A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was 21.1   and the standard deviation was 5.6 . The test scores of four students selected at random are 14 ​, 22 ​, 7 ​, and 37 . Find the​ z-scores that correspond to each value and determine whether any of the values are unusual. The​ z-score for 14   is nothing . ​(Round to two decimal places as​ needed.) The​ z-score for 22   is nothing . ​(Round to two decimal places as​ needed.) The​ z-score for 7   is nothing . ​(Round to two decimal places as​ needed.) The​ z-score for 37   is nothing . ​(Round to two decimal places as​ needed.) Which​ values, if​ any, are​ unusual? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.     A. The unusual​ value(s) is/are nothing . ​(Use a comma to separate answers as​ needed.)   B. None of the values are unusual.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was

21.1
 

and the standard deviation was

5.6
.

The test scores of four students selected at random are

14
​,
22
​,
7
​,

and

37
.
Find the​ z-scores that correspond to each value and determine whether any of the values are unusual.
The​ z-score for
14
 

is

nothing
.
​(Round to two decimal places as​ needed.)
The​ z-score for
22
 

is

nothing
.
​(Round to two decimal places as​ needed.)
The​ z-score for
7
 

is

nothing
.
​(Round to two decimal places as​ needed.)
The​ z-score for
37
 

is

nothing
.
​(Round to two decimal places as​ needed.)
Which​ values, if​ any, are​ unusual? Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
 
 
A.
The unusual​ value(s) is/are
nothing
.
​(Use a comma to separate answers as​ needed.)
 
B.
None of the values are unusual.
 
The weights of bags of baby carrots are normally​ distributed, with a mean of 34 ounces and a standard deviation of
0.36 ounce. Bags in the upper​ 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be​ repackaged?
 
A bag of baby carrots can weigh at most
nothing
 
ounces without needing to be repackaged.
​(Round to two decimal places as​ needed.)
A binomial probability is given. Write the probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.
Р/x < 52)
Write the probability in words.
The probability of getting
V 52 successes.
Which of the following is the normal probability statement that corresponds to the binomial probability statement?
O A. P(x < 52.5)
О В. Р(х >51.5)
ОС. Р(x > 52.5)
O D. P(x <51.5)
O E. P(51.5 <x < 52.5)
Transcribed Image Text:A binomial probability is given. Write the probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. Р/x < 52) Write the probability in words. The probability of getting V 52 successes. Which of the following is the normal probability statement that corresponds to the binomial probability statement? O A. P(x < 52.5) О В. Р(х >51.5) ОС. Р(x > 52.5) O D. P(x <51.5) O E. P(51.5 <x < 52.5)
Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution.
The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 103 pounds and a standard deviation of 38.1 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined.
(Round to three decimal places as needed.)
Sketch a graph of the sampling distribution. Choose the correct graph below.
O A.
O B.
OC.
OD.
-300.5 8.5 317.5
86.0 103 120.0
94.5 8.5 111,5
77.4 103 128.6
Transcribed Image Text:Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 103 pounds and a standard deviation of 38.1 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined. (Round to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct graph below. O A. O B. OC. OD. -300.5 8.5 317.5 86.0 103 120.0 94.5 8.5 111,5 77.4 103 128.6
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