Which variable is discrete? number of runners who drop out time to finish a race length of race in kilometers heights of runners Which answer best describes the distribution of the data in the line plot? Question 2 options: bellshaped skewed left uniform skewed right The frequency histogram shows the lengths of trails in a large park. How many trails are less than 18 kilometers long or at least 36 kilometers long? Question 3 options: 15 10 21 24 A camping leader bought the items listed in the table for his team. What is the average cost of an item in his purchase? Item Quantity Cost per item Sun visor 6 $9.45 Sunglasses 10 $6.95 Water bottle 14 $5.50 Whistle 9 $3.10 Question 4 options: $6.35 $5.93 $4.55 $6.25 Which answer is the approximate standard deviation of the data set? Question 5 options: 4.3 6.5 7.0 8.5 An art gallery has 12 vases. How many ways can 5 of the vases be arranged in the display window? Question 6 options: 665,280 792 95,040 2,520 The table shows the different types of shoes available at a family shoe store. What is the probability that a randomly chosen formal shoe is a men's shoe? Men Athletic Formal Casual 16 17 21 Women 20 35 52 Boys 8 4 12 Girls 5 4 16 Question 7 options: about 35.0% about 31.5% about 28.3% about 45.9% Fifty balls are numbered 1 to 50 and a red dot is painted on those balls that are a multiple of 5. The balls are mixed into a bag and one ball is randomly chosen. What is the probability that the ball is numbered with a multiple of 10 or has a red dot? Question 8 options: Question 9 (4 points) A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape. What is the probability that both grapes are red? Question 9 options: about 42.5% about 44.5% about 39.7% about 41.5% Question 10 (4 points) What is the expected value of X? X 2 4 5 7 10 P 0.2 0.1 0.25 0.05 0.4 Question 10 options: 6.25 5.95 6.4 5.6 Question 11 (4 points) Scores on a standardized test are normally distributed with a mean of 246 and a standard deviation of 22. Students who score at least 2.4 standard deviations above the mean receive a certificate. What is the minimum score required to receive the certificate? Question 11 options: 272.0 310.4 294.0 298.8 The weights of books on a library shelf are normally distributed with a mean of 2.8 pounds and a standard deviation of 0.6 pound. Approximately what percent of the books weigh more than 3.5 pounds? Question 12 options: 17% 12% 38% 25% Mrs. Fuller determines which four members of a population, labeled 01 to 47, will be in a sample by starting at line 128. Which members are in the sample? Table of Random Digits Question 13 options: 28, 40, 11, 23 28, 01, 15, 27 37, 42, 01, 15 37, 40, 15, 27 Jackie received 72% of the votes in an election. In a random sample of 40 eligible voters, 32 said they voted for Jackie. Which answer represents p and Study results indicate that the mean time to download a certain program to a personal computer is between 28.7 and 33.5 seconds. What is the study's margin of error? Question 15 options: 7.0 s 4.8 s 3.5 s 2.4 s Movie theater tickets in a region have a mean cost of $8.41 and a standard deviation of $0.82. What is the approximate standard deviation of the sampling distribution of the mean for samples of size 50? Question 16 options: $0.12 $0.17 $0.10 $0.02 In a random sample of 60 people who rode a roller coaster one day, the mean wait time is 42.4 minutes with a standard deviation of 8.8 minutes. In a random sample of 30 people who rode a Ferris wheel the same day, the mean wait time is 12.7 minutes with a standard deviation of 2.8 minutes. Which interval is the 99% confidence interval for the difference between the mean wait times of everyone who rode both rides? Question 17 options: In a simple random sample of 80 patients who saw a certain dentist, 9 patients had their teeth whitened. Which interval is the 95% confidence interval for the percent of all the dentist's patients who had their teeth whitened? Question 18 options: Which phrase is the best description of the association between variables X and Y? Question 19 options: weak positive association strong positive association strong negative association weak negative association Question 20 (4 points) Which answer is the best estimate of the residual when x = 4? Question 20 options: -2.5 2 2.5 -2 An observational study based on survey data concluded that individuals who took more vitamin C were able to recover from the flu faster. You want to replicate this study using an experimental approach. The treatment in this experiment might be: Question 21 options: how long it takes to recover from the flu, in days. the change in body temperature over the period of the experiment. the amount of vitamin C taken per day: 0 mg, 1000 mg, 2000 mg, or 3000 mg. whether an individual took vitamin C in a pill form or liquid form. You conduct a hypothesis test and find a P-value of .025. Which of the following is true? Question 22 options: You can reject Ho at the .01 significance level. You can reject Ho at the .05 significance level. You can accept Ho at the .05 significance level. You can say the probability that Ho is true at p = .025. Which of the following is a necessary step in every hypothesis testing procedure using a test statistic? Question 23 options: State the null and alternative hypotheses in the context of the problem. Compute the test statistic and use it to find the p-value. State a conclusion in context of the problem. All of the above are steps in conducting a hypothesis test. Question 24 (4 points) Compute a test statistic for a random sample with n = 23, s = 2.33, x(bar) = 15.5 for the test Ho: =14.75, Ha: 14.75 Question 24 options: 1.54 1.96 2.074 1.717 Suppose a study showed that the four most popular pizzas are preferred in the following percentages: Topping Perce nt Cheese 24 Peppero 32 ni Sausag e 29 Veggie 15 You decide to keep track of the next 150 pizzas of these types ordered at the restaurant where you work to see if the percentages hold true. This is the data you get at your restaurant: Topping Observed Number Cheese 41 Peppero 55 ni Sausag e 36 Veggie 18 Find the chi-square statistic and the associated P-value for a hypothesis test where the null hypothesis is that the distribution of pizza toppings is as reported in the study, and where the alternative hypothesis is that the distribution of pizza toppings is different from that reported in the study. Question 25 options: X2 = 150.5, P = 0 X2 = 3.908, P = . 419 X2 = 3.908, P = . 097 X2 = 3.908, P = . 272