The standard hemoglobin reading for healthy adult men is 15 g/110 ml

 

The standard hemoglobin reading for healthy adult men is 15 g/110 ml with a standard deviation of = 2 g.

For a group of men, we find a mean hemoglobin of 16.0 g.

A. Obtain a 95% confidence interval for if the group size was 25

B. Obtain a 95% confidence interval for if the group size was 36

C. Obtain a 95% confidence interval for if the group size was 49.

Select from the answers below.

Place the correct letter in the blanks above. A. 15.440 – 16.560 B. 15.347 – 16.653 C. 14.440 – 15.560 D. 14.316 – 15.684 E. 15.316 – 16.684 F. 14.347 – 15.653

 

 

Use the following situation for Questions 25 and 26. A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal. The test statistic is:

 

 A.A. 0.45

 

 B.B. 1.80

 

 C.C. 3.6

 

 D.D. 8

 

 

Use the following situation for Questions 25 ?V 26. A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal. At 95% confidence, it can be concluded that the average grade of the population

 

 A.A. is not significantly greater than 75

 

 B.B. is significantly greater than 75

 

 C.C. is not significantly greater than 78.6

 

 D.D. is significantly greater than 78.6

 

 

Independent samples are obtained from two normal populations with equal variances in order to construct a confidence interval estimate for the difference between the population means. If the first sample contains 16 items and the second sample contains 36 items, the correct form to use for the sampling distribution is the

 

 A.A. normal distribution

 

 B.B. t distribution with 15 degrees of freedom

 

 C.C. t distribution with 35 degrees of freedom

 

 D.D. t distribution with 50 degrees of freedom

 

 

Use the following situation for Questions 28 – 33. A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. 

 

TODAY

5 YEARS AGE

MEAN

82

88

VARIANCE

112.5

54

SAMPLE SIZE

45

36

The difference between the means of the two populations is (d bar) =

 

 A.A. 58.5

 

 B.B. 9

 

 C.C. -9

 

 D.D. -6

 

 

Use the following situation for Questions 28 – 33. A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. 

 

TODAY

5 YEARS AGE

MEAN

82

88

VARIANCE

112.5

54

SAMPLE SIZE

45

36

The standard deviation of the difference between the means of the two populations is

 

 A.A. 12.9

 

 B.B. 9.3

 

 C.C. 4

 

 D.D. 2

 

 

Use the following situation for Questions 28 – 33. A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. 

 

TODAY

5 YEARS AGE

MEAN

82

88

VARIANCE

112.5

54

SAMPLE SIZE

45

36

The 95% confidence interval for the difference between the two population means is

 

 A.A. -9.92 to -2.08

 

 B.B. -3.92 to 3.92

 

 C.C. -13.84 to 1.84

 

 D.D. -24.228 to 12.23

 

 

Use the following situation for Questions 28 – 33. A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. 

 

TODAY

5 YEARS AGE

MEAN

82

88

VARIANCE

112.5

54

SAMPLE SIZE

45

36

The test statistic for the difference between the two population means is

 

 A.A. -.47

 

 B.B. -.65

 

 C.C. -1.5

 

 D.D. -3

 

 

Use the following situation for Questions 28 – 33. A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. 

 

TODAY

5 YEARS AGE

MEAN

82

88

VARIANCE

112.5

54

SAMPLE SIZE

45

36

The p-value for the difference between the two population means is

 

 A.A. .0014

 

 B.B. .0028

 

 C.C. .4986

 

 D.D. .9972

 

 

Use the following situation for Questions 28 – 33. A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following results. 

 

TODAY

5 YEARS AGE

MEAN

82

88

VARIANCE

112.5

54

SAMPLE SIZE

45

36

What is the conclusion that can be reached about the difference in the average final examination scores between the two classes? (Use a .05 level of significance.)

 

 A.A. There is a statistically significant difference in the average final examination scores between the two classes.

 

 B.B. There is no statistically significant difference in the average final examination scores between the two classes.

 

 C.C. It is impossible to make a decision on the basis of the information given.

 

 D.D. There is a difference, but it is not significant.

 

 

Use the following situation for Questions 34 thru 38. The director of a regional hospital is interested in determining whether or not the proportion of incoming female patients who needs a pap-smear has increased. A sample of female patients taken several years ago is compared with a sample of female patients this year. Results are summarized below.

 

SAMPLE SIZE

NO REQUIRING PAP-SMEAR

PREVIOUS SAMPLE

250

50

PRESENT SAMPLE

300

69

 

Use the following situation for Questions 34 thru 38. The director of a regional hospital is interested in determining whether or not the proportion of incoming female patients who needs a pap-smear has increased. A sample of female patients taken several years ago is compared with a sample of female patients this year. Results are summarized below.

 

SAMPLE SIZE

NO REQUIRING PAP-SMEAR

PREVIOUS SAMPLE

250

50

PRESENT SAMPLE

300

69

The pooled proportion has a value of

 

 A.A. 0.216

 

 B.B. – 0.216

 

 C.C. 1.645

 

 D.D. 0.5

 

The difference between the two proportions is:

 

 A.A. 50

 

 B.B. 19

 

 C.C. 0.50

 

 D.D. – 0.03

 

 

Use the following situation for Questions 34 thru 38. The director of a regional hospital is interested in determining whether or not the proportion of incoming female patients who needs a pap-smear has increased. A sample of female patients taken several years ago is compared with a sample of female patients this year. Results are summarized below.

 

SAMPLE SIZE

NO REQUIRING PAP-SMEAR

PREVIOUS SAMPLE

250

50

PRESENT SAMPLE

300

69

The interest of the director represents a

 

 A.A. one tailed test

 

 B.B. two tailed test

 

 C.C. one tailed or a two tailed test, depending on the confidence coefficient

 

 D.D. one tailed or a two tailed test, depending on the level of significan

 

Use the following situation for Questions 34 thru 38. The director of a regional hospital is interested in determining whether or not the proportion of incoming female patients who needs a pap-smear has increased. A sample of female patients taken several years ago is compared with a sample of female patients this year. Results are summarized below.

 

SAMPLE SIZE

NO REQUIRING PAP-SMEAR

PREVIOUS SAMPLE

250

50

PRESENT SAMPLE

300

69

The test statistics for this test is

 

 A.A. 1.645

 

 B.B. 1.96

 

 C.C. 0.035

 

 D.D. – 0.851

 

 

 

Use the following situation for Questions 34 thru 38. The director of a regional hospital is interested in determining whether or not the proportion of incoming female patients who needs a pap-smear has increased. A sample of female patients taken several years ago is compared with a sample of female patients this year. Results are summarized below. If the test is to be done with an alpha =.05 the .

 

 A.A. null hypothesis should be rejected

 

 B.B. null hypothesis should not be rejected

 

 C.C. alternative hypothesis should be accepted

 

 D.D. None of these alternatives is correct

 

 

Use the following situation for Questions 34 thru 38. The director of a regional hospital is interested in determining whether or not the proportion of incoming female patients who needs a pap-smear has increased. A sample of female patients taken several years ago is compared with a sample of female patients this year. Results are summarized below.

 

SAMPLE SIZE

NO REQUIRING PAP-SMEAR

PREVIOUS SAMPLE

250

50

PRESENT SAMPLE

300

69

Regression analysis was applied between demand for a product (Y) and the price of the product (X), and the following estimated regression equation was obtained. Based on the above estimated regression equation, if price is increased by 2 units, then demand is expected toNo regression equation is given

 

 A.A. increase by 120 units

 

 B.B. increase by 100 units

 

 C.C. increase by 20 units

 

 D.D. decease by 20 units

 

 

If there is a very strong correlation between two variables, then the coefficient of correlation must be .

 

 A.A. much larger than 1, if the correlation is positive

 

 B.B. much smaller than 1, if the correlation is negative

 

 C.C. much larger than one

 

 D.D. None of these alternatives is correct

 

 

Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained. Based on the above estimated regression line if advertising is $10,000, then the point estimate for sales (in dollars) isNo regression equation is given

 

 A.A. $900

 

 B.B. $900,000

 

 C.C. $40,500

 

 D.D. $505,000

 

 

USE THE FOLLOWING SITUATION FOR QUESTIONS 42-45.  

You are given the following information about y and x.

Y
Dependent Variables

X
Independent Variables

5

15

7

12

9

10

11

7

The least squares estimate of b1 equals

 

 A.A. -0.7647

 

 B.B. -0.13

 

 C.C. 21.4

 

 D.D. 16.412

 

 

 

USE THE FOLLOWING SITUATION FOR QUESTIONS 42-45.  

You are given the following information about y and x.

Y
Dependent Variables

X
Independent Variables

5

15

7

12

9

10

11

7

The least squares estimate of b0 equals

 

 A.A. -0.7647

 

 B.B. -1.3

 

 C.C. 164.1176

 

 D.D. 16.41176

 

 

USE THE FOLLOWING SITUATION FOR QUESTIONS 42-45.  

You are given the following information about y and x.

Y
Dependent Variables

X
Independent Variables

5

15

7

12

9

10

11

7

The sample correlation coefficient equals

 

 A.A. -86.667

 

 B.B. -0.99705

 

 C.C. 0.9941

 

 D.D. 0.99705

 

 

A researcher selected residents from each of three different cities to determine if they were willing to participate in a medical experiment.  At alpha = 0.05, test the claim that the proportions who will participate are equal.

Residents

City 1

City 2

City 3

Willing to participate

20

12

22

Not willing to participate

30

38

28

Total

50

50

50

 

 

A.There is not evidence to reject the claim that the proportions are equal because the test value 4.861 < 5.991

 

B.There is evidence to reject the claim that the proportions are equal because the test value 12.592 > 1.042

 

C.There is not evidence to reject the claim that the proportions are equal because the test value 5.991 < 12.592

 

D.here is evidence to reject the claim that the proportions are equal because the test value 5.991 > 1.042

 

 

A researcher is comparing samples from 6 different populations. Assume that the conclusion from an ANOVA is that the null hypothesis is rejected, in other words that the 6 population means are not all equal. How many of the population means would be significantly different from the others?

 

 A.A. Three (half)

 

 B.B. At least 1

 

 C.C. All would be different

 

 D.D. More than 2

 

 

Use the following situation for Questions 48 thru 50. A research firm reported that 15% of those surveyed described their health as poor, 26% as good, 40% as very good, and 19% as excellent. A health professional in Chicago wanted to determine if people in Chicago had similar feelings toward their health. In a sample of 600 people in Chicago, 70 described their health as poor, 180 as good, 210 as very good, and 140 as excellent.

 

Observed             

Expected

Poor

70

90

Good

180

156

Very Good

210

240

Excellent

140

114

Complete the chart below by filling in the observed and expected values.

 

 

 

 

 

 

`

 

 

 

 

 

 

 

 

 

 

Use the following situation for Questions 48 ?V 50. A research firm reported that 15% of those surveyed described their health as poor, 26% as good, 40% as very good, and 19% as excellent.

A health professional in Chicago wanted to determine if people in Chicago had similar feelings toward their health. In a sample of 600 people in Chicago, 70 described their health as poor, 180 as good, 210 as very good, and 140 as excellent.

Complete the chart below by filling in the observed and expected values.

Calculate the test statistic 17.82(to two decimal places, i.e 2.34)

 

 

Use the following situation for Questions 48 – 50. A research firm reported that
15% of those surveyed described their health as poor, 26% as good, 40% as very
good, and 19% as excellent. A health professional in Chicago wanted to determine
if people in Chicago had similar feelings toward their health. In a sample of 600
people in Chicago, 70 described their health as poor, 180 as good, 210 as very
good, and 140 as excellent. Complete the chart below by filling in the observed and
expected values.
48.
Observed Expected
Poor
Good
Very Good
Excellent
49. Calculate the test statistic ________ (to two decimal places, i.e 2.34)
50. Given an a = .05, what is the result of the chi-squared test?
A. There is not evidence to reject the claim that the proportions are equal
because the test value is less than the critical c
2 value.
B. There is evidence to reject the claim that the proportions are equal because
the test value is greater than the critical c
2 value.
C. There is not evidence to reject the claim that the proportions are equal
because the test value is greater than the critical c
2 value.
D. There is evidence to reject the claim that the proportions are equal because
the test value is less than the critical c
2 value.

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