For problems 1 - 4 determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate

1.The number of errors made when a Best Buy store scans 8000 different purchases

A. Nominal

B. Ordinal

C. Interval

D. Ratio

2. The years in which new editions of the book were published

A. Nominal

B. Ordinal

C. Interval

D. Ratio

3. Consumer Reports magazine ratings of "best buy, recommended, not

recommended"

A. Nominal

B. Ordinal

C. Interval

D. Ratio

4. Distances traveled by students who commute to college

A. Nominal

B. Ordinal

C. Interval

D. Ratio

For problems 5 - 7 determine whether the group is a sample or a population.

5. A small group of students from the class is selected, and the average (mean) age is 30.7 years.

A. Sample

B. Population

6. All the state governors are surveyed, and 22 of them are found to be Republicans.

A. Sample

B. Population

7. Several packets of Splenda are randomly selected, and the average (mean) weight of the contents is 2,345 grams.

A. Sample

B. Population

9. Identify the type of sampling (simple random sample, systematic, convenience,

stratified, cluster) used when a sample of the 232,000 Jones Soda shareholders is

obtained as described.

A. A complete list of all stockholders is compiled, and every 500th name is selected.

B. At the annual stockholders' meeting, a survey is conducted of all who attend.

C. Fifty different stockholders are randomly selected, and a survey is made of all

their clients who own shares of Jones Soda.

D. A computer file of all stockholders is compiled so that they are all numbered

consecutively, then random numbers generated by computer are used to select the sample

of stockholders.

E. All of the stockholders' zip codes are collected, and five stockholders are

randomly selected from each zip code.

10. The National Center for Health Statistics reported that of every 883 deaths in recent years, 24

resulted from an automobile accident, 182 from cancer and 333 from heart disease. What is the

probability that a particular death is due to an automobile accident?

A. 24/883 or 0.027

B. 539/883 or 0.610

C. 24/333 or 0.072

D. 182/883 or 0.206

11. What does the complement rule state?

A.P(A')=P(A)-P(B)

B.P(A)=1-P(A')

C.P(A')= P(A)*P(B)

D.P(A')=P(A)+P(B)

12. The first card selected from a standard 52-card deck was a king. If it is returned to the deck,

what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13 or 0.077

C. 12/13 or 0.923

D. 1/3 or 0.33

13. What doesequal?

A. 640

B. 36

C. 10

D. 120

14. If the variance is 3.6 grams, what is the standard deviation?

A. 0.6

B. 1.897

C. 6.0

D. 12.96

15. Which of the following is correct about a probability distribution?

A. Sum of all possible outcomes must equal 1

B. Outcomes must be mutually exclusive

C. Probability of each outcome must be between 0 and 1 inclusive

D. All of the above

16. A study of 200 computer service companies revealed these incomes after taxes:

Income After Taxes / Number of companies

Under 1,000,000/ 102

1,000,000 - 20,000,000/ 61

20,000,000+/ 37

What is the probability that a particular company selected has $1 million or more in income after

taxes?

A. 0.00

B. 0.25

C. 0.49

D. 0.51

17. For the following probability distribution,

X /P(x)

10 / .2

11 / .2

12 / .2

13 / .2

14 / .2

the mean is

A. 12

B. 0.2

C. 0

D. 10

18. The following is a binomial probability distribution with n = 3 and ? = 0.20.

X / P(x)

0 / 0.512

1 / 0.384

2 / 0.096

3 / 0.008

The variance of the distribution is (Hint) ?²= ? [(x - )². P(x)] = ? [(x²P(x)]- ²= n?(1-?)

A. 1.5

B. 3.0

C. 0.69

D. 0.48

19. There are 8 flights from Minneapolis to St. Cloud each day. The probability that any one

flight is late is 0.10. Using the binomial probability formula, what is the probability that exactly

1 flight is late?

Hint: :P(X =x) = _nC_x?^x (1-?)^n-x=?^x (1-?)^n-x

A. 0.048

B. 0.383

C. 0.00000072

D. 0.627

20. Chances are 50-50 that a newborn baby will be a girl. For families with five children, what is

the probability that all the children are girls?

A. 0.900

B. 0.031

C. 0.001

D. 0.250

21. The mean of a normal probability distribution is 500 and the standard deviation is 10. About

95 percent of the observations lie between what two values?(Hint: Use the Empirical Rule)

A. 475 and 525

B. 480 and 520

C. 400 and 600

D. 350 and 650

22. For the normal distribution, the mean plus and minus 1.96 standard deviations will include

about what percent of the observations?

A. 50%

B. 99.7%

C. 95%

D. 68%

23. The weight of cans of fruit is normally distributed with a mean of 1,000 grams and a standard

deviation of 50 grams. What percent of the cans weigh 860 grams or less?

A. 0.0100

B. 0.8400

C. 0.0026

D. 0.0001

24. Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation

of 4,000 miles. What is the probability that a tire lasts between 54,000 and 66,000 miles?

A. 0.4332

B. 0.8664

C. 1.00

D. Very likely

25. Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation

of 4,000 miles. You bought four tires. What is the probability that the average mileage of the four tires exceeds 66,000 miles?

A. 0.0013

B. 0.9987

C. 0.4987

D. 0.9544

A better representation of the questions will be in the following attachment

For problems 1 - 4 determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate The number of errors made when a Best Buy store scans 8000 different purchases A. Nominal B. Ordinal C. Interval D. Ratio 2. The years in which new editions of the book were published A. Nominal B. Ordinal C. Interval D. Ratio 3. Consumer Reports magazine ratings of \"best buy, recommended, not recommended\" A. Nominal B. Ordinal C. Interval D. Ratio 4. Distances traveled by students who commute to college A. Nominal B. Ordinal C. Interval D. Ratio For problems 5 - 7 determine whether the group is a sample or a population. 5. A small group of students from the class is selected, and the average (mean) age is 30.7 years. A. Sample B. Population 6. All the state governors are surveyed, and 22 of them are found to be Republicans. A. Sample B. Population 7. Several packets of Splenda are randomly selected, and the average (mean) weight of the contents is 2,345 grams. A. Sample B. Population 8. Find the correspondence between three characteristics of the center (mean, median, mode) and their advantages/disadvantages. a) Mean b) Median c) Mode A. Often a good choice if there are some extreme values and outliers. B. Appropriate for some categorical data. For some sets of data it could be absent. C. Works well with many statistical methods, especially for data without outliers 9. Identify the type of sampling (simple random sample, systematic, convenience, stratified, cluster) used when a sample of the 232,000 Jones Soda shareholders is obtained as described. 9A. A complete list of all stockholders is compiled, and every 500th name is selected. 9B. At the annual stockholders' meeting, a survey is conducted of all who attend. 9C. Fifty different stockholders are randomly selected, and a survey is made of all their clients who own shares of Jones Soda. 9D. A computer file of all stockholders is compiled so that they are all numbered consecutively, then random numbers generated by computer are used to select the sample of stockholders. 9E. All of the stockholders' zip codes are collected, and five stockholders are randomly selected from each zip code. 10. The National Center for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile accident, 182 from cancer and 333 from heart disease. What is the probability that a particular death is due to an automobile accident? A. 24/883 or 0.027 B. 539/883 or 0.610 C. 24/333 or 0.072 D. 182/883 or 0.206 11. What does the complement rule state? A. B. C. D. P(A')=P(A)-P(B) P(A)=1-P(A') P(A')= P(A)*P(B) P(A')=P(A)+P(B) 12. The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection? A. 1/4 or 0.25 B. 1/13 or 0.077 C. 12/13 or 0.923 D. 1/3 or 0.33 6!2! 13. What does 4!3! equal? A. 640 B. 36 C. 10 D. 120 14. If the variance is 3.6 grams, what is the standard deviation? A. 0.6 B. 1.897 C. 6.0 D. 12.96 15. Which of the following is correct about a probability distribution? A. Sum of all possible outcomes must equal 1 B. Outcomes must be mutually exclusive C. Probability of each outcome must be between 0 and 1 inclusive D. All of the above 16. A study of 200 computer service companies revealed these incomes after taxes: Income After Taxes Under 1,000,000 1,000,000 - 20,000,000 20,000,000+ Number of companies 102 61 37 What is the probability that a particular company selected has $1 million or more in income after taxes? A. 0.00 B. 0.25 C. 0.49 D. 0.51 17. For the following probability distribution, X P(x ) .2 .2 .2 .2 .2 10 11 12 13 14 the mean is A. 12 B. 0.2 C. 0 D. 10 18. The following is a binomial probability distribution with n = 3 and = 0.20. X 0 1 2 3 P(x) 0.51 2 0.38 4 0.09 6 0.00 8 The variance of the distribution is (Hint 2 ( x )2 P( x) x 2 P( x) 2 n (1 ) A. 1.5 B. 3.0 C. 0.69 D. 0.48 2 = [(x - )2 . P(x)] = [(x2P(x)]- 2= n(1-) ) 19. There are 8 flights from Minneapolis to St. Cloud each day. The probability that any one flight is late is 0.10. Using the binomial probability formula, what is the probability that exactly 1 flight is late? Hint: P(X =x) = nCxx (1-)n-x= n! x (1-)n-x x ! ( nx ) ! A. 0.048 B. 0.383 C. 0.00000072 D. 0.627 20. Chances are 50-50 that a newborn baby will be a girl. For families with five children, what is the probability that all the children are girls? A. 0.900 B. 0.031 C. 0.001 D. 0.250 21. The mean of a normal probability distribution is 500 and the standard deviation is 10. About 95 percent of the observations lie between what two values? (Hint: Use the Empirical Rule) A. 475 and 525 B. 480 and 520 C. 400 and 600 D. 350 and 650 22. For the normal distribution, the mean plus and minus 1.96 standard deviations will include about what percent of the observations? A. 50% B. 99.7% C. 95% D. 68% 23. The weight of cans of fruit is normally distributed with a mean of 1,000 grams and a standard deviation of 50 grams. What percent of the cans weigh 860 grams or less? A. 0.0100 B. 0.8400 C. 0.0026 D. 0.0001 24. Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. What is the probability that a tire lasts between 54,000 and 66,000 miles? A. 0.4332 B. 0.8664 C. 1.00 D. Very likely 25. Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. You bought four tires. What is the probability that the average mileage of the four tires exceeds 66,000 miles? A. 0.0013 B. 0.9987 C. 0.4987 D. 0.9544 ( X ) , X . n