with a mean of 160 and a standard deviation of 25. A random sample of size 64 is taken from this population. The standard deviation of the sample mean equals: (Points: 2)

A) 12.649

B) 25.0

C) 2.56

D) 3.125

8. An infinite population has a mean of 60 and a standard deviation of 8. A sample of 50 observations will be taken at random from this population. The probability that the sample mean will be between 57 and 62 is (Points: 2)

A) 0.9576

B) 0.9960

C) 0.2467

D) 0.3520

9. A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at random from this population. The standard error of the sample mean equals: (Points: 2)

A) 2.50

B) 12.50

C) 1.343

D) 1.50

10. If all possible samples of size n are drawn from an infinite population with a mean of 15 and a standard deviation of 5, then the standard error of the sample mean equals 1.0 only for samples of size (Points: 2)

A) 5

B) 15

C) 25

D) 75

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