In a poll, respondents were asked whether

Introduction to Probability
Solve the following problems showing work:
1. In a poll, respondents were asked whether they had ever been in a car accident. 177 respondents indicated that they had been in a car accident and 107 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? 
2. The data set represents the income levels of the members of a country club. Find the probability that a randomly selected member earns at least $102,000 
INCOME (Thousands of dollars)
108 128 82 138 85 108 88 76 158 208
79 98 148 85 128 118 88 168 73 118 
3. In a certain class of students, there are 13 boys from Wilmette, 3 girls from Kenilworth, 11 girls from Wilmette, 6 boys from Glencoe, 5 boys from Kenilworth and 6 girls from Glencoe. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth? 
4. Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 4 possible answers. 
5. Of 1906 people who came into a blood bank to give blood, 300 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.
Measures of Central Tendency
6. Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age, to the nearest year.
55 77 64 77 69 63 62 64 85
7. A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below.
27 30 201 152 218 212 239
Find the median number of newspapers sold. 
8. Last year, nine employees of an electronics company retired. Their ages at retirement are listed below.
59 65 72 51 55 64 77 58 59 Find the Mode

9. The amount of time (in hours) that Sam studied for an exam on each of the last five days is given below. Find the mean study time.
1.7 5.2 8.7 2.4 4.9 
10. The distances (in miles) driven in the past week by each of a company's sales representatives are listed below.
45 70 142 268 352 290
Find the median distance driven.
Frequency Distributions
11. To get the best deal on a CD player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed below:
$ 218 $ 125 $ 381 $ 187 $ 231 $ 213 $ 309 $ 230 
Find the Standard deviation
12. When investigating times required for drive-through service, the following results (in seconds) were obtained. Find the range, variance, and standard deviation for each of the two samples, then compare the two sets of results.
Wendy's 110 113 133 198 124 120 154 110
MacDonald's 105 116 131 176 118 110 135 137 
13. A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. Find the standard deviation of the data summarized in the given frequency distribution.
Salary Number of Employees
5,001 -10,000 11
10,001 - 15,000 13 
15,001 - 20,000 20
20,001 - 25,000 17
25,001 - 30,000 13 
14. The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the standard deviation.


Height (in.) Frequency
70-71 4
72-73 9
74-75 18
76-77 11
78-79 9
80-81 4
82-83 1 
Sampling
15. 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively. Identify which type of sampling is used and why
16. The name of each contestant is written on a separate card, the cards are placed in a bag, and three names are XXXXX XXXXX the bag. Identify which type of sampling is used and why
17. An education expert is researching teaching methods and wishes to interview teachers from a particular school district. She randomly selects ten schools from the district and interviews all of the teachers at the selected schools. Does this sampling plan result in a random sample? Simple random sample? Explain. 
18. A polling company obtains an alphabetical list of names of voters in a precinct. They select every 20th person from the list until a sample of 100 is obtained. They then call these 100 people. Does this sampling plan result in a random sample? Simple random sample? Explain. 
19. The personnel manager at a company wants to investigate job satisfaction among the female employees. One evening after a meeting she talks to all 30 female employees who attended the meeting. Does this sampling plan result in a random sample? Simple random sample? Explain.
ANOVA & Least Squares
20. Find the equation of the regression line for the given data. What is the predicted value of Y when X = -2? What is the predicted value of Y when X = 4?
X -7 -2 5 1 -1 -2 0 2 3 -3 
Y -12 -8 9 1 -5 -6 -1 4 7 -8 
21. The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. Find the equation of the regression line for the given data. Predict the final exam score for students who studied 4 hours. Predict th final exam score for students who studied 6 hours.
Hours (X) 3 5 2 8 2 4 4 5 6 3 
Score (Y) 75 90 70 98 76 88 95 99 98 81 
22. Find the correlation coefficient between X and Y. Is there a weak or strong, positive or negative correlation between X and Y?
X -5 -3 4 1 -1 -2 0 2 3 -4 
Y -9 -7 8 2 -3 -5 -2 4 7 -7 
23. A pharmaceutical company tested two new flu vaccines intended to boost immunity. In order to test the effectiveness of this drug, a one year study was done were at the beginning of the year three groups of eight individuals were given either Flu Shot 1, Flu Shot 2, or a placebo (a shot with only saline and no vaccine). The number of sick days from work each individual took was carefully recorded over the following year. Both flu shots were found to be completely safe with no side effects, but differed in terms of effectiveness. The data below gives the number of sick days for the individuals in each of the three groups.
Perform a one-way ANOVA analysis, testing at the 0.05 level. Also, calculate the mean number of sick days for each group. Describe your results. But equally important, also explain what you would do if you owned your own company. Would you pay for your employers to receive Flu Shot 1 or Flu Shot 2 in order to keep their number of sick days down? If so, which one would you choose? Would you choose either vaccine only if it was very cheap or would you be willing to invest a lot into the vaccine for your employees? Explain your reasoning. 
Group Sick days per year
Placebo 7 4 6 8 6 6 2 9
Flu Shot 1 5 3 3 5 4 7 3 3
Flu Shot 2 2 4 1 2 2 1 2 5