1. When collecting water data from different sample locations in a lake, a researcher uses the " l stretching a single rope with containers tied to it across the lake and collects samples at every Indetify which type of sampling is used here. A. B. C. D. Random Sampling Convenience Sampling Cluster sampling Systematic sampling 2. Researchers from the National Institutes of Health want to determine the current rate of smok They conduct a survey of 500 adults of each gender in Hays. Identify the types of study for th A. Observational and Prospective B. Observational and Cross-sectional C. Experimental and Retrospective D. Experimental and Cross-sectional Problems 3 and 4 refer to the following data: These data show the daily gross amounts (in millions of dollars) earned in box office receipts 40 22 27 29 10 10 8 20 24 14 11 9 4 4 3. Find the mean and median to the nearest tenth for this sample data. Mean = 22.0, Median = 12.5 Mean = 22.0, Median = 11.0 Mean = 16.6, Median = 12.5 Mean = 16.6, Median = 11.0 4. Which of the following gives the sample standard deviation and the range of the data? A. SD = 10.7, Range = 18 B. SD = 10.7, Range = 36 C. SD = 12.5, Range = 18 D. SD = 12.5, Range = 36 5. The following frequency distribution summarized ACT Math scores of 50 randomly chosen co their mean ACT Math score by using class midpoints for the ACT scores. A. Mean = 19.58 B. Mean = 18.62 C. Mean = 18.00 D. Mean = 21.57 6. Which one of the following describes a quantitative, discrete variable? A. Letter grade of students in a class (A, B, C, D, and U). B. Mean IQ Score of students in a class. C. Height of student in a class. D. Number of students in a class. Problems 7 and 8 refer to the following histogram, which represents the ages of people randomly selected from Thomas Prep-Marian High School during last Friday morning (Parent-teacher meeting): 7. What percent of people with ages less than 50 entered the school? A. 45.8% B. 60.4% C. 54.2% 8. Within which age group would the first quartile (Q1) fall? A. 1019 B. 2029 C. 3039 Problems 9 and 10 refer to the following box-and-whisker plots to compare homework time per night with TV Homework time (in minutes) 0 20 48 60 TV time (in minutes) 190 TV time (in minutes) 0 15 225 60 110 9. Which distribution shape most likely describes the boxplot homework time? A. B. C. D. Skewed right Skewed left Uniform Normal 10. Which of the following statements is false concerning the box-and-whisker plots? A. B. C. D. TV time has a larger interquartile range (IQR) than Home TV time has a larger median than Homework time TV time has a larger maximum than Homework time TV time has a larger Q1 than Homework time 11. Out of fifty randomly chosen adults age 65 or older, at least 15 had a Facebook account. What A. B. C. D. Fifteen or fewer had a Facebook account. Fewer than fifteen had a Facebook account. No more than fifteen had a Facebook account. Fifteen or more had a Facebook account. 12. If P(A) = 0.08, which one of the following statements is true? A. B. C. D. The probability of the complement of event A is 0.32. The probability of event A happening twice in a row (with replacement) is 0.0064 Event A is an \"unusual\" event For each 8 times event A happens, there are 100 times in which A doesn't happen. Problems 13 and 14 refer to the following table: The following table is the probability distribution for the number in a group of five randomly selected males who blindness. The probabilities are based on data from the National Institutes of Health. In the table, x = the number of color blindness, and P(x) is the probability of x males having a form of color blindness. x P(x) 0 0.658 1 0.287 2 0.05 3 0.004 4 0.001 5 0+ 13. Determine the probability that at least one of the males has a form of colorblindness. A. B. C. D. 0.658 0.342 0.945 0.055 14. Determine the expected number (mean) of males who have a form of color blindness. A. B. C. D. 0.05 0.2 0.4 3 15. A bag contains 6 red marbles, 4 blue marbles, and 3 green marbles. If you draw two marbles, is the probability that you get 2 red marbles? A. 0.1775 B. 0.1923 C. 0.8782 16. A widely accepted fact is that 80% of all people have brown eyes. What is the probability of r and neither of them has brown eyes? A. 1.6 B. 0.04 C. 0.64 17. According to one study, 19% of all third graders have their own cell phone. Six third graders a is the probability that less than 2 of them have a cell phone? (NOTE: this problem meets all t binomial situation.) A. 0.23 B. 0.4 C. 0.68 Problems 18 through 24 refer to the following: Daily temperatures in Honolulu are normally distributed with a mean of 73 degrees and a standard devia 18. What is the z-score that corresponds to a temperature of 80 degrees within this distribution? A. 1.4 B. 1.4 C. 0.85 19. What symmetric interval about the mean will contain approximately 99.7% of the daily tempe A. 58 to 88 B. 63 to 83 C. 68 to 78 20. What is the probability that a randomly selected day will have a temperature below 65 degrees A. 0.95 B. 1.6 C. 1.6 th 21. What temperature is at the 40 percentile (rounded to the nearest whole number)? A. 72 B. 74 C. 69 22. What percentage of daily temperatures are between 75 degrees and 80 degrees? A. 0.34 B. 0.26 C. 0.84 23. Suppose random samples of 25 daily temperatures are selected repeatedly from the population A. C. Mean = 73, SD = Mean = 73, SD = B. D. Mean = 73, SD = Mean = 73, SD = 24. What is the probability that a sample of 25 daily temperatures chosen at random have an avera A. 0.9773 B. 0.3446 C. 0.0228 Problems 25 through 27 are based on the information provided directly below: Suppose you want to determine the average GPA of all FHSU students. You randomly select 25. Compute a 99% confidence interval for the mean GPA of all FHSU students, if the sample sta A. B. C. D. 2.68 2.68 2.68 2.68 0.372 0.429 0.404 0.451 26. Assume the population standard deviation is estimated to be = 0.8. of error of 0.25 with 99% confidence? A. B. C. D. What sample size, n, is 68 49 30 56 27. Consider the situation given in Problem #26. Which of the following would produce a confide A. Using a confidence level of 90% B. C. D. Using a smaller estimate for Using a smaller sample size All of the above A through C 28. Which of the following statements is false? A. The Central Limit Theorem states that a sampling distribution of means will not h the same shape as the population distribution from which it is taken. B. The Central Limit Theorem states that the mean of a sampling distribution of me will have the same mean as the population distribution from which it is taken. C. The Central Limit Theorem states that the standard deviation of a sampling distri of means (with n > 1) will have a smaller standard deviation as the population distribution from which is taken. None of A through C areitfalse. D. 29. If your population is normally distributed, which of the following statements regarding confid A. B. C. D. 30. When is known, we use the critical value, z. When n >30, we use the critical value, z. When n < 30, we use the critical value, t. None of A through C are always true. A researcher is interested in conducting a poll on the President's approval rating. A margin of desired. How many people must be sampled to meet this requirement at the 95% confidence l estimate of p-hat is known? A. B. C. D. 1691 250 2401 170 31. The marketing director for a cereal company would like to know what proportion of househol samples of the cereal with their newspapers later purchase the cereal. A random sample of 250 72 purchased the cereal after receiving the free sample. Construct a 95% confidence interval f households that purchased the cereal after receiving the free sample. A. B. C. D. 0.25 to 0.32 0.23 to 0.34 0.66 to 0.78 0.21 to 0.36 32. The US census reported that it takes workers an average of 28 minutes to drive home from wo Wichita believe that it takes workers in their city less than 28 minutes to drive home from wor gives the proper alternative hypothesis to test the claim that the average length of time for wo home from work is under 28 minutes? A. B. C. D. H1 : H1 : H1 : H1 : = 28 < 28 > 28 28 33. The health of the bear population in Yellowstone National Park is monitored by periodic meas anesthetized bears. A sample of 54 such bears has a mean weight of 182.9 lb. Assuming that use a 0.05 significance level to test the claim that the population mean of all such bear weight Compute the test statistic for this test with H1: > 150. A. B. C. D. 1.98 2.73 1.98 2.73 34. The Pew Research Center conducted a survey of 1007 randomly selected adults and found tha what Twitter is. Use a 0.01 significance level to test the claim that more than 75% of adults k Compute the P value for this test. A. B. C. D. 0.0001 2.76 2.6 0.0046 35. Suppose for a particular hypothesis test, a = 0.05 and the P value = 0.10. Which of the follow A. B. C. D. We reject the null hypothesis. We fail to reject the null hyppthesis. observed result is "not unusual". The computed test statistic, z, does not fall in the shaded critical region of the tai curve. 36. A sample of 40 women is obtained, and their heights (in inches) and pulse rates (in beats per m average height was 67.9 inches and the average pulse rate was 85.2 bpm. The linear correlatio and the equation of the regression line is found to be = 18.26 + 0.920x , where predicted pulse rate of a woman who is 70 inches tall. A. B. C. D. 85.2 bpm 82.6 bpm 54.0 bpm 67.9 bpm 37. A correlation coefficient of 0.96 between two quantitative variables A and B indicates that A. As A increases, B tends to increase. B. Changes in A cause changes in B. C. As A increases, B tends to decrease. D. There is a very weak association between A and B, and change in A will not affect B 38. Of the scatterplot graphs below, which one represents the strongest, positive linear correlation A. B. C. D. Problems 39 and 40 refer to the following table pairing the values of the Consumer Price Index (CPI) and the n CPI Pizza Cost 30.2 48.3 112.3 162.2 191.9 197.8 0.15 0.35 1 1.25 1.75 2 39. Compute the least squares regression line for the cost of pizza. A. B. C. D. = 0.1616x 0.0101 = 0.0101x 0.1616 = 0.0101x + 0.1616 = 0.1616x 0.0101 40. Calculate the linear correlation coefficient between the two variables. A. B. C. D. 0.985 0.985 0.971 0.971 a researcher uses the " line transect method" by ollects samples at every interval of 5 meters. the current rate of smoking among adults in Hays. the types of study for this description. d in box office receipts (first 2 weeks) of the movie nge of the data? f 50 randomly chosen college students. Estimate res. ACT Frequenc Score y 1-6 3 7 - 12 6 13 - 18 12 19 - 24 16 25 - 30 9 31 - 36 4 randomly selected from those who entered D. 57.6% D. 7079 time per night with TV time per night for the same group of sophomores. time? hisker plots? Facebook account. What is the complement of this description? replacement) is 0.0064. which A doesn't happen. mly selected males who have a form of color he table, x = the number of males who have a form colorblindness. color blindness. you draw two marbles, without replacement, what D. 0.8462 at is the probability of randomly selecting 2 people D. 0.16 hone. Six third graders are randomly chosen. What this problem meets all the requirements of a D. 0.91 ees and a standard deviation of 5 degrees. ithin this distribution? D. 1.03 9.7% of the daily temperatures? 68 to 78 erature below 65 degrees? D. 53 to 93 D. 0.05 D. 29 D. 0.08 le number)? edly from the population. What is the mean and standard deviation for the sampling distribution of sample means? at random have an average above 75 degrees? D. 0.6554 s. You randomly select 33 students and find that those students had a mean GPA of 2.68. udents, if the sample standard deviation was s = 0.9. What sample size, n, is needed to obtain a margin would produce a confidence interval with a larger margin of error? ution of means will not have it is taken. pling distribution of means om which it is taken. tion of a sampling distribution ion as the population ements regarding confidence intervals of population means is always true? oval rating. A margin of error of at most 2% is at the 95% confidence level if no preliminary proportion of households that received free A random sample of 250 households showed that 5% confidence interval for the proportion of all s to drive home from work. City officials in to drive home from work. Which of the following ge length of time for workers in Wichita to drive nitored by periodic measurements taken from 82.9 lb. Assuming that is known to be 121.8 lb, of all such bear weights is greater than 150 lb. ted adults and found that 791 of those adults know re than 75% of adults know what Twitter is. 10. Which of the following statements is false? critical region of the tail in the normal ulse rates (in beats per minute) are measured. The pm. The linear correlation coefficient is r = 0.802 0x , where x represents height. Find the best A and B indicates that nge in A will not affect B. ositive linear correlation? e Index (CPI) and the national average cost of a slice of pizza: mple means