Question

The data from two random samples of 200 people regarding their favorite nuts is shown in the following table.

Almond Pistachio Cashew Walnuts Total
Sample 1 40 62 63 35 200
Sample 2 43 64 61 32 200
Based on the two samples, what percentage of the people prefer cashew nuts?

a 62%
b 30.5%
c 31%
d 31.5%

Answer 1

The following data sets represent the highway fuel efficiency in miles per gallon (mpg) of randomly selected cars from two car companies. Which company has cars that are more consistent in highway fuel efficiency?

Car Company A: 35, 28, 35, 30, 31, 36, 35, 30
Car Company B: 29, 33, 40, 27, 34, 34, 34, 25

(1 point)
Responses

Cars from both companies have equally consistent highway fuel efficiency.

Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B.

Car Company B is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company A.

Car Company A is more consistent, because the range of highway fuel efficiency of its cars is higher than that of Car Company B.

Answer 2

The randomly selected delivery times, in minutes, of two restaurants are as follows. Which restaurant has more consistent delivery times?

Restaurant 1 Restaurant 2
40 42
37 38
40 37
41 39
38 38
46 40
41 42
37 41
40 40
(1 point)

Responses

Restaurant 2 is more consistent, because the range of its delivery times is lower than that of Restaurant 1.

The delivery times of both restaurants are equally consistent.

Restaurant 1 is more consistent, because the range of its delivery times is lower than that of Restaurant 2.

Restaurant 2 is more consistent, because the range of its delivery times is higher than that of Restaurant 1.

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Answer 3

The data shows the number of miles run per week by randomly selected students from two different classes. Find the difference between the medians. Which class has a higher median? By how much?

Class 1: 6, 8, 10, 11, 14, 4, 5, 8, 2, 7, 7, 5, 10, 12, 11
Class 2: 6, 4, 5, 6, 7, 8, 12, 9, 10, 11, 5, 8, 7, 4, 10

(1 point)
Responses

Class 2 has a higher median than Class 1 by 0.5 mile.

Class 1 has a higher median than Class 2 by 0.5 mile.

Class 2 has a higher median than Class 1 by 1 mile.

Class 1 has a higher median than Class 2 by 1 mile..

Answer 4

The data shows the number of seconds it took two randomly selected groups to thread a needle. Compare the measures of center and variability of these data sets.

Student Group A: 56, 14, 26, 28, 29, 45, 32, 80, 3, 10
Student Group B: 27, 24, 18, 19, 5, 16, 22, 10, 6, 20

Which of the following statements about these data sets is false?

(1 point)
Responses

The mean time taken by Group A is higher than that of Group B.

The ranges of the time taken by Group A and Group B are the same.

The amount of variability of the time taken by Group A to thread a needle is higher than the amount of variability of the time taken by Group B.

The median time taken by members of Group A to thread a needle is higher than that of members of Group B.

Answer 5

Two fertilizers are applied to randomly selected potato plants. After several weeks, the potatoes are weighed. The weights in kilograms are as follows. Which fertilizer is generally more effective?

Fertilizer A: 27, 20, 16, 18, 22, 19, 23, 21, 17, 19
Fertilizer B: 28, 19, 18, 21, 24, 20, 25, 27, 29, 21

(1 point)
Responses

Fertilizer B is generally more effective, because the mean and median weights of the potatoes that were treated with it are higher.

Fertilizer A is generally more effective, because the mean and median weights of the potatoes treated with it are higher.

Fertilizers A and B are equally effective, because the ranges of the weights of the potatoes are the same.

Fertilizers A and B are both ineffective, because there is no difference in the ranges of the weights of the potatoes.