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1. Question: Data is collected on the relationship between time spent playing video games and time spent with family. The data is shown in the table and the line of best fit for the data is y^=−0.27x+57.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables. According to the line of best fit, the predicted number of minutes spent with family for someone who spent 95 minutes playing video games is 31.85. Is it reasonable to use this line of best fit to make the above prediction?
2. Question: Which of the following are feasible equations of a least squares regression line for the annual population change of a small country from the year 2000 to the year 2015? Select all that
3. Question: To test the effectiveness of a drug proposed to relieve symptoms of headache, physicians included participants for a They gave the drug to one group and a drug with no therapeutic effect to another group. Which group receives the placebo?
4. Question: Becky’s statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin 30 times and got heads 18 times. Becky conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of heads is different from50%. Which answer choice shows the correct null and alternative hypotheses for this test?
5. Question: A farmer divided his piece of land into 4 equivalent groups. The quality of the soil is the same across the 4 groups of land. He planted the same crop in all 4 groups of land and recorded the yield of the crop in all 4 groups for a 4 week Is the study observational or experimental? If it is an experiment, what is the controlled factor?
6. Question: The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken? Use the table above for the z-score, and be sure to round up to the nearest
7. Question: Assume the null hypothesis, H0, is: Jacob earns enough money to afford a luxury Find the Type I error in this scenario.
8. Question: The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same Determine which normal distribution has the smallest standard deviation.
9. Question: A doctor notes her patient’s temperature in degrees Fahrenheit every hour to make sure the patient does not get a What is the level of measurement of the data?
10. Question: Given the following list of prices (in thousands of dollars) of randomly selected trucks at a car dealership, find the 20,46,19,14,42,26,33
11. Question: Each person in a group shuffles a deck of cards and keeps selecting a card until a queen Find the mode of the following number of cards drawn from a deck until a queen appears. 3,12,3,11,5,5,3,10,12
12. Question: Given the following histogram, decide if the data is skewed or
13. Question: The answer choices below represent different hypothesis Which of the choices are left- tailed tests? Select all correct answers.
14. Question: Fill in the following contingency table and find the number of students who both go to the beach AND go to the
15. Question: The answer choices below represent different hypothesis Which of the choices are right- tailed tests? Select all correct answers.
16. Question: As a member of a marketing team, you have been tasked with determining the number of DVDs that people have rented over the past six months. You sample twenty adults and decide that the best display of data is a frequency table for grouped Construct this table using four classes. 15,31,28,19,14,18,28,19,10,19,10,24,14,18,24,27,10,18,16,23
17. Question: The bar graph below shows the number of boys and girls in different
18. Question: The histogram below displays the weights of rainbow trout (in pounds) caught by all visitors at a lake on a Saturday afternoon. According to this histogram, which range of weights (in pounds) contains the lowest frequency?
19. Question: The weight of a car can influence the mileage that the car can obtain. A random sample of 20 cars’ weights and mileage is collected. The table for the weight and mileage of the cars is given Use Excel to find the best fit linear regression equation, where weight is the explanatory variable. Round the slope and intercept to three decimal places.
20. Question: The following frequency table summarizes a set of What is the five-number summary?
21. Question: Which of the following frequency tables show a skewed data set? Select all answers that apply.
22. Question: Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 At the 4% significance level, does the data provide sufficient evidence to conclude that Kenneth’s mean stacking time is less than 8.2 seconds? Accept or reject the hypothesis given the sample data below. H0:μ=8.2 seconds; Ha:μ<8.2 seconds α=0.04 (significance level)  z0=−1.7 p=0.0401
23. Question: A recent study suggested that 81% of senior citizens take at least one prescription medication. Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication. What are the null and alternative hypotheses for this hypothesis test?
24. Question: A statistics professor recently graded final exams for students in her introductory statistics. In a review of her grading, she found the mean score out of 100 points was ax¯=77,with a margin of error of 10. Construct a confidence interval for the mean score (out of 100 points) on the final exam.
25. Question: In a psychological study aimed at testing a drug that reduces anxiety, the researcher grouped the participants into 2 groups and gave the anxiety-reduction pill to one group and an inert pill to another group. Which group receives the placebo?
26. Question: True or False: The more shoes a manufacturer makes, the more shoes they
27. Question: Which of the data sets represented by the following box and whisker plots has the smallest standard deviation?
28. Question: Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct
29. Question: A poll was conducted during the final game of the basketball season to determine whether fans wanted to see the defending champions win the game or the challenging team win the From the poll, 216 of the 374 residents sampled from urban areas want the defending champions to win the game. In more rural areas, 304 of the 466 residents polled want the defending champions to win the game. Assuming location has nothing to do with team preference, the probability that the data gathered was the result of chance is calculated to be 0.03. What is the correct interpretation of this calculation?
30. Question: Suppose a chef claims that her meatball weight is less than 4 ounces, on average. Several of her customers do not believe her, so the chef decides to do a hypothesis test, at a 10% significance level, to persuade She cooks 14 meatballs. The mean weight of the sample meatballs is 3.7 ounces. The chef knows from experience that the standard deviation for her meatball weight is 0.5 ounces. H0: μ≥4; Ha: μ<4      α=0.1 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
31. Question: What is the p-value of a right-tailed one-mean hypothesis test, with a test statistic of z0=1.74? (Do not round your answer; compute your answer using a value from the table below.)
32. Question: Find the Type II error given that the null hypothesis, H0, is: a building inspector claims that no more than 15% of structures in the county were built without
33. Question: Describe the shape of the given
34. Question: An amateur astronomer is researching statistical properties of known stars using a variety of They collect the color index, or B−V index, and distance (in light years) from Earth for 30 stars. The color index of a star is the difference in the light absorption measured from the star using two different light filters (a B and a V filter). This then allows the scientist to know the star’s temperature and a negative value means a hot blue star. A light year is the distance light can travel in 1 year, which is approximately 5.9 trillion miles. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.
35. Question: Fill in the following contingency table and find the number of students who both do not play sports AND do not play an
36. Question: A medical researcher claims that the proportion of people taking a certain medication that develop serious side effects is 12%. To test this claim, a random sample of 900 people taking the medication is taken and it is determined that 93 people have experienced serious side The following is the setup for this hypothesis test: H0:p = 0.12     Ha:p ≠ 0.12 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can be utilized which provides areas under the Standard Normal Curve:
37. Question: True or false: The higher the average daily crops harvested, the closer to the peak of harvest it
38. Question: Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probability of this occurring by chance is less than 01, assuming the coin is fair. Determine the meaning of the significance level.
39. Question: The line graph shown below represents the number of TVs in a house by square footage (in hundreds of feet). According to the information above, which of the following is an appropriate analysis of square footage and TVs?
40. Question: An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than 65%. To test this claim, a random sample of 750 people are asked if they plan to purchase a fully electric vehicle as their next car Of these 750 people, 513 indicate that they do plan to purchase an electric The following is the setup for this hypothesis test: H0:p=0.65  Ha:p>0.65   In this example, the p-value was determined to be 0.026.
41. Question: Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed 16,14,14,21,15 Find the mean boxes sold.
42. Question: John owns a computer repair service. For each computer, he charges $50 plus $45 per hour of A linear equation that expresses the total amount of money John earns per computer is y=50+45x. What are the independent and dependent variables? What is the y-intercept and the slope?
43. Question: Hugo averages 59 words per minute on a typing test with a standard deviation of 15 words per Suppose Hugo’s words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(59,15). Suppose Hugo types 57 words per minute in a typing test on Wednesday. The z-score when x=57 is . This z-score tells you that x=57 is            standard deviations to the        (right/left) of the mean,          . Correctly fill in the blanks in the statement above.
44. Question: Ariana keeps track of the amount of time she studies and the score she gets on her quizzes. The data are shown in the table Which of the scatter plots below accurately records the data?
45. Question: A researcher claims that the proportion of cars with manual transmission is less than 10%. To test this claim, a survey checked 1000 randomly selected Of those cars, 95 had a manual transmission. The following is the setup for the hypothesis test: {H0:p=0.10Ha:p<0.10 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.
46. Question: Is the statement below true or false? Independent is the property of two events in which the knowledge that one of the events occurred does not affect the chance the other
47. Question: Which of the following results in the null hypothesis μ≥38andalternative hypothesisμ<38?
48. Question: A fitness center claims that the mean amount of time that a person spends at the gym per visit is 33 minutes. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter μ.
49. Question: Of the following pairs of events, which pair has mutually exclusive events?
50. Question: A random sample of adults were asked whether they prefer reading an e-book over a printed The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book. Use the empirical rule to construct a 95% confidence interval for the true proportion of adults who prefer e-books.
51. Question: In the description of the following experiment, determine the experimental During a study testing the amount of sleep and its effect on test scores, the research team grouped the volunteers enrolled for the test into Group A and Group B. Group A received 4 hours of sleep while Group B received 8+ hours of sleep.
52. Question: Suppose you computed r=0.563 using n=31 data Using the critical values table below, determine if the value of r is significant or not.
53. Question: The lengths of text messages are normally distributed with an unknown population A random sample of text messages is taken and results in a 95% confidence interval of (23,47) characters. What is the correct interpretation of the 95% confidence interval?
54. Question: 135 fitness center members were asked if they run and if they lift The results are shown in the table. Given that a randomly selected survey participant does not run, what is the probability that the participant lifts weights? Provide your answer as a fraction.
55. Question: A restaurant asks its patrons to fill out a customer satisfaction survey to rate the food The options are Very Dissatisfied, Somewhat Dissatisfied, Somewhat Satisfied, Very Satisfied. What is the level of measurement of the data?
56. Question: A small startup company wishes to know how many hours, per week, that its employees spend commuting to and from The number of hours for each employee are shown below. Construct a frequency table for grouped data using four classes. 13, 5, 4, 16, 13, 6, 16, 4, 23, 21, 7, 12, 23, 13, 5, 8, 8, 7, 13, 16 To find the frequency for each class, count the number of data values that fall within the range of each class. For example, the data values 4, 5, 7, and 8 fall within the range of the first class, 4-8. So, the frequency of this class is 7.’
57. Question: Which of the following results in the null hypothesis μ≥38 and alternative hypothesis μ<38?
58. Question: Which of the following shows independent events?
59. Question: The table below gives the average life expectancy (in years) of a person from a certain country based on various years of birth. Here, x represents the year of birth after 1990, and y represents the life expectancy. Use Excel to find the best fit linear regression equation. Round the slope and intercept to three decimal places.
60. Question: The following frequency table summarizes a set of What is the five-number summary?
61. Question: Suppose germination periods, in days, for grass seed are normally distributed and have a known population standard deviation of 5 days and an unknown population mean. A random sample of 19 types of grass seed is taken and gives a sample mean of 36 Find the confidence interval for the population mean with a 99% confidence level. z0.10z0.10 z0.05z0.05 0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645   1.960   2.326   2.576
62. Question: A study took a random sample of students and asked them how many hours they studied and how many hours they played video games on the day before a The data showed that students who spent more time studying earned higher test scores than than students who spent more time playing video games. Is the study observational or experimental? If it is an experiment, what is the controlled factor?
63. Question: Find the graph that matches the following hypothesis H0:p≥17.1, Ha:p<17.1
64. Question: A researcher is interested in whether the variation in the size of human beings is proportional throughout each part of the To partly answer this question they looked at the correlation between the foot length (in millimeters) and height (in centimeters) of 30 randomly selected adult males. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places. Foot length (mm) Height length (cm)
65. Question: Kim is collecting data on the types of religions in his state. What type of data is this?