Exam 13: Hypothesis Testing: Describing a Single Population

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In testing the hypotheses: H₀: ? = 950 H₁: ? $\neq$ $\neq$ 950, the following information was given: ? = 1000, $\alpha$ = 0.05, ? = 180 and n = 75. It was found that ? = 0.2061. a. Recalculate ? if n = 100. b. What is the effect of increasing the sample size on the value of ??

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Question 121

The power of a test refers to the probability of rejecting a false null hypothesis.

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Question 122

A random sample of 100 families in a large city revealed that on the average these families have been living in their current homes for 35 months. From previous analyses, we know that the population standard deviation is 30 months. Calculate the p-value.

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Question 123

In testing the hypotheses: $H _ { 0 } : \mu = 25$ $H _ { 1 } : \mu \neq 25$ , a random sample of 36 observations drawn from a normal population whose standard deviation is 10 produced a mean of 22.8. Compute the p-value.

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Question 124

If a null hypothesis is rejected at the 0.05 level of significance, it cannot be rejected at the 0.10 level.

(True/False)

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Question 125

An alternative or research hypothesis is an assertion that holds if the null hypothesis is false.

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Question 126

If the value of the sample mean $\bar { x }$ is close enough to the hypothesised value of the population mean $\mu$ , then:

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Question 127

In a two-tail test for the population mean, if the null hypothesis is rejected when the alternative hypothesis is false:

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Question 128

For a two-tail Z test, the null hypothesis will be rejected at the 0.05 level of significance if the value of the standardised test statistic is:

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Question 129

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In testing the hypotheses: H₀: ? = 950 H₁: ? $\neq$ $\neq$ 950, the following information was given: ? = 1000, $\alpha$ = 0.05, ? = 180 and n = 75. It was found that ? = 0.2061. a. Recalculate ? if n = 100. b. What is the effect of increasing the sample size on the value of ??

The power of a test refers to the probability of rejecting a false null hypothesis.

A random sample of 100 families in a large city revealed that on the average these families have been living in their current homes for 35 months. From previous analyses, we know that the population standard deviation is 30 months. Calculate the p-value.

In testing the hypotheses: $H _ { 0 } : \mu = 25$ $H _ { 1 } : \mu \neq 25$ , a random sample of 36 observations drawn from a normal population whose standard deviation is 10 produced a mean of 22.8. Compute the p-value.

If a null hypothesis is rejected at the 0.05 level of significance, it cannot be rejected at the 0.10 level.

An alternative or research hypothesis is an assertion that holds if the null hypothesis is false.

If the value of the sample mean $\bar { x }$ is close enough to the hypothesised value of the population mean $\mu$ , then:

In a two-tail test for the population mean, if the null hypothesis is rejected when the alternative hypothesis is false:

For a two-tail Z test, the null hypothesis will be rejected at the 0.05 level of significance if the value of the standardised test statistic is:

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Comparing Two Populations

Inference About Population Variances

Analysis of Variance

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

Filters

Exam 13: Hypothesis Testing: Describing a Single Population

In testing the hypotheses: H0 : ? = 950 H1 : ? ≠\neq=≠\neq= 950, the following information was given: ? = 1000, α\alphaα = 0.05, ? = 180 and n = 75. It was found that ? = 0.2061. a. Recalculate ? if n = 100. b. What is the effect of increasing the sample size on the value of ??

The power of a test refers to the probability of rejecting a false null hypothesis.

A random sample of 100 families in a large city revealed that on the average these families have been living in their current homes for 35 months. From previous analyses, we know that the population standard deviation is 30 months. Calculate the p-value.

In testing the hypotheses: H0:μ=25H _ { 0 } : \mu = 25H0​:μ=25 H1:μ≠25H _ { 1 } : \mu \neq 25H1​:μ=25 , a random sample of 36 observations drawn from a normal population whose standard deviation is 10 produced a mean of 22.8. Compute the p-value.

If a null hypothesis is rejected at the 0.05 level of significance, it cannot be rejected at the 0.10 level.

An alternative or research hypothesis is an assertion that holds if the null hypothesis is false.

If the value of the sample mean xˉ\bar { x }xˉ is close enough to the hypothesised value of the population mean μ\muμ , then:

In a two-tail test for the population mean, if the null hypothesis is rejected when the alternative hypothesis is false:

For a two-tail Z test, the null hypothesis will be rejected at the 0.05 level of significance if the value of the standardised test statistic is:

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Comparing Two Populations

Inference About Population Variances

Analysis of Variance

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

Filters

In testing the hypotheses: H₀: ? = 950 H₁: ? $\neq$ $\neq$ 950, the following information was given: ? = 1000, $\alpha$ = 0.05, ? = 180 and n = 75. It was found that ? = 0.2061. a. Recalculate ? if n = 100. b. What is the effect of increasing the sample size on the value of ??

In testing the hypotheses: $H _ { 0 } : \mu = 25$ $H _ { 1 } : \mu \neq 25$ , a random sample of 36 observations drawn from a normal population whose standard deviation is 10 produced a mean of 22.8. Compute the p-value.

If the value of the sample mean $\bar { x }$ is close enough to the hypothesised value of the population mean $\mu$ , then: