A simple random sample of 20 items resulted in a sample mean of 50 . The population standard deviation is . =10 a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place. ( , ) b. Assume that the same sample mean was obtained from a sample of 130 items. Provide a 95 %confidence interval for the population mean. Round your answers to two decimal places. ( , ) c. What is the effect of a larger sample size on the interval estimate? Larger sample provides a margin of error.

A simple random sample of 20 items resulted in a sample mean of 50 . The population standard deviation is . =10 a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place. ( , ) b. Assume that the same sample mean was obtained from a sample of 130 items. Provide a 95 %confidence interval for the population mean. Round your answers to two decimal places. ( , ) c. What is the effect of a larger sample size on the interval estimate? Larger sample provides a margin of error.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A simple random sample of 20 items resulted in a sample mean of 50 . The population standard deviation is . =10

a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place.
( , )

b. Assume that the same sample mean was obtained from a sample of 130 items. Provide a 95 %confidence interval for the population mean. Round your answers to two decimal places.
( , )

c. What is the effect of a larger sample size on the interval estimate?

Larger sample provides a

margin of error.

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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