A study of the effects of color on reducing anxiety compared anxiety test scores of participants who completed the test printed on either soft yellow paper or on harsh green paper. The scores for five participants who completed the test printed on the yellow paper were 17, 19, 28, 21, and 18. The scores for four participants who completed the test on the 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 conclude?

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Asked Nov 18, 2019
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A study of the effects of color on reducing anxiety compared anxiety test scores of participants who completed the test printed on either soft yellow paper or on harsh green paper. The scores for five participants who completed the test printed on the yellow paper were 17, 19, 28, 21, and 18. The scores for four participants who completed the test on the 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 conclude?

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Expert Answer

Step 1

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 appropriate null and alternative hypotheses are stated below:

Ha
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Ha

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Step 2

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

  • In Excel sheet, enter Yellow paper scores and Green paper scores in different columns.
  • In Data, select Data Analysis and Choose t-Test: Two-Sample Assuming Unequal Variances.
  • In Input Range, select Yellow paper scores time and Green paper scores, and click Labels in First Ro...
t-Test: Two-Sample Assuming Unequal Variances
Yellow paper scores
Green paper scores
20.6
21.75
Mean
Variance
19.3
16.25
Observations
Hypothesized Mean Difference
df
7
-0.408570227
t Stat
P (T< t) one-tail
0.347532359
t Critical one-tail
1.894578605
P (T< t) two-tail
t critical two-tail
0.695064718
2.364624252
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t-Test: Two-Sample Assuming Unequal Variances Yellow paper scores Green paper scores 20.6 21.75 Mean Variance 19.3 16.25 Observations Hypothesized Mean Difference df 7 -0.408570227 t Stat P (T< t) one-tail 0.347532359 t Critical one-tail 1.894578605 P (T< t) two-tail t critical two-tail 0.695064718 2.364624252

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