AP-STAT(sem 1)

AP-STAT(sem 1)

Hosted by Mrs. DobbsHosted by Mrs. Dobbs© Don Link, Indian Creek School, 2004

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DESCRIBINGDISTRIBUTIONS

NORMAL DISTRIBUTIONS

REGRESSIONGATHERING

DATAPROBABILITY

Which of the following are true statements? I. Stemplots are useful for quantitative & categorical data sets. II. Stemplots are equally useful for small and very large data sets. III. Stemplots can show symmetry, gaps, clusters, and outliers.

A. I only B. II only C. III only D. I and II E. I and III

C

Describing Distributions for $100

The scores on a national exam have an average of 500 with a SD of 100. Suppose the scores are transformed to a new scale: x* = 1.1(20 + x). What are the new mean and SD?

A.μ = 570, σ = 100 B. μ = 570, σ = 110 C. μ = 572, σ = 100 D. μ = 572, σ = 110E. μ = 572, σ = 132

D

Describing Distributions for $200

If ten executives have salaries of $80,000, sixhave salaries of $75,000 and three have salaries of $70,000. What is the mediansalary?

A.$75,000 B. $76, 842 C. 77,500D. $80,000 E. None of these

Describing Distributions for $300

D

A reporter wishes to portray baseball players overpaid. Which measure of center should hereport?

A. the mean B. the medianC.either mean or median, the will be equalD.neither mean nor median; both will be much lower than the actual average salary

A

Describing Distributions for $400

The standard deviation of 16 measurementsof people’s weights is computed to be 5.4 lbs.The variance of these measurements is:

A. 2.24 B. 29.16 C. 52.34 D. 256

B

Describing Distributions for $500

A normal density curve has which of the following properties?

A. It is symmetricB. It has a peak centered above its meanC.The area under the curve = 1D.All of the above.

DNormal Distributions for $100

Using the standard normal distribution, whatis the area under the curve correspondingto Z < 1.1?

A.0.1357 B. 0.2704 C. 0.8413 D. 0.8643

D

Normal Distributions for $200

The temperature at any random location in a kiln used in the manufacture of bricks is normally distributed: mean = 1000o and sd = 50o . Bricks fired above 1125o will crack. What proportion of bricks will crack?

A. .0062 B. .0228 C. .4772 D. .4938

A

Normal Distributions for $300

The time to complete an exam is approx.Normal: mean = 70 min, sd = 10 min.How much time should be given to completethe exam so that 80% of the students willcomplete the exam in the time given?

A.79.8 min B. 78.4 minC. 84 min D. 9.28 min

B

Normal Distributions for $400

A soda machine can be regulated so thatit discharges an average of μ ounces per cup.If the ounces of fill are normally distributedwith a sd = 0.4 oz., at what value should μ beset so that 6 oz. cups will overflow only 2%of the time?A. 6.82 B. 6.00 C. 5.60 D. 5.18

D

Normal Distributions for $500

A correlation coefficient can be calculated forwhich of the following relationships? I. height & weight II. SAT score & genderIII. GPA & hours spent studying

A. I and II B. I and IIIC. II and III D. I, II, and III

B

Regression for $100

What is the strongest indicator that a linearmodel is appropriate for a set of data?

A.a high rB. residuals with a patternC.scattered residuals that are small relative to the dataD. the number of data points on the LSRL

C

Regression for $200

Which of the following are true statementsabout the correlation coefficient r? I. It is not affected by changes in the units of the variables. II. It is not affected by which variable is called x and which is called y.III. It is not affected by extreme values.

A. I and II B. I and III C. II and III D. I, II, and III

A

Regression for $300

When exploring very large sets of data involving many variables, which of the following is true?

A. Extrapolation is safe because it is based on a greater quantity of evidence.B. Associations will be stronger than would be seen in a much smaller subset of the data.C. A strong association is good evidence for causation because it is based on a large quantity of information.D. None of the above.

D

Regression for $400

Which of the following is true of the LSRL?

A.The slope is the change in the response variable that would be predicted by a unit change in the explanatory variable.B. It always passes through the point ( )C. It will only pass through all the data points if r = ± 1.D. All of the above.

D

Regression for $500

yx,

A group of college students believe that herbal tea has remarkable restorative powers. To test their theory they makeweekly visits to a local nursing home, visiting with residentsand serving them herbal tea. After several months, many of the residents are more cheerful and healthy.

The explanatory variable is:

A. the emotional state of the residentsB. herbal teaC. the fact that this is a local nursing home.D. the college students

B

Gathering Data for $100

A stratified random sample corresponds towhich of the following experimental designs?

A. a block designB. a double-blind experimentC. an experiment with a placeboD. a completely randomized design

A

Gathering Data for $200

Which of the following is not a requirement for anexperiment?

A. controlB. randomizing subjects to treatmentsC. random selection of subjectsD. replicationE. all are requirements

C

Gathering Data for $300

In a high school, a survey is conducted by randomly selecting 12 English classes and giving the survey to all students in those classes. What is this type of sampling method?

A. Cluster SamplingB. Simple Random SamplingC. Stratified Random SamplingD. Block SamplingE. Systematic Sampling

A

Gathering Data for $400

A basketball player makes 2/3 of his free throws. To simulatea single free throw, which of the following assignments ofdigits to making a free throw are appropriate?

A. 0 and 1 correspond to a make and 2 corresponds to miss.B. 01, 02, 03, 04, 05, 06, 07, and 08 = make 09, 10, 11, 12 = missC. both A and B are correctD. neither A nor B are correct.

C

Gathering Data for $500

Suppose we roll a red die and a green die. Let A = red shows a 3 or less and B = green shows more than 3. The events A and B are:

A. disjoint B. complementsC. independent D. reciprocals

C

Probability for $100

Suppose P(A) = 0.2 and P(B) = 0.8. If A and Bare disjoint, then:

A.P(A and B) = 0.16 B. P(A or B) = 1.0C. P(A and B) = 1.0 D. P(A or B) = 0.16

BProbability for $200

Suppose P(A) = 0.3 and P(B) = 0.4. If A and Bare independent, we may conclude:

A. P(A and B) = 0.12 B. P(A|B) = 0.3C. P(B|A) = 0.4 D. all of the above

DProbability for $300

Suppose X and Y are random variables withμx = 38 and σx = 12, μy = 35, and σy = 9. Given that X and Y are independent, what isthe standard deviation of X – Y?

A. B. C. D.

B

Probability for $400

2121 15 3

The probability of an adult having a raredisease is .001. Since the test is not perfect, the probability the test will be positive is .99for a person with the disease and .02 for a person without the disease. What is the probability that a randomly selected persontests positive?A. .00099 B. .01998 C. .02097 D. .02100

CProbability for $500