MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 MATH 4 TEST REVIEW Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. ) A radio station claims that the amount of advertising each hour has a mean of 6 minutes and a standard deviation of.7 minutes. You listen to the radio station for hour and observe that the amount of advertising time is 0 minutes. Calculate the z-score for this amount of advertising time. z =.48 z =.08 z = -.48 z = 0.8 ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. ) The following data represent the scores of 50 students on a statistics exam. The mean score is 80.0, and the standard deviation is.9. ) Find the z-scores for the highest and lowest exam scores. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 0 miles per hour (mph) and the standard deviation of the serve speeds was 5 mph. If nothing is known about the shape of the distribution, give an interval that will contain the speeds of at least three-fourths of the player's serves. 87 mph to 7 mph 57 mph to 47 mph 7 mph to mph mph to 6 mph ) 4) A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a -bedroom house using gas or electric energy had a mean of $99 and a standard deviation of $4. If nothing is known about the shape of the distribution, what percentage of homes will have a monthly utility bill of less than $7? at most 5% at least 88.9% at most.% at least 75% 4) 5) If nothing is known about the shape of a distribution, what percentage of the observations fall within standard deviations of the mean? approximately 99.7% at most % approximately 0.% at least 89% 5)

2 6) The test scores of 0 students are listed below. Which number could be the 0th percentile? 6) Answer the question True or False. 7) The mean of a data set is at the 50th percentile. 7) True False Solve the problem. 8) When Scholastic Achievement Test scores (SATs) are sent to test-takers, the percentiles associated with scores are also given. Suppose a test-taker scored at the 77th percentile on the verbal part of the test and at the 8th percentile on the quantitative part. Interpret these results. This student performed better than % of the other test-takers on the verbal part and better than 6% on the quantitative part. This student performed better than % of the other test-takers on the verbal part and better than 8% on the quantitative part. This student performed better than 77% of the other test-takers on the verbal part and better than 8% on the quantitative part. This student performed better than 77% of the other test-takers on the verbal part and better than 6% on the quantitative part. 8) 9) A sociologist recently conducted a survey of citizens over 60 years of age who have net worths too high to qualify for Medicaid but have no private health insurance. The ages of the 5 uninsured senior citizens were as follows: 9) Find the upper quartile of the data

3 Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. 0) The weights (in pounds) of 0 newborn babies are listed below. Construct a boxplot for the data set ) ) The test scores of 40 students are listed below. Construct a boxplot for the data set ) Find the indicated measure. ) The test scores of students are listed below. Find Q )

4 Solve the problem. ) The ages of the members of a gym have a mean of 47 years and a standard deviation of 0 years. What can you conclude from Chebyshev's theorem about the percentage of gym members aged between and 6? The percentage is approximately.% The percentage is at least.% The percentage is at least 55.6% The percentage is at most 55.6% ) Find the indicated probability. 4) On a multiple choice test, each question has possible answers. If you make a random guess on the first question, what is the probability that you are correct? 4) 0 5) If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years ) From the information provided, create the sample space of possible outcomes. 6) Flip a coin three times. 6) HHH HHT HTH HTT THH THT TTH TTT HTT THT HTH HHH TTH TTT HHH TTT THT HTH HHT TTH HTH HHH HTT HTH TTT HTT THH HHT THT Find the indicated complement. 7) If P( = 5, find P(. 7) 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 face card or a spade? ) 9) A spinner has equal regions numbered through 5. What is the probability that the spinner will stop on an even number or a multiple of? 9) 7 9 0) A card is drawn from a well-shuffled deck of 5 cards. Find P(drawing an ace or a 9). 0) 4 8 4

5 ) A card is drawn from a well-shuffled deck of 5 cards. Find P(drawing a face card or a 4). ) 4 6 Provide an appropriate response. ) A single die is rolled twice. Find the probability of getting a the first time and a 6 the second time. ) 6 6 ) If you toss a fair coin times, what is the probability of getting all heads? ) Provide an appropriate response. Express your answer as a simplified fraction unless otherwise noted. 4) There are 8 chocolates in a box, all identically shaped. There 5 are filled with nuts, with caramel, and 0 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting solid chocolates in a row ) 5) Consider a political discussion group consisting of 4 Democrats, 7 Republicans, and Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Democrat ) Find the value of the permutation. 6) 0 P 6) 70,09,600,68, ,800 Provide an appropriate response. Express your answer as a simplified fraction unless otherwise noted. 7) Assume that P( = 0.7 and P( = 0.. If A and B are independent, find P(A and. 7) Provide an appropriate response. 8) A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are members and any member can be elected to each position? No person can hold more than one office , ) 9) How many arrangements can be made using letters of the word HYPERBOLAS if no letter is to be used more than once? 70,09, ,800 9) Find the value of the combination. 0) 5 C 4 0)

6 Provide an appropriate response. ) From 0 names on a ballot, a committee of 4 will be elected to attend a political national convention. How many different committees are possible? ,00 0 ) Find the value of the combination. ) 5 C 5 ) Provide an appropriate response. ) In how many ways can a committee of three men and four women be formed from a group of 0 men and 0 women? 50, ,00,68,800 ) 4) A committee consisting of 6 people is to be selected from eight parents and four teachers. Find the probability of selecting three parents and three teachers ) 5) If you are dealt 6 cards from a shuffled deck of 5 cards, find the probability of getting jacks and aces.,07,96,544,85 6 5) 6) The sum of the probabilities of a discrete probability distribution must be 6) between zero and one. equal to one. less than or equal to zero. greater than one. 7) Given the table of probabilities for the random variable x, does this form a probability distribution? Answer Yes or No. 7) x 0 4 P(x) Yes No 8) Calculate the mean for the discrete probability distribution shown here. x 6 7 P(x) ) Find the indicated probability. 9) A class consists of 67 women and men. If a student is randomly selected, what is the probability that the student is a woman? ) 6