2. A random sample of 85 group leaders, supervisors, and similar personalrevealed that a person spent an average 6.5 years on the job before beingpromoted. The population standard deviation was 1.7 years. Construct a 95%confidence interval estimate for the population mean.

Answered: 2. A random sample of 85 group leaders,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

2. A random sample of 85 group leaders, supervisors, and similar personal
revealed that a person spent an average 6.5 years on the job before being
promoted. The population standard deviation was 1.7 years. Construct a 95%
confidence interval estimate for the population mean.

Expert Solution

Step 1

Introduction:

The approach to determining the population distribution average is by utilizing a confidence interval for the average. A confidence interval offers both lower measurements and an upper approximation instead of just the mean.. n the given scenario, the promotion duration of people in their jobs was given. The average duration before being promoted to a senior position employee was 6.5. The population standard deviation of the promotion was 1.7 years. We need to find a 95% confidence interval for the given scenario. The given details are:

$\begin{array}{rcl} S a m p l e m e a n (x) & = & 6.5 y e a r s \\ P o p u l a t i o n s \tan d a r d d e v i a t i o n (σ) & = & 1.7 \\ S a m p l e s i z e (n) & = & 85 \\ c o n f i d e n c e l e v e l (C) & = & 95 % o r 0.95 \end{array}$