Espan The airline company Skyology Inc. selected a small group of three customers, whom we will call A, B, and C. The customers were asked to rate their experience on a scale of 1 to 10, where a rating of 1 means "very poor" and 10 means "very good". Here are the results. Customer Rating A B 6. Consider these three customers to be a population. (The population mean of their ratings is u=6.00 and the population standard deviation of their ratings is G = 0.82.) (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One customer is randomly selected, their rating is recorded, and the customer is put back into the "pool" to be chosen from. Then for a second time a customer is randomly selected and their rating is recorded. There are 9 possible samples. The ratings for several of the possible samples have been listed in the table below. Enter the ratings for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the ratings for each sample, along with the mean and standard deviation of all the column's values. Index Sample Ratings Sample mean, x 1 A, A 5,5 A, B 5,6 3 А, С 5,7 4 В, А 6, 5 В, в 6,6 В, с 6, 7 C, A 0.0 C, B 0.0 C, C 0.0 Compute Mean: Standard deviation: (b) Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places.

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 26PFA
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Related questions
Question
C, A
Españ
C, B
9
C, C
0.0
Compute
Mean:
Standard deviation:
(b) Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the sampling
distribution of the sample mean). Write your answers to two decimal places.
An
(c)
Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean.
Population distribution
Sampling distribution of the sample mean
Frequency
Frequency
5-
5-
4.
4-
3-
3-
2.
2-
1.
0.
5.5
6.5
Rating
Sample mean
Transcribed Image Text:C, A Españ C, B 9 C, C 0.0 Compute Mean: Standard deviation: (b) Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. An (c) Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean. Population distribution Sampling distribution of the sample mean Frequency Frequency 5- 5- 4. 4- 3- 3- 2. 2- 1. 0. 5.5 6.5 Rating Sample mean
Espan
The airline company Skyology Inc. selected a small group of three customers, whom we will call A, B, and C. The customers were asked to rate their experience
on a scale of 1 to 10, where a rating of 1 means "very poor" and 10 means "very good". Here are the results.
Customer Rating
B
6.
C
Consider these three customers to be a population. (The population mean of their ratings is u=6.00 and the population standard deviation of their ratings is
o = 0.82.)
(a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One customer is randomly selected, their rating is
recorded, and the customer is put back into the "pool" to be chosen from. Then for a second time a customer is randomly selected and their rating is
recorded. There are 9 possible samples. The ratings for several of the possible samples have been listed in the table below. Enter the ratings for the
remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the ratings for
each sample, along with the mean and standard deviation of all the column's values.
Index Sample Ratings
Sample mean, x
1
A, A
5,5
A, B
5,6
3
A, C
5,7
4
В, А
6, 5
В, в
6,6
В, С
6, 7
C, A
0.0
C, B
0.0
9
C, C
0.0
Compute
Mean:
Standard deviation:
(b)
Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and c (the standard deviation of the sampling
distribution of the sample mean). Write your answers to two decimal places.
Transcribed Image Text:Espan The airline company Skyology Inc. selected a small group of three customers, whom we will call A, B, and C. The customers were asked to rate their experience on a scale of 1 to 10, where a rating of 1 means "very poor" and 10 means "very good". Here are the results. Customer Rating B 6. C Consider these three customers to be a population. (The population mean of their ratings is u=6.00 and the population standard deviation of their ratings is o = 0.82.) (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One customer is randomly selected, their rating is recorded, and the customer is put back into the "pool" to be chosen from. Then for a second time a customer is randomly selected and their rating is recorded. There are 9 possible samples. The ratings for several of the possible samples have been listed in the table below. Enter the ratings for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample mean of the ratings for each sample, along with the mean and standard deviation of all the column's values. Index Sample Ratings Sample mean, x 1 A, A 5,5 A, B 5,6 3 A, C 5,7 4 В, А 6, 5 В, в 6,6 В, С 6, 7 C, A 0.0 C, B 0.0 9 C, C 0.0 Compute Mean: Standard deviation: (b) Use the table from part (a) to find u- (the mean of the sampling distribution of the sample mean) and c (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places.
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