Question

A researcher wishes to study whether classical music has any effect on the ability to memorize information. A random sample of 58 adults were given a memory test in a quiet room. Then they were given a second memory test while listening to classical music. On the second test, 37 people received a higher score, 17 received a lower score, and 4 received the same score. A sign test at the 0.10 significance level will be used to test the claim that the music has no effect on memorization ability. Round your answers to 3 places after the decimal point, if necessary. (a) What is the value of the test statistic used in this sign test? Test statistic's value: (b) Give the value(s) of the critical value(s) used in this sign test. If there are two critical values, enter them both with a comma between them. Critical value(s):

          A researcher wishes to study whether classical music has any
effect on the ability to memorize information. A random sample
of 58 adults were given a memory test in a quiet room.
Then they were given a second memory test while listening to
classical music. On the second test, 37 people received a
higher score, 17 received a lower score, and 4 received
the same score. A sign test at the 0.10 significance level
will be used to test the claim that the music has no effect on
memorization ability.
Round your answers to 3 places after the decimal
point, if necessary.
(a) What is the value of the test
statistic used in this sign test? 
     Test statistic's value: 
(b) Give the value(s) of the critical value(s) used in this
sign test.  If there are two critical values, enter them both
with a comma between them.
     Critical value(s):

Show more…

Added by Eva C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Rabia Shuaib

02/22/2022

Step 1

5 - \frac{n}{2}}{\sqrt{\frac{n}{2}}}\), where \(X = 17\), \(n = 54\). Substitute the values: \(Z = \frac{17 + 0.5 - \frac{54}{2}}{\sqrt{\frac{54}{2}}}\) \(Z = \frac{17.5 - 27}{\sqrt{27}}\) \(Z = \frac{-9.5}{5.196}\) \(Z = -1.829\) Show more…

Show all steps

lock

Thanks for your feedback!

A researcher wishes to study whether classical music has any effect on the ability to memorize information. A random sample of 58 adults were given a memory test in a quiet room. Then they were given a second memory test while listening to classical music. On the second test, 37 people received a higher score, 17 received a lower score, and 4 received the same score. A sign test at the 0.10 significance level will be used to test the claim that the music has no effect on memorization ability. Round your answers to 3 places after the decimal point, if necessary. (a) What is the value of the test statistic used in this sign test? Test statistic's value: (b) Give the value(s) of the critical value(s) used in this sign test. If there are two critical values, enter them both with a comma between them. Critical value(s):

Play audio

Feedback

Powered by NumerAI

Rabia Shuaib and 59 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:01 Hello everyone, so let's do the statistics problem, but before i get started, i recommend that you do the question yourself and come back to see if you got it right or not.

00:10 So hopefully you've done the question yourself and i'll also work on it together.

00:13 So we have a researcher that wants to study if classical music has an effect on the ability to memorize information.

00:20 So we're given a random sample.

00:21 So we have an already of 58 students or adults and they're given a memory test in a quiet room.

00:29 So we have a certain group listening to a memory test while listening to classic music and then another.

00:38 And we compare the scores.

00:41 So we have 37 people received a higher score, 17 received a lower score, and 4 received the same score.

00:49 We have the sign test.

00:51 It happens at a level of significance of 0 .1.

00:56 So our alpha here is 0 .1.

01:00 Then we have, it will be used to test the claim that music has no effect on the memorization ability.

01:08 And what we want to do is find the test statistic and the critical value.

01:12 So the way that we do that is that we're going to first ignore the four adults that have the same score because that wouldn't have any impact on our test.

01:23 So what we're going to do is the 37.

01:27 Adults that received a higher score.

01:30 We're going to write them as x plus equal 37.

01:35 Okay...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later