AP Statistics - 2014

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- Question 130 secondsQ.
Heights, in inches, for the 200 graduating seniors from Washington High School are summarized in the frequency table. Which of the following statements about the median height is true?

answer choices - Question 230 secondsQ.
Professor James gave the same test to his three sections of statistics students. On the 35-question test, the highest score was 32 and the lowest was 15. Based on the information displayed in the boxplots above, which of the following statements is true?

answer choices - Question 330 secondsQ.
A well-designed experiment should have which of the following characteristics?

I. Subjects assigned randomly to treatments

II. A control group or at least two treatment groups

III. Replication

answer choices - Question 430 secondsQ.
The distribution of colors of candies in a bag is as follows. If two candies are randomly drawn from the bag with replacement, what is the probability that they are the same color?

answer choices - Question 530 secondsQ.
Each of 133 children in a sample was asked to choose a pencil. Three different colors were available: yellow, red, and blue. The number of 2-year olds and 3-year olds who selected each color is shown in the table above. In a test of independence of age and color, which of the following is used as the expected cell count for 2-year olds who select a yellow pencil?

answer choices - Question 630 secondsQ.
Approximately 52 percent of all recent births were boys. In a simple random sample of 100 recent births, 49 were boys and 51 were girls. The most likely explanation for the difference between the observed results and the expected results in this case is

answer choices - Question 730 secondsQ.
Each person in a random sample of adults was asked how many DVDs he or she owned. Summary statistics are given below. Which of the following statements is true?

answer choices - Question 830 secondsQ.
For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem. If one flight is selected at random from the airport in January, what is the probability that the flight selected will have at least one of the two types of delays?

answer choices - Question 930 secondsQ.
A survey was administered to parents of high school students in a certain state to see if the parents thought the students’ academic needs were being met. To select the sample, the parents were divided into two groups— one group of parents who live in cities with populations of more than 100,000 and the other group of parents who live in cities with populations less than or equal to 100,000. A random sample of 100 parents from each group was taken. Which of the following statements about the sample of 200 parents is true?

answer choices - Question 1030 secondsQ.
A popular computer card game keeps track of the number of games played and the number of games won on that computer. The cards are shuffled before each game, so the outcome of the game is independent from one game to the next and is based on the skill of the player. Let

*X*represent the number of games that have been won out of 100 games. Under which of the following situations would*X*be a binomial random variable?answer choices - Question 1130 secondsQ.
A carnival game allows the player a choice of simultaneously rolling two, four, six, eight, or ten fair dice. Each die has six faces numbered 1 through 6, respectively. After the player rolls the dice, the numbers that appear on the faces that land up are recorded. The player wins if the greatest number recorded is 1 or 2. How many dice should the player choose to roll to maximize the chance of winning?

answer choices - Question 1230 secondsQ.
A school is having a contest in which students guess the number of candies in a jar. The student whose guess is closest to the correct number of candies in the jar wins a prize. The number of candies guessed by male and female students is shown in the back-to-back stemplot. Which of the following is true about the distribution of guesses?

answer choices - Question 1330 secondsQ.
The manager of a car company will select a random sample of its customers to create a 90 percent confidence interval to estimate the proportion of its customers who have children. Of the following, which is the smallest sample size that will result in a margin of error of no more than 6 percentage points?

answer choices - Question 1430 secondsQ.
Which of the following statements

__must__be true about the data sets A and B displayed in the histograms?answer choices - Question 1530 secondsQ.
A box contains 10 tags, numbered 1 through 10, with a different number on each tag. A second box contains 8 tags, numbered 20 through 27, with a different number on each tag. One tag is drawn at random from each box. What is the expected value of the sum of the numbers on the two selected tags?

answer choices - Question 1630 secondsQ.
A pollster is interested in comparing the proportions of women and men in a particular town who are in favor

of a ban on fireworks within town borders. The pollster plans to test the hypothesis that the proportion of women in favor of the ban is different from the proportion of men in favor of the ban. There are 4,673 women and

4,502 men who live in the town. From a simple random sample of 40 women in the town, the pollster finds that 38 favor the ban. From an independent simple random sample of 50 men in the town, the pollster finds that

27 favor the ban. Which of the following statements is true about this situation?

answer choices - Question 1730 secondsQ.
Employees at a large company can earn monthly bonuses. The distribution of monthly bonuses earned by all employees last year has mean 2.3 and standard deviation 1.3. Let

*z*represent the standard normal distribution. If*x-bar*represents the mean number of monthly bonuses earned last year for a random sample of 40 employees, which of the following calculations will give the approximate probability that*x-bar*is less than 2 ?answer choices - Question 1830 secondsQ.
The

*p*-value for a one-sided*t*-test is 0.10. If the test had been two-sided, what would the*p*-value have been?answer choices - Question 1930 secondsQ.
A scatterplot of student height, in inches, versus corresponding arm span length, in inches, is shown below. One of the points in the graph is labeled

*A*. If the point labeled*A*is removed, which of the following statements would be true?answer choices - Question 2030 secondsQ.
Let

*X*be a random variable whose values are the number of dots that appear on the uppermost face when a fair die is rolled. The possible values of*X*are 1, 2, 3, 4, 5, and 6. The mean of*X*is 7/2 and the variance of*X*is 35/12. Let*Y*be the random variable whose value is the difference (first minus second) between the number of dots thatappear on the uppermost face for the first and second rolls of a fair die that is rolled twice. What is the standard deviation of

*Y*?answer choices - Question 2130 secondsQ.
In a recent poll of 1,500 randomly selected eligible voters, only 525 (35 percent) said that they did not vote in the last election. However, a vote count showed that 80 percent of eligible voters actually did not vote in the last election. Which of the following types of bias is most likely to have occurred in the poll?

answer choices - Question 2230 secondsQ.
A distribution of scores is approximately normal with a mean of 78 and a standard deviation of 8.6. Which of the following equations can be used to find the score

*x*above which 33 percent of the scores fall?answer choices - Question 2330 secondsQ.
A random sample of 300 students is selected from a large group of students who use a computer-equipped classroom on a regular basis. Occasionally, students leave their USB drive in a computer. Of the 300 students questioned, 180 said that they write their name on their USB drive. Which of the following is a 98 percent confidence interval for the proportion of all students using the classroom who write their name on their

USB drive?

answer choices - Question 2430 secondsQ.
In a large set of data that are approximately normally distributed,

*r*is the value in the data set that has a*z*-score of -1.00,*s*is the value of the first quartile, and*t*is the value of the 20th percentile.Which of the following is the correct order from least to greatest for the values of

*r*,*s*, and*t*?answer choices - Question 2530 secondsQ.
A researcher constructed a 95 percent confidence interval for the mean number of alfalfa weevils on an alfalfa plant within a field. Based on 80 randomly selected alfalfa plants, the researcher found an average of 2.5 alfalfa weevils per plant and computed the 95 percent confidence interval to be 1.50 to 3.50. Which of the following statements is a correct interpretation of the 95 percent confidence level?

answer choices - Question 2630 secondsQ.
Which of the following histograms could have been constructed from the same set of data summarized by the boxplot?

answer choices - Question 2730 secondsQ.
An amateur men’s swimming association is trying to decide whether times in the 100-meter breaststroke will be reduced if the men shave their heads. From the population of swimmers, six were selected at random and agreed to swim two races — one before shaving their heads and one after shaving their heads. The results for each race, with times in seconds, are given in the table. Let μ

_{1}represent the population mean of swimming times before shaving and μ_{2}represent the population mean of swimming times after shaving. Let*μ*_{d}*X*_{1}-*X*_{2}. These differences follow a normal distribution. Which of the following would be the most appropriate test and alternative hypothesis to use in testing this theory?answer choices - Question 2830 secondsQ.
A newspaper poll found that 52 percent of the respondents in a large random sample of likely voters in a district intend to vote for candidate Smith rather than the opponent. A 95 percent confidence interval for the population proportion was computed to be 0.52 ± 0.04. Based on the confidence interval, which of the following should the newspaper report to its readers?

answer choices - Question 2930 secondsQ.
Mating eagle pairs typically have two baby eagles (called eaglets). When there are two eaglets, the parents always feed the older eaglet until it has had its fill, and then they feed the younger eaglet. This results in an unequal chance of survival for the two eaglets. Suppose that the older eaglet has a 50 percent chance of survival. If the older eaglet survives, the younger eaglet has a 10 percent chance of survival. If the older eaglet does not survive, the younger eaglet has a 30 percent chance of survival. Let

*X*be the number of eaglets that survive. Which of the following tables shows the probability distribution of*X*?answer choices - Question 3030 secondsQ.
A statistics teacher wants to determine whether there is a linear relationship between high school students’ heights, in inches (in), and the lengths of their feet, in centimeters (cm). The teacher obtains height and foot-length measurements for a random sample of 23 students at the high school and generates the following graph and computer output. Provided that the assumptions for regression inference are satisfied, which of the following provides a 95 percent confidence interval estimate of the slope of the population regression line for predicting foot length from height?

answer choices - Question 3130 secondsQ.
Each value in a sample has been transformed by multiplying by 3 and then adding 10. If the original sample had a variance of 4, what is the variance of the transformed sample?

answer choices - Question 3230 secondsQ.
A controversial issue in the sport of professional soccer is the use of instant replay for making difficult goal line decisions. Each person in a representative sample of 102 players, fans, coaches, and officials was asked his or her opinion about the use of instant replay for goal-line decisions. The data are summarized in the two-way frequency table. In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a

*p*-value less than 0.001 were calculated. Which of the following statements is correct?answer choices - Question 3330 secondsQ.
A large clinical trial was designed to determine whether a certain vitamin improves the general health of adults. The investigators first identified 85 variables that measure various aspects of the general health of adults. Because each adult in the clinical trial was to serve as his or her own control, the 85 variables were measured for each adult, both before taking the vitamin and after taking the vitamin for three months. The investigators then performed 85 matched-pair

*t*-tests, one for each variable. They found statistically significant results at the 0.05 level in 2 of the variables, both in the direction of improved general health. Which of the following should the investigators conclude?answer choices - Question 3430 secondsQ.
A sample of 942 homeowners are classified, in the two-way frequency table below, by the number of credit cards they have and the number of years they have owned their current homes. Of the homeowners in the sample who have four or more credit cards, what proportion have owned their current homes for

__at least__one year?answer choices - Question 3530 secondsQ.
Administrators at a state university computed the mean GPA (grade point average) for juniors and seniors majoring in either physics or chemistry. The results are displayed in the table below. When juniors and seniors are grouped together, could physics majors have a higher mean GPA than chemistry majors?

answer choices - Question 3630 secondsQ.
A department store manager wants to know if a greater proportion of customers on the store’s mailing list would redeem a coupon for $5 off the price of an item than would redeem a coupon for 10 percent off the price of an item. The manager mails a $5 off coupon to a random sample of 500 customers and mails a 10 percent off coupon to an independent random sample of 500 customers. The number of coupons of each type that were redeemed was recorded. Assuming that the conditions for inference are met, what test procedure should be used to answer the manager’s question?

answer choices - Question 3730 secondsQ.
A one-sided hypothesis test is to be performed with a significance level of 0.05. Suppose that the null hypothesis is false. If a significance level of 0.01 were to be used instead of a significance level of 0.05, which of the following would be true?

answer choices - Question 3830 secondsQ.
Which of the following distinguishes an observational study from a randomized experiment?

answer choices - Question 3930 secondsQ.
Frank, who lives in Texas, and his sister Lilly, who lives in Japan, correspond regularly. From what he can tell from the postmarks on both his and his sister’s letters, it appears that it takes longer for Lilly’s mail from Japan to reach him in Texas than it does for his letters from Texas to reach her in Japan. When Frank called his post office to ask if there was a reason for this, the postmaster told him that the delivery time of letters in both directions should be the same. Frank and his sister decided to collect data to see if letters from Japan to Texas take longer to be delivered than letters from Texas to Japan. They recorded the delivery time in days. After convincing themselves that the assumptions were reasonable, they performed a two-sample

*t*-test and obtained the following computer output. Using a significance level of 0.05, which of the following statements best describes the conclusion that can be drawn from these data?answer choices - Question 4030 secondsQ.
In a national study on transportation patterns, 1,000 randomly selected adults will be asked the question: How

many trips per week do you make to the grocery store? The sample mean will be computed. Let μ denote the population mean response to the question if everyone in the population is to be asked the question. Is the sample

mean

*x-bar*unbiased for estimating μ ?answer choices

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