a study of the effects of color on easing anxiety cpmpared anxiety test scores of prticipants who completed the test printed on either soft yellow paper or on harsh green paper.the scores for the five participants who cpmpleted the test on the green paper were 20, 26, 28, 21, and 18. the scores for four particiopants who completed the test on green paper were 20, 26, 17, and 24. using the .05 level, one-tailed (predicting lower anxiety scores for the yellow paper), what should the researcher colclude?  a. use the steps of hypothesis testing

Question
Asked Oct 23, 2019

a study of the effects of color on easing anxiety cpmpared anxiety test scores of prticipants who completed the test printed on either soft yellow paper or on harsh green paper.the scores for the five participants who cpmpleted the test on the green paper were 20, 26, 28, 21, and 18. the scores for four particiopants who completed the test on green paper were 20, 26, 17, and 24. using the .05 level, one-tailed (predicting lower anxiety scores for the yellow paper), what should the researcher colclude?  a. use the steps of hypothesis testing

check_circle

Expert Answer

Step 1

Note:

In question values of scores are given for green paper only. We have considered the second set of scores for yellow and have done further calculations.

Step 2

It is assumed that samples are drawn from the normal population. The population standard deviations are unknown. Thus, we can use t- test for difference in means.

The null and alternative hypotheses are stated below:

It is assumed that samples are drawn from the normal population. The population standard
deviations are unknown. Thus, we can use t- test for difference in means
The null and altemative hypotheses are stated below:
Ho 42
Here, 4i the mean anxiety scores for yellow paper
is the mean anxiety scores for green paper
help_outline

Image Transcriptionclose

It is assumed that samples are drawn from the normal population. The population standard deviations are unknown. Thus, we can use t- test for difference in means The null and altemative hypotheses are stated below: Ho 42 Here, 4i the mean anxiety scores for yellow paper is the mean anxiety scores for green paper

fullscreen
Step 3

Step-by-step procedure to obtain the test statistic using Excel software:

  • First enter the values of green and yellow score into the columns of A and B.
  • Select Data option.
  • Go to Data analysis and click on t-test of two samples with unequal variances.
  • Click on
  • Select the ranges of green and yellow.
  • Choose hy...
t-Test: Two-Sample Assuming Unequal Variances
yellow
Green
Mean
21.75
22.6
17.8
Variance
16.25
Observations
4
5
Hypothesized Mean Difference
0
df
t Stat
-0.307872012
P(T<=t) one-tail
0.383569213
t Critical one-tail
1.894578605
P(T<=t) two-tail
0.767138425
t Critical two-tail
2.364624252
From the above output, the p-value is 0.3836 and t-test statistic is -0.3079
Step4
help_outline

Image Transcriptionclose

t-Test: Two-Sample Assuming Unequal Variances yellow Green Mean 21.75 22.6 17.8 Variance 16.25 Observations 4 5 Hypothesized Mean Difference 0 df t Stat -0.307872012 P(T<=t) one-tail 0.383569213 t Critical one-tail 1.894578605 P(T<=t) two-tail 0.767138425 t Critical two-tail 2.364624252 From the above output, the p-value is 0.3836 and t-test statistic is -0.3079 Step4

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: the value used in the equation for the t-test for independent means that approximates the sample siz...

A: In order to compute the test statistic, it is appropriate to approximate the sample size by calculat...

question_answer

Q: Can you answer questions (d), (e), and (f)?

A: d) Line of best of the data:The line that best fits the data is least-squares regression line.The pr...

question_answer

Q: figure Sdifference for each ot the following studies (only a, b, and c)

A: a)The value of s2pooled is shown below:

question_answer

Q: It is estimated that 40% of clowns like scaring children. A sample of 15 clowns are indicted. Assumi...

A: Given dataProbability that clowns like scaring children i.e. p = 0.40No of clowns i.e. n = 15probabi...

question_answer

Q: In an​ experiment, college students were given either four quarters or a​ $1 bill and they could eit...

A: From the given information,

question_answer

Q: The population standard deviation (σ) is necessary for conducting a ___________. A One-sample t -tes...

A: A z-test is defined as a statistical procedure that is used to determine whether the sample mean dif...

question_answer

Q: Problem 17 c-d

A: For given question no.17 subpart c and d, we need to write conclusion in c-part based on p-value. 

question_answer

Q: Suppose that the probability that a child living in an urban area in the US is obese is 20%. A socia...

A: Given:Number of children living in an urban area (n)=10Probability(P)=0.20Explanation:Let’s x is num...

question_answer

Q: ​If other factors are held constant, how does sample variance influence the likelihood of rejecting ...

A: It is given that r2 and cohen’s d.