Answered: A researcher tests whether listening to…

Name: A researcher tests whether listening to music while taking an exam has
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A researcher tests whether listening to music while taking an exam has any effect. The population mean of people taking an exam while not listening to music is 50, with a standard deviation of 12. The researcher tests a sample of 57 people who listen

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 researcher tests whether listening to music while taking an exam has any effect. The population mean of people taking an exam while not listening to music is 50, with a standard deviation of 12. The researcher tests a sample of 57 people who listen to music while taking an exam and they produce a mean of 54.36.

1. State the null and research hypotheses.

2. . Calculate the z STATISTIC:

3. Using a two tailed test with a p value of .05, the critical value is -1.96 and 1.96. Make a decision about your hypothesis.

Expert Solution

Step 1

Answer:

The given values are

$μ$ = 50

$σ$ = 12

n = 57

$X$ = 54.36

The Hypothesis are

$H_{0} : μ = 50 H_{1} : μ \neq 50$

Test statistic

Z = $\frac{X - μ}{σ / \sqrt{n}}$

Z = $\frac{54.36 - 50}{12 / \sqrt{57}}$

Z = 2.74

The critical value is Z₀= $\pm 1.96$

By using p value table of normal distribution for z=2.74

P value =0.0061

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

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