Exam 10: Sampling Distributions

A local newspaper sells an average of 2100 papers per day, with a standard deviation of 500 papers. Consider a sample of 60 days of operation. a. What is the shape of the sampling distribution of the sample mean number of papers sold per day? Why? b. Find the expected value and the standard error of the sample mean. c. What is the probability that the sample mean will be between 2000 and 2300 papers?

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Question 61

The sampling distribution of the sample proportion is always normally distributed.

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Question 62

Using the following sampling distribution, directly recalculate the mean and standard deviation of $\bar { X }$ . 1.5 2.0 2.5 3.0 3.5 p() 1/6 1/6 1/6 1/6 1/6

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Question 63

A sample of 50 observations is drawn at random from a normal population whose mean and standard deviation are 75 and 6, respectively. a. What does the central limit theorem say about the sampling distribution of the sample mean? Why? b. Find the mean and standard error of the sampling distribution of the sample mean. c. Find P( $\bar { X }$ > 73). d. Find P( $\bar { X }$ < 74).

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Question 64

The standard deviation of the sampling distribution of the sample mean is also called the:

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Question 65

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The sampling distribution of the sample proportion is always normally distributed.

Using the following sampling distribution, directly recalculate the mean and standard deviation of $\bar { X }$ . 1.5 2.0 2.5 3.0 3.5 p() 1/6 1/6 1/6 1/6 1/6

The standard deviation of the sampling distribution of the sample mean is also called the:

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

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

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 10: Sampling Distributions

The sampling distribution of the sample proportion is always normally distributed.

Using the following sampling distribution, directly recalculate the mean and standard deviation of Xˉ\bar { X }Xˉ . 1.5 2.0 2.5 3.0 3.5 p() 1/6 1/6 1/6 1/6 1/6

The standard deviation of the sampling distribution of the sample mean is also called the:

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

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

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

Using the following sampling distribution, directly recalculate the mean and standard deviation of $\bar { X }$ . 1.5 2.0 2.5 3.0 3.5 p() 1/6 1/6 1/6 1/6 1/6