I need letter d. Thank you! Consider the following population: (6, 7, 8, 9). For this population the mean is6+7+8+9 - 7.5Suppose that a random sample of size 2 is to be selected without replacement from this population. There are 12 possible samples (provided that the order in which observations are selected is taken into account).6,76,8 6,9 7,6 7,8 7,98,6 8,7 8,9 9,6 9,7 9,8(a) Calculate the sample mean for each of the 12 possible samples.Sample Sample Mean6,8i7,67,99,79,80.8Density0.60.40.00.60.46.5(b) Use the sample means to construct the sampling distribution of x. Display the sampling distribution as a density histogram.0.270.07.56.57.5877.58.57.588.56.577.5 8 8.5SampleMean6 6.5 77.5SampleMean8.5Density9.50.8Density0.60.4020.00.60.40.26.50.077.5 8SampleMean6 6.5 78.57.5 8 8.5SampleMean(c) Suppose that a random sample of size 2 is to be selected, but this time sampling will be done with replacement. Using a method similar to that of part (a), construct the sampling distribution of x. (Hint: There are 16 different possible samples in this case.)ost0.8ost0899.5Density0°0.8Density0.60.40.00.6ast0.20.06.5 7(d) In what ways are the two sampling distributions of parts (b) and (c) similar? In what ways are they different? (Select all that apply.)They both cover the same range.One distribution covers a larger range.One distribution is not symmetrical.Their means are equal.They are both symmetrical.Their means are different.7.5 8SampleMean6 6.58.57 7.5 8 8.5SampleMean99.5DensityO0.8Density0.60.40.20.00.60.40.26.50.0767.5SampleMean6.5 7 7.58.5SampleMean8.5 9 9.5

The objective is to find in what ways the two sampling distributions of part (b) and (c) are similar…

Answered: I need letter d. Thank you

Math

Probability

I need letter d. Thank you

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

I need letter d. Thank you!

Consider the following population: (6, 7, 8, 9). For this population the mean is
6+7+8+9 - 7.5
Suppose that a random sample of size 2 is to be selected without replacement from this population. There are 12 possible samples (provided that the order in which observations are selected is taken into account).
6,7
6,8 6,9 7,6 7,8 7,9
8,6 8,7 8,9 9,6 9,7 9,8
(a) Calculate the sample mean for each of the 12 possible samples.
Sample Sample Mean
6,8
i
7,6
7,9
9,7
9,8
0.8
Density
0.6
0.4
0.0
0.6
0.4
6.5
(b) Use the sample means to construct the sampling distribution of x. Display the sampling distribution as a density histogram.
0.2
7
0.0
7.5
6.5
7.5
8
7
7.5
8.5
7.5
8
8.5
6.5
7
7.5 8 8.5
Sample
Mean
6 6.5 7
7.5
Sample
Mean
8.5
Density
9.5
0.8
Density
0.6
0.4
02
0.0
0.6
0.4
0.2
6.5
0.0
7
7.5 8
Sample
Mean
6 6.5 7
8.5
7.5 8 8.5
Sample
Mean
(c) Suppose that a random sample of size 2 is to be selected, but this time sampling will be done with replacement. Using a method similar to that of part (a), construct the sampling distribution of x. (Hint: There are 16 different possible samples in this case.)
ost
0.8
ost
08
9
9.5
Density
0°
0.8
Density
0.6
0.4
0.0
0.6
ast
0.2
0.0
6.5 7
(d) In what ways are the two sampling distributions of parts (b) and (c) similar? In what ways are they different? (Select all that apply.)
They both cover the same range.
One distribution covers a larger range.
One distribution is not symmetrical.
Their means are equal.
They are both symmetrical.
Their means are different.
7.5 8
Sample
Mean
6 6.5
8.5
7 7.5 8 8.5
Sample
Mean
9
9.5
Density
O
0.8
Density
0.6
0.4
0.2
0.0
0.6
0.4
0.2
6.5
0.0
7
6
7.5
Sample
Mean
6.5 7 7.5
8.5
Sample
Mean
8.5 9 9.5

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