Statistics eday #2 Assignment

Transcription

1 Name Date Score Box Plots Statistics eday #2 Assignment 1. The box plot below represents the number of college scholarship offers each senior received at Adams High School. What can be interpreted from this box plot? Scholarship Offers Number of Scholarships A. It can be interpreted that 50 percent of senior received less than 4 scholarship offers. B. It can be interpreted that 50 percent of seniors received 2 or more scholarship offers. C. It can be interpreted that 50 percent of seniors received 1 or more scholarship offers. D. It can be interpreted that 50 percent of seniors received 4 or more scholarship offers. E. It can be interpreted that 50 percent of seniors received less than 1 scholarship offer. Probability 2. Kara needs to pick a pair of matching socks from a drawer consisting of 4 black socks, 11 blue socks, 3 white socks, and 5 brown socks. If the first sock that Kara draws is blue, what is the probability that she will get a matching sock on her second draw? A. B. C. D. Central Tendency and Spread 3. What is the mean of the number set below? 38.3, 54.6, 62.2, 33.8, 47.9, 29.1, 59.7, 57.4 A

2 B C D Dotplots 4. The dotplot below shows the number of computers found in each household in a neighborhood. Number of Computers Find the mode of the data above. A. 1 B. 2 C. 5 D. 0 E. 2.1 Experiments 5. A company is conducting an experiment to test the effectiveness of a newly developed drug. Which of the following will be the best method to reduce the placebo effect in the control and treatment groups? A. IV only B. I only I) Single Blinding II) Double Blinding III) Randomization IV) Replication

3 C. III only D. II only E. II and III Categorical Data 6. A survey explored the relationship between age and support for increasing the speed limit on state highways. The results are displayed in the two-way frequency table below. Speed Limit Increase For Against No Opinion Total Ages: Ages: Ages: Ages: Over Total What percentage of the surveyed group supports increasing the speed limit on state highways? A % B % C. 19.7% D % E. 30.3% Random Variables and Probability Distributions 7. Which of the following is a continuous random variable? A. The number of pages in a book. B. The number of acorns on an oak tree. C. The number of windows in the White House. D. The speed of a car. E. The number of points scored in a basketball game. Box Plots 8. Which of the following box plots is skewed right?

4 W. X. Y. Z. A. W B. Z C. There are no box plots shown that are skewed right. D. Y E. X Random Variables and Probability Distributions 9. Each of the following tables lists values of x and their corresponding probabilities. Which of the tables represents a valid probability distribution? A. B. C. D. E. x P(x) x P(x) x P(x) x P(x) x P(x) Experiments

5 10. A company is conducting an experiment to test a new nutritional supplement. The company randomly selects 2000 subjects. Half of the subjects are males, and the other half of the subjects are females. The ages of the subjects range from 18 to 69. The company randomly selects 1000 of the subjects to receive the nutritional supplement. The other 1000 subjects receive a placebo. Which of the following experimental designs describes the experiment above? A. IV B. II C. The design type is not listed. D. I E. III I) Completely Randomized Design II) Randomized Block Design III) Matched Pairs Design IV) Randomized Pairs Design Central Tendency and Spread 11. Ron's average drive to work this week took 25 minutes. The first four days took 30, 25, 21, and 18 minutes, respectively. Based on his mean time, how long was his drive on the fifth and final day of the work week? A. 31 B. 30 C. 32 D. 33 Surveys 12. Which of the following statements is false regarding randomization? I) Randomization allows each member of the population to have an equal probability of being selected for the sample population. II) Randomization helps avoid bias. III) Randomization protects against unknown factors.

6 IV) Randomization can be replaced by accurately matching the sample to the population. V) Randomization allows one to draw inferences about a population through a sample. A. IV B. II C. I D. III E. V Surveys 13. Lydia wants to conduct a survey regarding her high school's uniform policy. Which technique would assure that Lydia's survey is well-designed and well-conducted? A. B. C. D. E. Lydia should randomly select one class to represent the entire student population. She should then administer the survey to all students in the randomly selected class. Lydia should randomly select one grade to represent the entire student population. She should then administer the survey to all students in the randomly selected grade. Lydia should choose her closest friends to represent the entire student population. She should then randomly select a group of her closest friends and administer the survey to her randomly selected friends. Lydia should randomly select a sample of students from the entire student population. She should then administer the survey to all of the randomly selected students. Lydia should select one grade to represent the entire student population. She should then randomly select students in the selected grade and administer the survey to the randomly selected students. Data Collection 14. Which of the following would be the best method for investigating the favorite music genre of a specific student body? A. experimental study B. questionnaire study C. survey D. controlled experiment

7 The Normal Distribution 15. The sitting height (from the bottom of the seat to the top of the person's head) of male and female drivers are each normally distributed. The mean and standard deviation for males is 36 inches and 1.4 inches, respectively. The mean and standard deviation for females is 34 inches and 1.4 inches, respectively. Each are shown below. If a car company wants to design a vehicle so that 99.9% of men and women fit in the driver's seat, how high from the bottom of the seat must they make the roof? A in. B. 36 in. C. It is not possible to answer the question because it is not appropriate to use a normal distribution when there are two separate peaks. D in. The Normal Distribution 16. Which of the following statements is true about the normal distribution? A. B. C. D. A normal distribution is a mound shaped distribution that is symmetrical about the mean and the mean = median = mode. The normal distribution is a distribution that is skewed slightly to the left where the mean < median < mode. The normal distribution is a distribution that is symmetrical about the mean and the mode < mean < median. The normal distribution is a distribution that is skewed slightly to the right where the mode < median < mean. Dotplots 17. The dotplot below shows the number of goals scored per game by the Raiders in a single season.

8 Number of Goals Scored Per Game Which of the following is true regarding the data set above? I. The data is skewed left. II. The data is skewed right. III. The data is symmetric. IV. The entry 10 is an outlier of the data set. A. I only B. I and IV C. III and IV D. II and IV E. II only Scatterplots 18. Choose the scatterplot with negative correlation. W. X.

9 Y. Z. A. W B. The correct graph is not shown. C. X D. Z E. Y Histograms 19. The histogram below shows the price of gas. Which of the following is true? A. The histogram is multimodal. B. The histogram is bimodal. C. The histogram is skewed right. D. The histogram is symmetric. E. The histogram is skewed left.

10 Categorical Data 20. A survey was conducted regarding favorite ice cream flavors. The results are displayed in the bar chart below. According to the survey, what is the most popular ice cream flavor? A. Cookie Dough B. Chocolate C. Vanilla D. Strawberry E. Rocky Road Cumulative Frequency Plots 21. A survey was conducted regarding fuel efficiency. In the survey, a group of car owners were asked their cars average mileage per gallon. The results are displayed in the frequency table below. Average Miles Per Gallon

11 Frequency Choose the ogive curve that represents the frequency table above. W. X. Y. Z. A. W B. The correct graph is not shown. C. Y D. Z E. X

12 Cumulative Frequency Plots 22. The cumulative frequency plot shows the test scores of students in a statistics course. How many students scored 80 or higher on their tests? A. 45 students B. 25 students C. 5 students D. 150 students E. 15 students Stemplots 23. The stemplot below shows the ages of the employees at Jan's Restaurant. Find the mode of the ages. A. 49 B. 20 Employee Age

13 C. 26 D. 65 E. 16 Probability 24. In a group of 294 students, 130 are seniors and 121 are males. Exactly one-half of seniors are females. If a student is randomly selected, what is the probability that the student is a senior or a female? A. B. C. D. Sampling Distributions 25. Assume that a bookstore had 250 customers on Saturday. The average cost of each customer's purchase is 35 dollars, with a standard deviation of 25 dollars. Suppose that a random sample of 100 Saturday's customers are selected. What is the probability that the average purchase price of the selected customers will be 30 dollars or less? A B C D E Scatterplots 26. The heights of people are related to their weights. A collection of data on the heights and weights of 10 high school students produced the scatterplot below.

14 Using the least squares method, write a linear regression equation that models the data above. A. B. C. D. E. Stemplots 27. The stemplot below shows the IQ scores of a group of students. IQ Scores Find the range of the IQ scores. A. 9 B. 100 C. 91.1

15 D. 40 E. 20 Histograms 28. The histogram below shows the restaurant's activity based on the time of day. Which of the following are true? I. The histogram is skewed left. II. The histogram is skewed right. III. The histogram is symmetric. IV. The histogram is unimodal. V. The histogram is multimodal. A. II only B. I and IV C. V only D. III and IV E. II and IV Data Collection 29. Which of the following methods involves the sample population being studied as is? A. observational study B. survey C. controlled experiment

16 D. questionnaire study Sampling Distributions 30. After a student survey, Forest High School learned that 11 percent of freshman males want to tryout for the varsity football team. The football team has 15 open positions for freshman males. If there are 225 freshman males, what is the probability that there will be enough positions for all freshman males on the team? A B C D E