Answered: Given two independent random samples…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

Given two independent random samples with the following results:

n1=10x‾1=161s1=26n1=10x‾1=161s1=26 n2=18x‾2=131s2=23n2=18x‾2=131s2=23

Use this data to find the 98%98% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.

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Find the point estimate that should be used in constructing the confidence interval.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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