A researcher conducts a study to determine whether spending time outdoors improves happiness. She randomly assigns 42 participants into two groups. One group serves as the control group, while the treatment group is scheduled for outdoor activities 4 days per week. The researcher measures the happiness of each participant and the data reveal the following at the conclusion of her study: Treatment Group: n = 21, M, = 8, SS = 9 Control Group: n = 21, M, = 6, SS = 7

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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A researcher conducts a study to determine whether spending time outdoors improves happiness. She
randomly assigns 42 participants into two groups. One group serves as the control group, while the
treatment group is scheduled for outdoor activities 4 days per week. The researcher measures the
happiness of each participant and the data reveal the following at the conclusion of her study:
Treatment Group: n= 21, M, = 8, SS = 9
Control Group: n= 21, M, = 6, SS = 7
What type of design is this study (single-sample, independent measures, repeated measures)
(a) State the null and alternate hypotheses
(b) Using an alpha level of .05 (a = .05), identify the critical values of t for a 2-tailed test
(c) Compute the standard error for this statistical analysis AND describe what this number tells you
specifically for this type of design
Transcribed Image Text:A researcher conducts a study to determine whether spending time outdoors improves happiness. She randomly assigns 42 participants into two groups. One group serves as the control group, while the treatment group is scheduled for outdoor activities 4 days per week. The researcher measures the happiness of each participant and the data reveal the following at the conclusion of her study: Treatment Group: n= 21, M, = 8, SS = 9 Control Group: n= 21, M, = 6, SS = 7 What type of design is this study (single-sample, independent measures, repeated measures) (a) State the null and alternate hypotheses (b) Using an alpha level of .05 (a = .05), identify the critical values of t for a 2-tailed test (c) Compute the standard error for this statistical analysis AND describe what this number tells you specifically for this type of design
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