Specify the differences between a large-sample and small-sample test of hypothesis about a population mean α Focus on the assumptions and test statistics.

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Answer 1

Textbook Question

Chapter 7, Problem 7.108LM

Specify the differences between a large-sample and small-sample test of hypothesis about a population mean α Focus on the assumptions and test statistics.

Expert Solution

To determine

To explain: The difference between the large samples and small samples for the hypothesis about a population mean.

Explanation of Solution

The hypothesis test about a population mean for a larger sample does not require any assumption because the central limit theorem states that the test statistic approximately has a normal distribution. For a small sample, assume that the population being sampled is normal.

For a large sample, the test statistic is the z-statistic.
For a small sample, the test statistic is the t statistic.

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Students have asked these similar questions

A hypothesis will be used to test that a population mean equals 9 against the alternative that the population mean is less than 9 with known variance . What is the critical value for the test statistic for the significance level of 0.025? Round your answer to two decimal places (e.g. 98.76).

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Consider the following hypothesis test. Ho: H = 15 На: и# 15 A sample of 50 provided a sample mean of 14.05. The population standard deviation is 3. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value (c) At a = 0.05, state your conclusion. Reject Ho. There is sufficient evidence to conclude that u # 15. Reject Ho. There is insufficient evidence to conclude that u + 15. Do not reject Ho. There is sufficient evidence to conclude that u + 15. Do not reject Ho. There is insufficient evidence to conclude that u + 15. O O O O

Answer 2

Textbook Question

Chapter 7, Problem 7.108LM

Specify the differences between a large-sample and small-sample test of hypothesis about a population mean α Focus on the assumptions and test statistics.

Expert Solution

To determine

To explain: The difference between the large samples and small samples for the hypothesis about a population mean.

Explanation of Solution

The hypothesis test about a population mean for a larger sample does not require any assumption because the central limit theorem states that the test statistic approximately has a normal distribution. For a small sample, assume that the population being sampled is normal.

For a large sample, the test statistic is the z-statistic.
For a small sample, the test statistic is the t statistic.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 7, Problem 7.108LM

Specify the differences between a large-sample and small-sample test of hypothesis about a population mean α Focus on the assumptions and test statistics.

Expert Solution

To determine

To explain: The difference between the large samples and small samples for the hypothesis about a population mean.

Explanation of Solution

The hypothesis test about a population mean for a larger sample does not require any assumption because the central limit theorem states that the test statistic approximately has a normal distribution. For a small sample, assume that the population being sampled is normal.

For a large sample, the test statistic is the z-statistic.
For a small sample, the test statistic is the t statistic.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 7, Problem 7.108LM

Specify the differences between a large-sample and small-sample test of hypothesis about a population mean α Focus on the assumptions and test statistics.

Expert Solution

To determine

To explain: The difference between the large samples and small samples for the hypothesis about a population mean.

Explanation of Solution

The hypothesis test about a population mean for a larger sample does not require any assumption because the central limit theorem states that the test statistic approximately has a normal distribution. For a small sample, assume that the population being sampled is normal.

For a large sample, the test statistic is the z-statistic.
For a small sample, the test statistic is the t statistic.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution

To determine

To explain: The difference between the large samples and small samples for the hypothesis about a population mean.

Explanation of Solution

The hypothesis test about a population mean for a larger sample does not require any assumption because the central limit theorem states that the test statistic approximately has a normal distribution. For a small sample, assume that the population being sampled is normal.

For a large sample, the test statistic is the z-statistic.
For a small sample, the test statistic is the t statistic.

Answer 8

Expert Solution

To determine

To explain: The difference between the large samples and small samples for the hypothesis about a population mean.

Explanation of Solution

The hypothesis test about a population mean for a larger sample does not require any assumption because the central limit theorem states that the test statistic approximately has a normal distribution. For a small sample, assume that the population being sampled is normal.

For a large sample, the test statistic is the z-statistic.
For a small sample, the test statistic is the t statistic.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

To explain: The difference between the large samples and small samples for the hypothesis about a population mean.

Answer 13

Explanation of Solution

The hypothesis test about a population mean for a larger sample does not require any assumption because the central limit theorem states that the test statistic approximately has a normal distribution. For a small sample, assume that the population being sampled is normal.

For a large sample, the test statistic is the z-statistic.
For a small sample, the test statistic is the t statistic.

Answer 14

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Specify the differences between a large-sample and small-sample test of hypothesis about a population mean α Focus on the assumptions and test statistics.

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