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1 A normal distribution has a mean u = 15.2 and a standard deviation of = 0.9 . Find the probability that a score is

1

A normal distribution has a mean u = 15.2 and a standard deviation of = 0.9. Find the probability that a score is greater than 16.1

A

0.8413

B

0.1587

C

0.1357

D

0.1550

2

A normal distribution has a mean u = 67.3 and a standard deviation of = 9.3 Find P81, which separates the bottom 81%

from the top 19% .

A

0.29

B

0.88

C

70.0

D

75.5

3

Assume the women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches.

Find the value of the quartile Q3

A

66.1

B

67.8

C

65.3

D

64.3

4

The weights of certain machine components are normally distributed with a mean of 8.08 g and a standard deviation of 0.1 g. Find the TWO weights, one to separate the top 3% and the other to separate the bottom 3% .

A

8.03 and 8.13

B

7.89 and 8.27

C

7.86 and 8.35

D

8.06 and 8.10

5

The statistic, s, is a good estimate for:

A

u

B

C

D

6

How is the dispersion of a Normal distribution compare to the dispersion of a T - distribution,

A

Normal Distribution is more dispersed than the T distribution

B

Normal Distribution is less dispersed than the

T distribution

C

Normal Distribution is dispersed in the same way as the T distribution

7

As the significance level decreases the chances of reject Ho increases

A

True

B

False

C

Stays the same

D

No relationship between the two statistics

8

The expected result of a hypothesis test are calculated under the assumption that the

Null Hypothesis is which of the following:

A

False

B

True

C

Depends on alpha level given

9

When a directional hypothesis is being tested and the rejection region is on the right side of the mean, then the alternate hypothesis must be of the form:

A

Less than

B

Greater than

C

Not equal

D

Equal

10-

18

Goodmoon Radial Tires CO. claims it's tires last

30,000 miles. You believe that is an over-estimate. You draw a sample of 61 tires and find the mean to be 29,995 miles with a standard deviation of 16.

(Use a significance level of .05)

10

What would be the Null Hypothesis?

A

= 29,995

B

< 30,000

C

= 64

D

> 29,995

E

= 30,000

11

What is the Alternate Hypothesis?

A

= 29,995

B

x < 30,000

C

> 30,000

D

< 30,000

E

U = 30,000

12

What is the variance of the sample?

A

30,000

B

29,995

C

4096 16

D

256

E

16

13

What is the sample mean outcome?

A

30000

B

29,995

C

64

D

16

E

2

14

What is the Distribution of Sample Means (DSM) Standard deviation?

A

2 .05

B

16

C

61

D

3750

E

7250

15

What is the degrees of freedom?

A

15

B

16

C

60

D

61

E

62

16

What is the value of the critical cut off score?

A

+ 1.75

B

-1.67

C

+2.00

D

-2.43

E

-2.66

+

17

What is the values of the computed test statistic?

A

0.0325

B

1.25

C

  • .63

D

  • 1.67

E

  • 2.44

18

What is the final decision?

A

Do Not Reject Ho

B

Do Not Reject Ha

C

Reject Ho

D

Reject Ha

E

Neither reject or Do not reject, since it is a tie.

19 If a False Ho is found not to be rejected then what type of error might have been made?

A

Type 1 error

B

Type II error

C

Type III error

D

False error

E

True error

20

-29

In 1996, the average monthly credit card balance for a population of VISA cardholders was $791, with a standard deviation of $279.

It was believed that the average balance was expected to be higher in 1997. To prove that belief, a sample of 423 accounts in this population had an average balance of $831.

Does this support the hypothesis that the average balance increased? (Use = 5%)

20

What is the Null Ho, Hypothesis?

A

= 791

B

> 831

C

= 1996

D

> 791

E

= 831

21

What is the Alternate Hypothesis?

A

= 831

B

x < 791

C

> 831

D

> 791

E

U = 791

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