Answer the following questions

1.The golf scores of the players on two golf teams, Team A and Team B, are listed in order from lowest to highest below.

Team A: 65, 67, 67, 68, 70, 70, 70, 71, 74, 77, 78, 78, 81, 81, 82

Team B: 63, 65, 67, 68, 70, 70, 71, 73, 74, 77, 77, 77, 78, 81, 84

Which of the following statements is a correct comparison of Team B to Team A?

A. Team B has a larger median and a smaller interquartile range.

B. Team B has a larger median and the same interquartile range.

C. Team B has a smaller median and a larger interquartile range.

D. Team B has a smaller median and the same interquartile range

2.A farm produces 10,000 eggs in a day.

• The mean mass of an egg is 59 grams.
• The standard deviation is 5 grams.

An egg is "extra-large" if it has a mass between 63 and 69 grams.

How many extra-large eggs does the farm produce in a day?

3.The class average on a final exam is 85 with a standard deviation of 4 points. Karen scores 81.

Calculate the percentage of students who scored higher than Karen.

4.The class average on a statistics exam is 80 with a standard deviation of 4 points. Which of these best represents the percentage of students who scored between 68 and 82 on the exam?

A. 34%

B. 50%

C. 62%

D. 69%

5.A health magazine wants to determine the most popular flavors of frozen yogurt. The magazine hires a team of researchers to compile a list of 20 popular flavors, based on visits by the team to yogurt shops around the country. Which of the following best describes the process used by the team of researchers?

A. observational study

B. sample survey

C. longitudinal study

D. experiment

6.In a study to investigate the effects of meditation, subjects were assigned at random to either a treatment group or a control group. Is this is an observational study, and why or why not?

A. yes, because the treatment group is observed to determine the effects of meditation

B. no, because the subjects know whether or not they are being asked to meditate

C. yes, because the subjects are randomly assigned to the treatment and control groups

D. no, because the investigators decide which subjects are given the treatment

7.Lindsay wants to study the effect of a new fertilizer on her plants. She randomly selects half her plants to receive the fertilizer and observes how tall they grow over the next three months. This is an example of

A. an experiment.

B. a sample survey.

C. an observational study.

D. a random phenomenon.

8.Daniel recorded the ages of the students in two of his classes below.

• Class I: 14, 15, 15, 16, 16, 16, 17, 17, 18
• Class II: 13, 14, 15, 16, 16, 17, 18, 18, 19

Which statement about Class II is true?

A. The mean of Class II is smaller than Class I, and the median is larger.

B. The mean of Class II is smaller than Class I, and the median is the same.

C. The mean of Class II is larger than Class I, and the median is larger.

D. The mean of Class II is larger than Class I, and the median is the same.

9.Consider the groups of numbers in the box below.

• Group A: 4, 5, 6, 7, 8
• Group B: 2, 4, 6, 8, 10

Which statement about Group B is true?

A. Group B has a larger mean and a larger standard deviation.

B. Group B has a larger mean and a smaller standard deviation.

C. Group B has the same mean as Group A and a larger standard deviation.

D. Group B has the same mean as Group A and a smaller standard deviation.

10.The ages of employees at two local restaurants are listed in order.

• Restaurant A - 16, 18, 18, 21, 21, 23, 25, 26, 27, 30, 32, 34, 42, 43, 44
• Restaurant B - 18, 22, 23, 23, 25, 25, 26, 27, 27, 30, 31, 31, 38, 40, 42

Determine the difference between the two interquartile ranges.

11.A researcher decides that a set of data creates a normal distribution. The models confirm that 68% of the data falls between 15 points and 25 points. Determine whether each statement is true or false.

• The mean is 20 points. (True or False)
• The standard deviation is 5 points. (True or False)
• The researcher also determined that 95% of the data falls between 12 points and 28 points. (True or False)

12.Aiden randomly selected 10 students from his high school for a survey. Which of these statistics could Aiden estimate by surveying these 10 students?

A. the total number of students at his school

B. the total number of students in his city

C. the maximum height of the students in his city

D. the average height of the students at his school

13.Kiera wanted to find the approximate number of historical books at the library she works at. She used the computer to randomly take a sample of 80 books and found that 6 of them were considered historical books. There are 21,360 books at this library.

What is thebestestimate of the amount of historical books at this library?

A. 1282

B. 1602

C. 2136

D. 17,088

14.A randomly simulated sample of size 40 has a mean of 80 and a standard deviation of 4. For a 95% level of confidence, which of these best represents the margin of error?

A. 0.60

B. 0.88

C. 1.04

D. 1.24

15.A survey about study habits is administered to a random sample of 50 college students. One question asks how many hours, on average, the students study per day. The results were found to be normally distributed. The mean of the responses to this question is 4.2 hours and the standard deviation 1.7 hours. Which range gives the 95% confidence interval for the true population mean if the standard error is 0.24?

A. 3.96 to 4.44 hours

B. 2.50 to 5.90 hours

C. 2.38 to 5.61 hours

D. 3.73 to 4.67 hours