A frozen yogurt shop conducted a survey in which it asked every fourth customer for his or her favorite flavor. Most of the customers surveyed preferred vanilla yogurt, so the shop concluded that the customers' favorite flavor is vanilla. Is this a valid conclusion?
A.
No. Since it was a biased sample, it is most likely not representative of the population.
B.
Yes. Since it was a biased sample, it is most likely representative of the population.
C.
Yes. Since it was a random sample, it is most likely representative of the population.
D.
No. Since it was a random sample, it is most likely not representative of the population.
A. No. Since it was a biased sample, it is most likely not representative of the population.
So far this season, Shawn has averaged 7 out of 11 free throws per game. Based on his previous performance, how many free throws can Shawn expect to make if he takes 22 free throws in his next game?
A.
4
B.
14
C.
21
D.
7
C. 21
Jean drove 61 miles per hour for a total of 488 miles on a trip. She used the equation below to calculate the time, t, it would take her to complete the trip.
What is the constant of proportionality in the equation?
A.
488
B.
8
C.
61
D.
t
C. 61
To get ready for the daily lunch rush, a deli prepared 30 salads topped with croutons. The manager randomly selected 5 of the salads and counted the number of croutons on each salad. The results are shown in the table below.
Sample of Salads
Salad Number of
Croutons
A 11
B 16
C 11
D 12
E 15
Assuming the sample was representative of all the prepared salads, what was the mean number of croutons per salad?
A.
14
B.
12
C.
11
D.
13
The mean number of croutons per salad is calculated by adding up the number of croutons on each salad and dividing by the total number of salads.
(11 + 16 + 11 + 12 + 15) / 5 = 65 / 5 = 13
Therefore, the mean number of croutons per salad is 13.
D. 13
41.90+20
A. No. Since it was a biased sample, it is most likely not representative of the population.
To explain why, let's first understand what a biased sample is. A biased sample is a sample that does not accurately represent the population because certain groups or characteristics are overrepresented or underrepresented.
In this case, the frozen yogurt shop only asked every fourth customer for their favorite flavor. By only surveying every fourth customer, they introduced a systematic bias into the sample. This means that certain types of customers may be overrepresented or underrepresented in the survey results.
For example, if specific types of customers were more likely to be chosen as every fourth customer (e.g., those more likely to choose vanilla yogurt), then the survey results would be skewed towards their preferences. This would not accurately reflect the preferences of the entire population of customers.
Therefore, the conclusion that vanilla is the customers' favorite flavor based on this biased sample is not valid. A random sample that includes a diverse range of customers would be more representative and provide more reliable results.