Given the following information about two random samples selected from two populations which option correctly describes the shape, mean, and standard deviation of the sampling distribution of Hã, – Hāz? Population Population Population Shape Population Mean Standard Deviation Sample Size Sample Mea Population 1 Approximately Normal 5.8 0.8 38 6.2 Population 2 Approximately Normal 12.3 1.9 42 11.9 None of these is correct. The shape is approximately normal and Hãn - Hãz = 6. 5. The shape, mean, and standard deviation are all unknown. The shape is approximately normal and µz, – Hãz = -5. 7. The shape is approximately normal and HE, – Hī, = -6. 5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Given the following information about two random samples selected from two
populations which option correctly describes the shape, mean, and standard
deviation of the sampling distribution of H, – Hūz?
Population
Population
Population Shape
Population Mean
Sample Size Sample Mean
Standard Deviation
Population 1
Approximately Normal
5.8
0.8
38
6.2
Population 2
Approximately Normal
12.3
1.9
42
11.9
None of these is correct.
The shape is approximately normal and Mãn – Hữ, = 6. 5.
The shape, mean, and standard deviation are all unknown.
The shape is approximately normal and Hã, – Hãz = -5.7.
The shape is approximately normal and H, – Hã, = -6. 5.
The shape is approximately normal and H, – Hã, = 5. 7.
-
Transcribed Image Text:Given the following information about two random samples selected from two populations which option correctly describes the shape, mean, and standard deviation of the sampling distribution of H, – Hūz? Population Population Population Shape Population Mean Sample Size Sample Mean Standard Deviation Population 1 Approximately Normal 5.8 0.8 38 6.2 Population 2 Approximately Normal 12.3 1.9 42 11.9 None of these is correct. The shape is approximately normal and Mãn – Hữ, = 6. 5. The shape, mean, and standard deviation are all unknown. The shape is approximately normal and Hã, – Hãz = -5.7. The shape is approximately normal and H, – Hã, = -6. 5. The shape is approximately normal and H, – Hã, = 5. 7. -
A random sample of size n1 = 50 is selected from a large population with an
unknown shape. A second random sample of size n2 = 25 is selected from a
different large population with an unknown shape. Which of the following is a
correct statement about the conditions for constructing a confidence interval for
Hi – H2?
The Random condition is met for each sample and the Normal/Large Sample
condition is also met for each sample.
The Random condition is met for each sample, but the Normal/Large Sample
condition is not met for at least one sample.
The Random condition is not met for each sample, but the Normal/Large Sample
condition is met for each sample.
Neither the Random condition nor the Large Counts condition for each sample is
met.
Transcribed Image Text:A random sample of size n1 = 50 is selected from a large population with an unknown shape. A second random sample of size n2 = 25 is selected from a different large population with an unknown shape. Which of the following is a correct statement about the conditions for constructing a confidence interval for Hi – H2? The Random condition is met for each sample and the Normal/Large Sample condition is also met for each sample. The Random condition is met for each sample, but the Normal/Large Sample condition is not met for at least one sample. The Random condition is not met for each sample, but the Normal/Large Sample condition is met for each sample. Neither the Random condition nor the Large Counts condition for each sample is met.
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