Answered: A sample mean, sample size,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) below.

x=35,

n=27,

σ=5

confidence level=90%

a. Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn.

The confidence interval is from _______ to _________.

(Type integers or decimals rounded to one decimal place as needed.)

b. Obtain the margin of error by taking half the length of the confidence interval.

What is the length of the confidence interval?

____________

(Type an integer or decimal rounded to one decimal place as needed.)

c. Obtain the margin of error by using the formula

E=zα2•σn.

Identify the critical value.

zα2=____________

(Type an integer or decimal rounded to two decimal places as needed.)

What is the margin of error obtained using the methods of parts (b) and(c)?

_________

(Type an integer or decimal rounded to one decimal place as needed.)

Expert Solution

Step 1

From the given information, the sample mean is 35, standard deviation is 5 and sample size is 27.

Critical value:

From the standard normal distribution table, for the 90% confidence level the critical values is (z*) 1.645.

Step 2

The confidence interval formula for the population mean is,

Substitute mean = 35, standard deviation (σ) is 5 and sample size (n) = 27.

Thus, the confidence interval is from 33.4 to 36.6.

Step by step

Solved in 3 steps with 3 images

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions