Question

In: Statistics and Probability

There is an urban legend that mothers have increased sensitivity to and awareness of noises, in...

There is an urban legend that mothers have increased sensitivity to and awareness of noises, in particular to that of children. A social psychologist finds support for the legend in the literature and now wants to confirm it. The psychologist designs a study where he recruits women that think they are going to participate in a sleep experiment where they will evaluate the comfort of different mattresses overnight. While the women slept, the psychologist introduces noises to test the minimum volume needed for the women to be awakened by the noise. The wake-up decibel data are below. What can be concluded with α = 0.10?

mother non-mother
63
58
52
73
57
68
62

41
33
34
39
41
67
40

b)
Condition 1: (choose one)
1) non-mother 2) sleep experiment 3) decibels 4) women 5) mother
Condition 2: (choose one)
1) non-mother 2) sleep experiment 3) decibels 4) women 5) mother

c) Input the appropriate value(s) to make a decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
p-value =_________________________ ; Decision: Reject H0 or Fail to reject H0

d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =___________ ; ( choose one) 1.) trivial effect 2) small effect 3) medium effect 4) large effect
r2 = ___________ ; ( Choose one) 1.) trivial effect 2) small effect 3) medium effect 4) large effect

Solutions

Expert Solution

Condition 1: Mother

Condition 2: Non-mother

df = n1 + n2 - 2

= 12

p-value = 0.9989 > 0.05 i.e. we fail to reject H0.

Since it is > 0.8 i.e. large effect.

r2 = 0.2398 > 0.2 i.e. medium effect.

Please upvote if you have liked my answer, would be of great help. Thank you.


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