The distribution of Master’s degrees conferred by a universityis listed in the table.
Major | Frequency |
Mathematics | 216 |
English | 207 |
Engineering | 86 |
Business | 176 |
Education | 267 |
What is the probability that a randomly selected studentgraduating with a Master’s degree has a major of Education or amajor 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 selectedstatistics students and the number of hours they studied for theexam.
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 astudent who studied for 5.5 hours.
3. Find the ?-score for which 70% of the distribution’s arealies 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 of22.4 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 manylicense plates can be made consisting of 3 different lettersfollowed 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 thathe/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 18years 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.