Answered: In October, the campus bookstore asked…

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

Concept explainers

Question

In October, the campus bookstore asked a random set of freshmen and seniors how much they had spent on textbooks that semester. The bookstore believes that the two groups spent the same amount. What is an appropriate test value for a z test?

Freshmen
Seniors
Sample size
40
40
Sample mean
$440
$450
Population std. dev.
$57
$68

Expert Solution

Step 1

Hypothesis Testing:

The value of the sample size is more than 30 and the aim is to compare the means of the 2 sample so Z-Test is preferrable.

Two Sample Z-test:

Z score= $\frac{(\bar{x_{1}} - \bar{x_{2}}) - (μ_{1} - μ_{2})}{\sqrt{\frac{σ_{1}^{2}}{n_{1}} + \frac{σ_{2}^{2}}{n_{2}}}}$

where, $\bar{x_{1}}, \bar{x_{2}} a r e t h e s a m p l e m e a n s, μ_{1}, μ_{2} a r e t h e p o p u l a t i o n m e a n s, σ_{1}, σ_{2} a r e t h e P o p u l a t i o n s \tan d a r d d e v i a t i o n s, n_{1}, n_{2} a r e t h e s a m p l e s i z e s .$

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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