A company wants to estimate, at a 95% confidence level, the annual difference between male employees' average tardiness for work and female employees' average tardiness. For this, he randomly drew 12 from men and 10 from women. It was found that male employees' average annual tardiness time for work was 12 minutes and variance was 2 minutes, and female employees' average annual tardiness time to work was 10 minutes and variance was 3 minutes. Assuming that the population variances from which the samples are drawn are homogeneous, which of the following is the confidence interval estimate for the difference between these two population means?

A company wants to estimate, at a 95% confidence level, the annual difference between male employees' average tardiness for work and female employees' average tardiness. For this, he randomly drew 12 from men and 10 from women. It was found that male employees' average annual tardiness time for work was 12 minutes and variance was 2 minutes, and female employees' average annual tardiness time to work was 10 minutes and variance was 3 minutes. Assuming that the population variances from which the samples are drawn are homogeneous, which of the following is the confidence interval estimate for the difference between these two population means?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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A company wants to estimate, at a 95% confidence level, the annual difference between male employees' average tardiness for work and female employees' average tardiness. For this, he randomly drew 12 from men and 10 from women. It was found that male employees' average annual tardiness time for work was 12 minutes and variance was 2 minutes, and female employees' average annual tardiness time to work was 10 minutes and variance was 3 minutes. Assuming that the population variances from which the samples are drawn are homogeneous, which of the following is the confidence interval estimate for the difference between these two population means?

a)	(4.6 ; 7.4)

B)	(0.04 ; 1.18)

NS)	(2.1 ; 3.2)

D)	(0.6 ; 3.4)

TO)	(1.6 ; 2.4)

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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