# (solved) Math 225N Week 4 Quiz

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## Math 225N Week 4 Quiz

**Week 4 Quiz**

**QUESTION 1**

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 below.

16,14,14,21,15

Find the mean boxes sold.

Provide your answer below:

**QUESTION 2**

Given the following list of prices (in thousands of dollars) of randomly selected trucks at a car dealership, find the median.

20,46,19,14,42,26,33

Provide your answer below:

**QUESTION 3**

Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. 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

Provide your answer below:

**QUESTION 4**

The dataset below represents bugs found by a software tester in her product during different phases of testing: 88, 84, 81, 94, 91, 98, 98, 200

The measures of central tendency are given below:

Mean: 104.25; Median: 92.5; Mode: 98. Identify the outlier and the measure of central tendency that is affected by the outlier.

Select the correct answer below:

- The outlier is 98. The mode is affected by the outlier.
- The outlier is 98. The mean is affected by the outlier
- The outlier is 200. The median is affected by the outlier.
- The outlier is 200. The mean is affected by the outlier.

**QUESTION 5**

Given the following histogram, decide if the data is skewed or symmetrical.

Select the correct answer below:

The data are skewed to the left.

The data are skewed to the right.

The data are symmetric.

**QUESTION 6**

The following data set represents the ages of ** all **seven grandchildren in a family.

4, 5, 11, 12, 11, 8, 5

If the variance of the ages is 9.7, what is the standard deviation?

- Round the final answer to one decimal place.

Provide your answer below:

**QUESTION 7**

Which of the data sets represented by the following box and whisker plots has the smallest standard deviation?

Select the correct answer below:

A

B

C

D

**QUESTION 8**

The box-and-whisker plot shows the number of books read by history students during the last school year.

A box and whisker plot with minimum 4, first quartile 6, median 8, third quartile 10, and maximum 15

What is the range of the data?

Provide your answer below:

**QUESTION 9**

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 occurs.

Select the correct answer below:

True

False

**QUESTION 10**

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 0.01, assuming the coin is fair. Determine the meaning of the significance level.

Select the correct answer below:

We expect that 416 of every 500 coin tosses will result in heads.

At the 0.01 level of significance, the coin is likely not a fair coin.

There is certainty that the coin is not a fair coin.

The results are not statistically significant at the 0.05 level of significance.

**QUESTION 11**

A spinner contains the numbers 1 through 80. What is the probability that the spinner will land on a number that is not a multiple of 11?

- Give your answer in fraction form.

Provide your answer below:

73/80

**QUESTION 12**

Of the following pairs of events, which pair has mutually exclusive events?

Select the correct answer below:

rolling a sum greater than 7 from two rolls of a standard die and rolling a 4 for the first throw

drawing a 2 and drawing a 4 with replacement from a standard deck of cards

rolling a sum of 9 from two rolls of a standard die and rolling a 2 for the first roll

drawing a red card and then drawing a black card with replacement from a standard deck of cards

**QUESTION 13**

Fill in the following contingency table and find the number of students who both go to the beach AND go to the mountains.

Provide your answer below:

**QUESTION 14**

A group of 140 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table below. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color green?

- Enter your answer as a fraction.

Male | Female | Total | |

Orange | 12 | 50 | 62 |

Green | 5 | 73 | 78 |

Total | 17 | 123 | 140 |

Provide your answer below:

**QUESTION 15**

Researchers want to study whether or not a fear of flying is related to a fear of heights. They surveyed a large group of people and asked them whether or not they had a fear of flying and whether or not they had a fear of heights. The data are shown in the contingency table below. What is the relative risk of being afraid of heights for those who are afraid of flying? Round your answer to two decimal places

Provide your answer below:

**QUESTION 16**

Which of the following frequency tables show a skewed data set? Select all answers that apply.

Select all that apply:

Value | Frequency |

5 | 1 |

6 | 2 |

7 | 10 |

8 | 11 |

9 | 17 |

10 | 17 |

11 | 15 |

12 | 12 |

13 | 7 |

14 | 7 |

15 | 0 |

16 | 1 |

Value | Frequency |

5 | 1 |

6 | 3 |

7 | 8 |

8 | 10 |

9 | 13 |

10 | 26 |

11 | 14 |

12 | 12 |

13 | 8 |

14 | 3 |

15 | 1 |

16 | 1 |

Value | Frequency |

12 | 1 |

13 | 1 |

14 | 3 |

15 | 6 |

16 | 23 |

17 | 29 |

18 | 19 |

19 | 15 |

20 | 3 |

Value | Frequency |

0 | 5 |

1 | 16 |

2 | 23 |

3 | 19 |

4 | 22 |

5 | 9 |

6 | 4 |

7 | 2 |

**QUESTION 17**

A student wants to know his average homework grade for the first half of his math class. There were 7 home works in the first half of the class, and his grades out of 100 are given by

100,90,95,89,92,85,95.

What is the population mean of his homework grades? Round your answer to the nearest tenth

Provide your answer below:

**QUESTION 18**

The following data set represents the ages of ** all **six grandchildren in a family.

Find the variance for this data set of ages:

6, 3, 14, 11, 14, 6

- Round the final answer to one decimal place.

Provide your answer below:

**QUESTION 19**

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 game. 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?

Select the correct answer below:

More people from rural areas want the defending champions to win the game.

Exactly 216 out of every 374 urban residents want the defending champions to win the game.

The results are statistically significant at the 0.05 level of significance in showing that the proportion of people in rural areas who want the defending champions to win the game is different than the proportion of people in urban areas.

The data is not statistically significant at the 0.05 level of significance in showing that the proportion of people in rural areas who want the defending champions to win the game is different than the proportion of people in urban areas.

**QUESTION 20**

Find the mode of the following amounts (in thousands of dollars) in savings accounts of randomly selected people aged 25-30.

8,6,8,7,2,2,2,4,4,4,4,7

Provide your answer below:

**QUESTION 21**(There is a different version of the same question, see next)

A deck of cards contains red cards numbered 1,2,3,4,5,6, blue cards numbered 1,2,3 and green cards numbered 1,2,3,4,5,6,7,8,9,10,11,12,13,14. If a single card is picked at random, what is the probability that the card is green?

- Give your answer as a fraction.

Provide your answer below:

**QUESTION 21**

A deck of cards contains red cards numbered 1,2,3,4, blue cards numbered 1,2,3,4,5 and green cards numbered 1,2,3,4,5,6,7,8,9,10. If a single card is picked at random, what is the probability that the card is red?

- Give your answer as a fraction.

Provide your answer below:

**QUESTION 21**

**1 POINT**

A deck of cards contains red cards numbered 1,2, blue cards numbered 1,2,3,4 and green cards numbered 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17. If a single card is picked at random, what is the probability that the card is blue?

- Give your answer as a fraction.

Provide your answer below:

**QUESTION 22**(There is a different version of the same question, see next)

The five-number summary for a set of data is given below.

Min | Q1 | Median | Q3 | Max |

55 | 64 | 65 | 71 | 85 |

What is the interquartile range of the set of data?

Provide your answer below:

**QUESTION 22**

The five-number summary for a set of data is given below.

Min | Q1 | Median | Q3 | Max |

80 | 81 | 85 | 92 | 95 |

What is the interquartile range of the set of data?

Provide your answer below:

**QUESTION 22**

**1 POINT**

The five-number summary for a set of data is given below.

Min | Q1 | Median | Q3 | Max |

43 | 48 | 53 | 62 | 81 |

What is the interquartile range of the set of data?

Provide your answer below:

**QUESTION 23**(There is a different version of the same question, see next)

The five-number summary for a set of data is given below.

Min | Q1 | Median | Q3 | Max |

54 | 60 | 64 | 68 | 98 |

What is the interquartile range of the set of data?

Provide your answer below:

**QUESTION 23**

The five-number summary for a set of data is given below.

Min | Q1 | Median | Q3 | Max |

57 | 61 | 67 | 71 | 98 |

What is the interquartile range of the set of data?

Provide your answer below:

**QUESTION 23**

**1 POINT**

The five-number summary for a set of data is given below.

Min | Q1 | Median | Q3 | Max |

42 | 49 | 52 | 61 | 81 |

What is the interquartile range of the set of data?

Provide your answer below:

**QUESTION 24**(There is a different version of the same question, see next)

The following frequency table summarizes a set of data. What is the five-number summary?

Value | Frequency |

1 | 4 |

3 | 2 |

4 | 1 |

6 | 1 |

8 | 1 |

9 | 4 |

10 | 3 |

12 | 1 |

16 | 1 |

18 | 1 |

Select the correct answer below:

Min | Q1 | Median | Q3 | Max |

1 | 3 | 7 | 10 | 18 |

Min | Q1 | Median | Q3 | Max |

1 | 8 | 9 | 12 | 18 |

Min | Q1 | Median | Q3 | Max |

1 | 4 | 13 | 12 | 18 |

Min | Q1 | Median | Q3 | Max |

1 | 3 | 9 | 10 | 18 |

Min | Q1 | Median | Q3 | Max |

1 | 4 | 5 | 9 | 18 |

**Answer**

Min | Q1 | Median | Q3 | Max |

1 | 3 | 9 | 10 | 18 |

**QUESTION 24**

The following frequency table summarizes a set of data. What is the five-number summary? (There is a different version of the same question, see next)

Value | Frequency |

6 | 6 |

8 | 2 |

9 | 1 |

11 | 1 |

14 | 1 |

16 | 1 |

18 | 1 |

23 | 6 |

24 | 3 |

25 | 1 |

26 | 1 |

28 | 1 |

29 | 1 |

30 | 1 |

Select the correct answer below:

Min | Q1 | Median | Q3 | Max |

6 | 8 | 12 | 24 | 30 |

Min | Q1 | Median | Q3 | Max |

6 | 9 | 10 | 23 | 30 |

Min | Q1 | Median | Q3 | Max |

6 | 9 | 27 | 26 | 30 |

Min | Q1 | Median | Q3 | Max |

6 | 13 | 14 | 26 | 30 |

Min | Q1 | Median | Q3 | Max |

6 | 8 | 23 | 24 | 30 |

**QUESTION 24**

The following frequency table summarizes a set of data. What is the five-number summary?

Value | Frequency |

1 | 4 |

2 | 2 |

9 | 1 |

10 | 1 |

11 | 1 |

13 | 4 |

14 | 3 |

15 | 1 |

16 | 1 |

17 | 1 |

**QUESTION 24**

**1 POINT**

The following frequency table summarizes a set of data. What is the five-number summary?

Value | Frequency |

1 | 4 |

2 | 2 |

9 | 1 |

10 | 1 |

11 | 1 |

13 | 4 |

14 | 3 |

15 | 1 |

16 | 1 |

17 | 1 |

Select the correct answer below:

Min | Q1 | Median | Q3 | Max |

1 | 2 | 13 | 14 | 17 |

Min | Q1 | Median | Q3 | Max |

1 | 4 | 5 | 13 | 17 |

Min | Q1 | Median | Q3 | Max |

1 | 2 | 6 | 14 | 17 |

Min | Q1 | Median | Q3 | Max |

1 | 3 | 17 | 16 | 17 |

Min | Q1 | Median | Q3 | Max |

1 | 7 | 8 | 16 | 17 |

**QUESTION 25**

Identify the parameter n in the following binomial distribution scenario. A basketball player has a 0.479 probability of making a free throw and a 0.521 probability of missing. If the player shoots 17 free throws, we want to know the probability that he makes more than 9 of them. (Consider made free throws as successes in the binomial distribution.)

Do not include ‘n=’ in your answer.

Provide your answer below:

**QUESTION 26**

The probability of buying a movie ticket with a popcorn coupon is 0.717. If you buy 21 movie tickets, what is the probability that exactly 14 of the tickets have popcorn coupons? (Round your answer to 3 decimal places if necessary)

Provide your answer below: