The following is a frequency distribution of the monthly expenditures for gasoline of 400 households in Chattanooga.

Class Expenditure ($) # of households 1 0 and under 20 84 2 20 and under 40 128 3 40 and under 60 68 4 60 and under 80 56 5 80 and under 100 40 6 100 and over 24

10. What is the cumulative relative frequency of the 3rd class? _________________________.

Exhibit - 1 A survey of 800 college seniors resulted in the following cross-tabulation regarding their undergraduate major and whether they plan to go to graduate school. Undergraduate Major

Graduate School Business Engineering Others Total Yes 70 84 126 280 No 182 208 130 520 Total 252 292 256 800

11. Refer to Exhibit - 1. What percentage of the students does not plan to go to graduate school? 12. Refer to Exhibit - 1. What percentage of the students' undergraduate major is engineering? 13. Refer to Exhibit - 1. Of those students who are majoring in business, what percentage plans to go to graduate school? 14. Among the students who plan to go to graduate school, what percentage indicated "Other" majors?

Exhibit - 2 A researcher has collected the following sample data. The mean of the sample is 5. 3 5 12 3 2 15. Refer to Exhibit - 2. The variance is________. 16. Refer to Exhibit - 2. The standard deviation is __________. 17. Refer to Exhibit - 2. The coefficient of variation is __________. 18. Refer to Exhibit - 2. The range is __________. 19. Refer to Exhibit - 2. The interquartile range is __________. 20. A lottery is conducted using three urns. Each urn contains chips numbered from 0 to 9. One chip is selected at random from each urn. The total number of sample points in the sample space is __________. 21. Events A and B are mutually exclusive. Which of the following statements is also true? a. A and B are also independent. b. P(A B) = P(A)P(B) c. P(A B) = P(A) + P(B) d. P(A B) = P(A) + P(B) 22. X is a random variable with the probability function: f(X) = X/6 for X = 1, 2 or 3. The expected value of X is __________. 23. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. The probability that X is between 1.48 and 15.56 is __________. 24. A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80.54 and 88.9 is __________.

EU-FRM-010-002-EN Pub. Date: 23/03/2018 Upd: 00

Course: BUS 202- Statistics II 1. As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution: ________________. 2. In developing an interval estimate, if the population standard deviation is unknown: a. it is impossible to develop an interval estimate b. the standard deviation is arrived at using the range c. the sample standard deviation can be used d. it is assumed that the population standard deviation is 1 3. The level of significance in hypothesis testing is the probability of: __________________. 4. When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2: a. n1 must be equal to n2 b. n1 must be smaller than n2 c. n1 must be larger than n2 d. n1 and n2 can be of different sizes, 5. The required condition for using an ANOVA procedure on data from several populations is that the: _________________________. 6. If we are interested in testing whether the proportion of items in population 1 is larger than the proportion of items in population 2, the: a. null hypothesis should state P1 - P2 < 0 b. null hypothesis should state P1 - P2 > 0 c. alternative hypothesis should state P1 - P2 > 0 d. alternative hypothesis should state P1 - P2 < 0 7. A random sample of 64 students at a university showed an average age of 25 years and a sample standard deviation of 2 years. The 98% confidence interval for the true average age of all students in the university is _______________. Exhibit - 1 A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to determine if the average

EU-FRM-010-002-EN Pub. Date: 23/03/2018 Upd: 00 age of all the students at the university is significantly more than 24. Assume the distribution of the population of ages is normal. 8. Refer to Exhibit - 1. The test statistic is ______. 9. Refer to Exhibit - 1. The p-value is between __________. 10. Refer to Exhibit - 1. At 95% confidence, it can be concluded that the mean age is _____________. Exhibit - 2 Salary information regarding male and female employees of a large company is shown below.

Male Female Sample Size 64 36 Sample Mean Salary (in $1,000) 44 41 Population Variance ( ) 128 72

We are interested in the difference between the two population means. 11. Refer to Exhibit - 2. At 95% confidence, the margin of error is _________. 12. Refer to Exhibit - 2. The 95% confidence interval for the difference between the means of the two populations is _________. 13. Refer to Exhibit - 2. If you are interested in testing whether the average salary of males is significantly greater than that of females, the test statistic is _________. 14. Refer to Exhibit - 2. At 95% confidence, the conclusion is the _________________________. Exhibit - 3 Part of an ANOVA table is shown below. Source of Variation

Sum of Squares

Degrees of Freedom

Mean Square

F

Between Treatments Within Treatments Error

64

2

8

Total 100

EU-FRM-010-002-EN Pub. Date: 23/03/2018 Upd: 00 15. Refer to Exhibit - 3. The number of degrees of freedom corresponding to between treatments is _________. 16. Refer to Exhibit - 3. The number of degrees of freedom corresponding to within treatments is _________. 17. Refer to Exhibit - 3. The mean square between treatments (MSTR) is ______________. 18. Refer to Exhibit - 3. If at 95% confidence we want to determine whether the means of the populations are equal, the p-value is: _________________________. 19. Refer to Exhibit - 3. The conclusion of the test is that the means_________________________. Exhibit - 4

In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether the proportions have changed, a sample of 300 students was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. 20. Refer to Exhibit -4. This problem is an example of a: a. normally distributed variable b. test for independence c. Poisson distributed variable d. multinomial population 21. Refer to Exhibit - 4. The expected frequency for the Business College is _________. 22. Refer to Exhibit - 4. The calculated value for the test statistic equals _________. 23. Refer to Exhibit - 4. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals _________. 24. Refer to Exhibit - 4. The p-value is ________________________. 25. Refer to Exhibit - 4. The conclusion of the test is that the ___________________