Question

In: Statistics and Probability

\ 15. A researcher interested in eating behavior wants to determine if thriller movies cause people...

\

15. A researcher interested in eating behavior wants to determine if thriller movies cause people to eat more M&Ms than musicals. The researcher randomly assigns 10 participants to a group that watches a scary movie (Get Out) and another 10 participants to a group that watches a musical (Cats). At the beginning of the movie, you give each participant a box of 15 M&Ms and tell each person not to share their M&Ms with anyone. At the end of the movie, you measure the number of M&Ms eaten by each participant. The data are shown below. Based on the results of this t-test, state the conclusions about the difference between the number of M&Ms eaten by subjects viewing a thriller movie versus a musical. Identify your research hypothesis (18 pts).

Get Out (Thriller) Cats (Musical) XY

13 2 11 8 97 84 75 12 61 88

Solutions

Expert Solution

The calculations are given below

d s1=(d-dbar)^2
13 1030.41
2 1857.61
11 1162.81
8 1376.41
97 2693.61
84 1513.21
75 894.01
12 1095.61
61 252.81
88 1840.41
dbar=sum(d)/10 variance=sum(s1)/9
45.1 1524.1
sd=sqrt(variance)
39.0397

The r-code sfor reference

> d=c(13, 2, 11, 8, 97, 84, 75, 12, 61, 88)
> t.test(d,mu=0,)

   One Sample t-test

data: d
t = 3.6532, df = 9, p-value = 0.002646
alternative hypothesis: true mean is greater than 0
95 percent confidence interval:
22.46941 Inf
sample estimates:
mean of x
45.1


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