Question

In: Math

The distribution of Master’s degrees conferred by a university is listed in the table. Major Frequency...

The distribution of Master’s degrees conferred by a university is listed in the table.

Major

Frequency

Mathematics

216

English

207

Engineering

86

Business

176

Education

267

What is the probability that a randomly selected student graduating with a Master’s degree has a major of Education or a major of Engineering?

A. 0.371 B. 0.720 C. 0.390 D. 0.280

2.

The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam.

Hours, ?

3

5

2

8

2

4

4

5

6

3

Scores, ?

65

80

60

88

66

78

85

90

90

71

A). Calculate the correlation coefficient.

B). Find the equation of the regression line.

C). Use the regression equation to predict the test score of a student who studied for 5.5 hours.

3. Find the ?-score for which 70% of the distribution’s area lies to its right.

A. -0.52 B. -0.98 C. -0.48 D. -0.81

4. A group of 49 randomly selected students has a mean age of 22.4 years. Assume the population standard deviation is 3.8. Construct a 98% confidence interval for the population mean.

A. (20.3, 24.5) B. (18.8, 26.3) C. (21.1, 23.7) D. (19.8, 25.1)

5.Use fundamental counting principle to determine how many license plates can be made consisting of 3 different letters followed by 2 different digits.

A. 1,757,600 B. 175,760 C. 100,000 D. 1,404,000

6. A group of students were asked if they carry a credit card. The responses are listed in the table.

Class

Credit Card

No Credit Card

Total

Freshmen

40

20

60

Sophomore

25

15

40

Total

65

35

100

If a student is selected at random, find the probability that he/she owns a credit card given that the student is a freshman.

A. 0.400 B. 0.615 C. 0.667 D. 0.333

7. Use the standard normal distribution to find ?(−2.50 < ? < 1.50).

A. 0.8822 B. 0.5496 C. 0.6167 D. 0.9270

8.

The number of home runs that Barry Bond hit in the first 18 years of his major league career are listed.

16 25 24 19 33 25 37 41 37

25 42 40 37 34 49 73 46 45

A). Find the mean.

B). Find the median.

C). Find the mode.

Solutions

Expert Solution

1.

Total frequency =216+...+267 =952

P(Education) =267/952 =0.2805

P(Engineering) =86/952 =0.0903

P(Education or Engineering) =0.2805 + 0.0903 =0.3708

Thus, the probability that a randomly selected student graduating with a Master’s degree has a major of Education or a major of Engineering =0.3708

2.

A)

The correlation coefficient, r =0.8465

B)

The regression equation is: = 5.0443X + 56.11392

C)

X =5.5 hours

=5.0443(5.5) + 56.11392 =83.85757

(can be rounded to 84)

3.

The ?-score for which 70% of the distribution’s area lies to its right is: Z = -0.52

Option A. is correct.

4.

Sample size, n =49

Sample mean, =22.4

Population standard deviation, =3.8

Since n > 30 (large sample) and population standard deviation is known, we shall use Z-score.

For 98% confidence level, for a two-tailed case, Zcrit =2.33

Standard Error, SE = =0.543

Margin of Error, MoE =Zcrit*SE =2.33*0.543 =1.265

98% confidence interval for the population mean, =22.4 1.265 =(21.1, 23.7)

Option C. is correct.

5.

Number of license plates that can be made consisting of 3 different letters =P(n, r) =P(26, 3) =15600

(since there are n =26 letters available: A - Z).

Number of license plates that can be made consisting of 2 different digits =P(n, r) =P(10, 2) =90

(since there are n =10 digits available: 0 - 9).

Number of license plates that can be made consisting of 3 different letters followed by 2 different digits =15600*90 =1404000

6.

The probability that he/she owns a credit card given that the student is a freshman =40/60 =0.667

Option C. is correct.

7.

?(−2.50 < ? < 1.50) =0.9270

Option D. is correct.

8.

A) Mean = =648/18 =36

B) Median =middle most value (or the average of two middle most values) after arranging the data in an ascending order =37

C) Mode =most frequently occured value (or values) =25, 37


Related Solutions

The function D(t) = 43.1224(1.0475)^t. gives the number of master’s degrees, in thousands, conferred on women...
The function D(t) = 43.1224(1.0475)^t. gives the number of master’s degrees, in thousands, conferred on women in the United States t years after 1960. Find the number of master’s degrees earned by women in 1984, in 2002, and in 2010. Then estimate the number of master’s degrees that will be earned by women in 2020.?When will the number of master’s degrees earned by women in the U.S. reach a million?
a) Make a frequency distribution table.Make a frequency distribution table with 6 classes on the following...
a) Make a frequency distribution table.Make a frequency distribution table with 6 classes on the following test scores of 25 students in my class. Include the following columns in the table: Classes, Frequency, Class Mark, Class Boundaries, Relative Frequency and Relative % (make sure you find the class width) 45, 67, 87, 96, 76, 56, 45, 56, 67, 77, 88, 92, 34, 37, 46, 86, 90, 96, 49, 50, 60, 70, 85, 70, 99 b) Use the test scores in...
Compare the future roles for nurses with master’s degrees versus those for nurses with baccalaureate degrees...
Compare the future roles for nurses with master’s degrees versus those for nurses with baccalaureate degrees only.
Approximate the mean for the data in the following frequency distribution table. Data Frequency 35 -...
Approximate the mean for the data in the following frequency distribution table. Data Frequency 35 - 39 26 40 - 44 10 45 - 49 25 50 - 54 24
Calculate: a. Series, Sturges b. Frequency distribution table.
15 18 19 22 23 24 27 28 28 29 29 30 30 33 33 34 35 38 38 40 41 41 45 45 45 48 48 49 49 49 51 51 51 52 52 53 54 54 56 56 56 59 59 59 59 60 60 60 61 61 61 63 63 64 66 66 66 67 69 69 70 73 74 74 74 75 75 75 75 76 76 79 82 84 87 87 88 90 95 100...
explain how to contructed a grouped frequency distribution table
explain how to contructed a grouped frequency distribution table
1. The following is the frequency distribution table of the marks scored by candidates in an...
1. The following is the frequency distribution table of the marks scored by candidates in an examination. Marks 0-9 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99 frequency 2 7 8 13 24 30 6 5 3 2 A. Make a cumulative frequency table and use it to draw the cumulative frequency curve for the distribution B. Use your graph to estimate I. The median mark II. The lower quartile III. The upper quartile IV. The inter quartile range...
The boundaries of a frequency distribution are given. Fill in the rest of the table finding...
The boundaries of a frequency distribution are given. Fill in the rest of the table finding class midpoints, frequencies, and relative frequencies. Boundaries Midpoints (m) Freq. (f) Rel. Freq. mf (m - x̅)2 *f 12.5-19.5 19.5-26.5 26.5-33.5 33.5-40.5 40.5-47.5 47.5-54.5 This is all of the data given for this question.
1) Identify the class​ width for the given Frequency Distribution Table List -------------Frequency 10 to 14...
1) Identify the class​ width for the given Frequency Distribution Table List -------------Frequency 10 to 14 -------------27 15 to 19 -------------35 20 to 24 -------------14 25 to 29 --------------2 30 to 34 --------------4 35 to 39 --------------2 40 to 44 --------------1 2) Which measurement is the most accurate? Mode Mean Range Median
. Build a frequency distribution table with five classes on the approved credits of ?? students...
. Build a frequency distribution table with five classes on the approved credits of ?? students (sample) of the Nursing Program: (40 points) 32 34 56 43 31 24 19 24 58 45 68 51 46 30 29 37 63 59 73 21 53 42 32 16 19 66 75 17 48 21 23 19 24 88 70 19 53 12 24 27 NOTE 1: Make a frequency distribution table that has limits, boundaries, class marks or midpoints, absolute frequencies...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT