1.) The amount of television viewed by today’s youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were 15 and 5, respectively. Identify the type of data collected by the PAWT.

1. Quantitative
2. Qualitative

2.) In skewed right distributions of data, which of the following best describes the relationship between the mean and median of the distribution?

1. Mean = Median
2. Mean > Median
3. Mean < Median

3.) Read the following statement taken from the Atlanta Abstract. "The average income of Atlanta residents in 1998 was $25,300." Select from the choices that follow the statistic that was used to make the indicated statement.

1. Mean = 25,300
2. Median = 25,300
3. Standard Deviation = 25,300
4. Mode = 25,300

4-7.) Many firms use on the job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 80 and 5, respectively, and the distribution of scores is mound-shaped.

4.) Suppose the trainee in question scored a 62. Compute the z-score.

1. 3.6
2. -18
3. -3.6
4. 18

5.) Assuming a mound-shaped distribution of test scores, what percentage of the test-takers scored better than the trainee who scored 62?

1. Approximately 84%
2. Approximately 95%
3. Approximately 97.5%
4. Approximately All

6.) Assuming nothing is known about the distribution, what percentage of test-takers scored above 90?

1. At least 75%
2. At most 25%
3. At most 12.5%
4. At most 11%

7.) Additional information indicated that the median of the test was 86. What type of distribution most likely describes the shape of the test scores?

1. symmetric
2. skewed left
3. skewed right
4. unable to determine with the information given

8.) For the following data, calculate the value of the upper quartile.

1, 3, 3, 4, 7, 7, 8, 9, 9, 11, 11, 15

1. 10
2. 9
3. 3
4. 11

9.) The top speeds for a sample of 5 new automobile brands are listed below. Calculate the standard deviation of the speeds.

212,255,133,567,123

Answer_ \(S=\frac{1}{n-1}\sum\limits_{i=1}^{n}{{{\left( {{X}_{i}}-\bar{X} \right)}^{2}}=181.2843}\) _

10.) The book cost (in dollars) for one semester’s books are given below for a sample of five college students. Calculate the variance of the book costs.

200, 250, 375, 125, 280

1. 92.965
2. 8642.5
3. 83.1505
4. 6914.0

11-14.) Mothers Against Drunk Driving is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol plated a role in the accident. The numbers are shown below.

11.) What proportion of the accidents involved more than a single vehicle?

1. 75/400
2. 325/400
3. 275/400
4. 50/400

12.) What proportion involved alcohol or a single car?

1. 170/400
2. 75/400
3. 195/400
4. 245/400

13.) Given that the accident involved multiple vehicles, what proportion involved alcohol?

1. 120/325
2. 205/325
3. 120/170
4. 100/325

14.) What proportion of the accidents involved a single car without the effect of alcohol?

1. 25/400
2. 25/230
3. 25/75
4. 280/400

15.) If events A and B are independent and P(A) = .6 and P(B) = .4, which of the following is correct?

1. P(A and B) = 0
2. P( A or B) = 0.76
3. P(A and B) = 1.00
4. P(A or B) = 0.24

16.) If you have 5 people how many different groups of 2 can be made?

1. 24
2. 36
3. 12
4. 10

17.) Fill in the blank. A(n) ____________ is the collection of all the sample points in an experiment.

1. venn diagram
2. sample space
3. event
4. union

18.) A standard deck of cards contains 52 cards, 13 in each of the four suits (hearts, spades, clubs, and diamonds). Suppose you have been dealt three cards from a randomly shuffled standard deck of cards. Find the probability that all three cards are clubs.

1. .0122041
2. .0129412
3. .015625
4. .0291306

Short answer questions

19)& 20) Consider the probability distribution shown here.

19)Find μ = E(x)

20) Find σ.

21) Find the area under the standard normal curve between the following pairs of z-scores.

z = 0 and z = 2.00

z = 0 and z = 0.58

22) For a given population, the mean is 50, the standard deviation is 16. For the point of 34, what is the z-score. Hint: Use z score formula:

23) Suppose a random sample of n measurements is selected from a population with mean = 100 and variance = 100 . Given n, determine the mean and standard deviation of the sampling distribution of the sample mean. n = 4

Hint: calculate the standard deviation to help you.

24)What is the z α/2 for the α = 0.05. Hint: It is between 0 and 3

25) It is desired to estimate the time it takes Statistics I students to finish a computer project to within 2 hours at 95% reliability. It is estimated that the standard deviation of the times is 14 hours. How large a sample should be taken to get the desired interval? Hint: Think about margin of error.

26) What is the formula for a z –score with n=1?

27) For the tossing of a fair coin 100 times what is the B or bound of a confidence interval for 95%.

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