A sleep researcher is interested in learning about how to help people fall asleep faster at night without taking medicine. She asks n = 13 individuals to wear a device to bed for two weeks straight. Half of the participants were asked to spray their pillows with a lavender mist for the first week then sleep with a regular "unscented" pillow for the second week. The other half of the participants were asked to do the same thing, but in the opposite order: unscented pillow then lavender misted pillow. Testing at an alpha level of a = .01, she expects the lavender scented pillow to decrease the amount of time it takes people to fall asleep. State the Hypotheses Subject Ho: H₂₁: Mp 2 3 1 360 sec 420 sec 480 sec 420 sec 420 sec 480 sec 480 sec 360 sec 360 sec 420 sec 4 5 5 6 7 8 9 10 10 11 12 13 Determine the critical region and draw it on the distribution above: 420 sec 420 sec 420 sec ,feritical Calculate the test statistic using the following sample data below: Regular Lavender Pillow Pillow 238 sec 280 sec 240 sec 246 sec 342 sec 449 sec 352 sec 214 sec 212 sec 319 sec 347 se 335 sec 351 sec , SS= Make a decision. D D Circle one: Reject Null (Ho) SM₂ or lobs Fail to Reject Null (Ho) State your conclusions about the research scenario in sentence form: What is the estimated effect size (Cohen's d) in this study? Do you characterize it as being small, medium or large? Calculate an effect size in terms of the variance account for (²)? Do you characterize it as being small, medium or large? Calculate a 99 % confidence interval for the Anhedonia data: Lower Limit of 99% CI: Upper Limit of 99% CI:

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A sleep researcher is interested in learning about how to help people fall asleep faster at night without
taking medicine. She asks n = 13 individuals to wear a device to bed for two weeks straight. Half of the
participants were asked to spray their pillows with a lavender mist for the first week then sleep with a
regular "unscented" pillow for the second week. The other half of the participants were asked to do the
same thing, but in the opposite order: unscented pillow then lavender misted pillow.
Testing at an alpha level of a = .01, she expects the lavender scented pillow to decrease the amount of time
it takes people to fall asleep.
State the Hypotheses
2
3
4
5
Ho:
Subject
6
7
H₁:
8
9
10
11
12
13
MD=
=
Determine the critical region and draw it on the distribution above:
Calculate the test statistic using the following sample data below:
360 sec
420 sec
480 sec
tcritical =
Regular Lavender
Pillow
Pillow
420 sec
420 sec
480 sec
480 sec
360 sec
360 sec
420 sec
420 sec
420 sec
420 sec
238 sec
280 sec
240 sec
246 sec
342 sec
449 sec
352 sec
214 sec
212 sec
319 sec
347 sec
335 sec
351 sec
SS=
Make a decision.
D
D²
Circle one: Reject Null (Ho)
SMD
or
tobs
Fail to Reject Null (Ho)
State your conclusions about the research scenario in sentence form:
What is the estimated effect size (Cohen's d) in this study? Do you characterize it as being small, medium or
large?
d=
Calculate an effect size in terms of the variance account for (r²)? Do you characterize it as being small,
medium or large?
Calculate a 99% confidence interval for the Anhedonia data:
Lower Limit of 99% CI:
Upper Limit of 99% CI:
Transcribed Image Text:A sleep researcher is interested in learning about how to help people fall asleep faster at night without taking medicine. She asks n = 13 individuals to wear a device to bed for two weeks straight. Half of the participants were asked to spray their pillows with a lavender mist for the first week then sleep with a regular "unscented" pillow for the second week. The other half of the participants were asked to do the same thing, but in the opposite order: unscented pillow then lavender misted pillow. Testing at an alpha level of a = .01, she expects the lavender scented pillow to decrease the amount of time it takes people to fall asleep. State the Hypotheses 2 3 4 5 Ho: Subject 6 7 H₁: 8 9 10 11 12 13 MD= = Determine the critical region and draw it on the distribution above: Calculate the test statistic using the following sample data below: 360 sec 420 sec 480 sec tcritical = Regular Lavender Pillow Pillow 420 sec 420 sec 480 sec 480 sec 360 sec 360 sec 420 sec 420 sec 420 sec 420 sec 238 sec 280 sec 240 sec 246 sec 342 sec 449 sec 352 sec 214 sec 212 sec 319 sec 347 sec 335 sec 351 sec SS= Make a decision. D D² Circle one: Reject Null (Ho) SMD or tobs Fail to Reject Null (Ho) State your conclusions about the research scenario in sentence form: What is the estimated effect size (Cohen's d) in this study? Do you characterize it as being small, medium or large? d= Calculate an effect size in terms of the variance account for (r²)? Do you characterize it as being small, medium or large? Calculate a 99% confidence interval for the Anhedonia data: Lower Limit of 99% CI: Upper Limit of 99% CI:
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