Determine whether the given value is a statistic or a parameter.

1) A researcher examines the records of all the registered voters in one city and finds that

61% are registered Republicans.

A)Parameter

B) Statistic

C) Population

D) Variable

Find the indicated percentile.

2) The weights (in pounds) of 30 newborn babies are listed below. Find 46th percentile.

5.5 5.7 5.8 5.9 6.1 6.1 6.4 6.4 6.5 6.6

6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2

7.4 7.5 7.7 77 78 80 81 8.1 8.3 8.7

A) 13.8

B) 6.9

C) 6.4

D) 6.6

Find the median for the given sample data.

3) 1.6 2.6 3.0 1.1 1 3 3.7 1 9 35 23 2.8 1.9

A) 2.40

B) 2.30

C) 2.3

D) 1.9

Calculate sample variance.

4) Calculate sample variance of SAT test results with following scores:

1240, 1462, 982, 790, 1148, 1296. Round your answer to the nearest integer.

A) 56907

B) 239

C) 47422

D) 218

Find standard deviation.

5) Find standard deviation for sample of test scores from a Biology class with following data:

78, 64, 82, 91, 68, 71, 86, 60. State your answer to one decimal place.

A) 105.8

B) 11.0

C) 10.3

D) 120.9

Find z-score.

6) Scores on a history test have an average of 80 with standard deviation of 6. What is the

z-score for a student who earned a 75 on the test? State your answer to two decimal

place.

A) -1.83

B 1.83

C) 0.83

D) -0.83

Find the area under the standard normal curve.

7) Find the area under the standard normal curve to the right of z = 0.94. State your answer

to four decimal places.

A) -0.1736

B) 0.1736

C) -0.8264

D) 0.8264

Find the indicated probability.

8) If you pick a card at random from a well shuffled deck, what is the probability that you get a heart or a 5?

A) 17/52

B) 9/26

C) 4/13

D) 11/26

9) The table below describes the smoking habits of a group of asthma sufferers.

Nonsmoker/ Occasional Smoker/ Regular Smoker/ Heavy Smoker :Total

Men: 328/ 45/ 64/ 33/ 470

Women: 401/ 35/ 61/ 34/ 531

Total: 729/ 80/ 125/ 67/ 1001

If one of the 1001 people is randomly selected, find the probability that the person is a man or a heavy smoker.

A) 0.471

B) 0.536

C) 0.503

D) 0.493

10) A manufacturing process has a 70% Yield, meaning that 70% of the products are

acceptable and 30% are defective. If three of the products are randomly selected, find

the probability that all of them are acceptable.

A) 0.429

B) 0.343

C) 2.1

D) 0.027

Determine whether the given procedure results in a binomial distribution. If not, state the reason why.

11) Rolling a single die 63 times, keeping track of the "fives" rolled

A) Not binomial: there are too many trials.

B) Not binomial: there are more than two outcomes for each trial.

C) Procedure results in a binomial distribution.

D) Not binomial: the trials are not independent.

Find the indicated probability.

12) An IRS auditor randomly selects 3 tax returns from 42 returns of which 14 contain errors.

What is the probability that she selects none of those containing errors?

A) 0.2854

B) 0.2963

C) 0.0317

D) 0.037

13) What is the probability that 6 rolls of a fair die will show exactly two fours?

A) 0.0294

B) 0.0331

C) 0.0186

D) 0.0335

Assume that X has a normal distribution, and find the indicated probability.

14) The mean is u = 40.0 and the standard deviation o = 12.0.

Find P(X < 54.0).

A) 0.3409

B) 0.8790

C) 0.4247

D) 0.6443

Find point estimate.

15) A sample of 6 sheets of cardstock is randomly selected and the following thickness are measured in millimeters. Give a point estimate for the population standard deviation. Round your answer to three decimal places.

2.40, 2.41, 2.35. 2.33, 2.34, 2.29

A) 0.045

B) 0.022

C) 2.353

D) 2.824

Find the indicated probability.

16) in a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students

are selected at random from the physics majors, that is the probability that no more than

6 belong to an ethnic minority?

A) 0.0547

B) 0.913

D) 0.9846

C) 0.9815

Solve the problem.

17 The weights of the fish in a certain lake are normally distributed with a mean of 20 lb and

a standard deviation of 12. If 16 fish are randomly selected, what is the probability that

the mean weight will be between 17.6 and 23.6 Ib?

A) 0.0968

B) 0.6730

C) 0.4032

D) 0.3270

Answer the question.

18) A direct mail company wishes to estimate the proportion of people on a large mailing list that will purchase a product. Suppose the true proportion is 0.06. If 373 are sampled, what is the probability that the sample proportion will differ from the population proportion by more than 0.03? Round your answer to four decimal places.

A) 0.9854

B) 0.0918

C) 0.9082

D) 0.0146

19) Using traditional methods, it takes 9.5 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAl) has been proposed. A researcher used the technique with 13 students and observed that they had a mean of 9.4 hours with a standard deviation of variance of 3.24. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. State the null and alternative hypotheses.

A) H0 : u = 9.5, Ha : u not equal 9.5

B) H0 : u = 9.1, Ha : u not equal 9.1

C) H0 : u = 8.9, Ha : u not equal 8.9

D) H0: u = 8.2, Ha : u not equal 8.2

Find the value of the chi-square test statistic for the goodness-of-fit test.

20) You wish to test the claim that workplace accidents are distributed on workdays as follows: Monday: 25%, Tuesday: 15%, Wednesday: 15%, Thursday: 15%, Friday: 30%. In a study of 100 workplace accidents, 26 occurred on a Monday, 16 occurred on a Tuesday, 13 occurred on a Wednesday, 16 occurred on a Thursday, and 29 occurred on a Friday. What is the value of the x2 test statistic? The observed frequencies and the expected frequencies are shown below.

Observed Frequency (O) : 26, 16, 13, 16, 29

Expected Frequency (E) : 25, 15, 15, 15, 30

A) X2 = 0.506

B) X2 = 2.667

C) X2 = 0.473

D) X2 = 1.143

Solve the problem and state your answer or circle your answer as required.

21) Consider two independent random samples with the following results:

n1 = 561 n2 = 642

p1 = 0.38 p2 = 0.26

Use this data to find the 98% confidence interval for the true difference between the population proportions.

Step 1: Find the point estimate that should be used in constructing the confidence interval.

Answer:

Step 2: Find the margin of error. Round your answer to six decimal places.

Answer:

Step 3: Construct the 98% confidence interval. Round your answers to three decimal places.

Left endpoint: ____ Right endpoint: ____

Solve the problem and state your answer or circle your answer as required.

22) The dosage of a drug in a particular tablet needs to be precise. It is essential that the tablets contain 51.82 mg of the active ingredient with a variance of 0.02. A random sample of 25 tablets finds that the variance of the active ingredient is 0.0136. Does the data suggest at a = 0.01 that the variance of the drug in the tablets is less than the desired amount? Assume the population is normally distributed.

Step 1: State the null and alternative hypotheses. Round to four decimal places when

necessary.

Answer: H0 ___ Ha___

Step 2: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.

Answer:

Step 3: Determine the value of the test statistic. Round your answer to three decimal places.

Answer:

Step 4: Make the decision

A) Reject Null Hypothesis

B) Do not reject Null Hypothesis

Step 5: What is the conclusion?

A) There is sufficient evidence to show that the amount of active ingredient has a variance that is less than the desired amount.

B) There is not sufficient evidence to show that the amount of active ingredient has a variance that is less than the desired amount.

Solve the problem and state your answer or circle your answer as required.

23) Give two independent random samples with the following results:

n1 = 8, n2 = 11

x1 = 126, x2 = 93

s1 = 15, s2 = 31

Use this data to find a 99% confidence interval for the true difference between the population means. Assume that population variances are not equal and that the two populations are normally distributed.

Step 1: Find the point estimate that should be used in finding the margin of error.

Answer:

Step 2: Find the margin of error to be used in constructing a 99% confidence interval. Round your answer to six decimal places.

Answer: