Q.8.1 Suppose we have data from a samp... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 8: Q.8.1 (page 446)

Suppose we have data from a sample. The sample mean is $15$ , and the error bound for the mean is $3.2$ . What is the confidence interval estimate for the population mean?

Short Answer

Expert verified

The confidence interval estimate for the population mean is ( $11.8, 18.2$ )

Step by step solution

Given Information

Given in the question that,

sample mean = $15$

error bound for the mean = $3.2$

Step 2: Explanation

If $\bar{x}$ is the sample mean of a random sample of size n from a normal population with known variance, a Cl (confidence interval) on $渭$ is given by

$\overset{炉}{x} 鈭� E B M 鈮� 渭鈮� \overset{炉}{x} + E B M$ (1)

where EBM is the error bound for a population mean. We know that the sample mean is $15$ and the error bound for the mean is $3.2$ . Therefore $\overset{炉}{x} = 15 and E B M = 3.2$

So,from equation (1) we get

$15 鈭� 3.2 鈮� 渭鈮� 15 + 3.2$

The confidence interval estimate for the population mean is ( $11.8, 18.2$ ). We say, "We estimate with $90$ % confidence that the true value of the population mean is between $11.8$ and $18.2$ ," if the confidence level is $90$ % . $\overset{炉}{x} 鈭� E B M 鈮� 渭鈮� \overset{炉}{x} + E B M$

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91影视

Suppose we have data from a sample. The sample mean is $15$ , and the error bound for the mean is $3.2$ . What is the confidence interval estimate for the population mean?

Short Answer

Step by step solution

Given Information

Step 2: Explanation

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91影视

Suppose we have data from a sample. The sample mean is 15, and the error bound for the mean is 3.2. What is the confidence interval estimate for the population mean?

Short Answer

Step by step solution

Given Information

Step 2: Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Mechanics Maths

Pure Maths

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Suppose we have data from a sample. The sample mean is $15$ , and the error bound for the mean is $3.2$ . What is the confidence interval estimate for the population mean?