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In: Math
Paired Samples t-test (30pts) Suppose you are interested in deciding if a particular diet is effective...
Paired Samples t-test (30pts) Suppose you are interested in deciding if a particular diet is effective in changing people’s weight. You decide to run a “within subject” experiment. You select 6 people and weight each of them. Two weeks, you weight them again. For each person you compute how much weight they lost over this period. This is what you find: Non-diet(subject 1-6): 0 7 3 2 -10 -1
You then put them on the diet and weigh them again after two weeks and compute how much they lost over this period. Diet
(subject 1-6) : 1 6 4 3 -8 2
a) State the null and alternative hypotheses (2pts)
b) Compute the mean and standard deviation of the difference distribution (4pts)
c) How many degrees of freedom do you have? (3pts)
d) Assume the Null Hypothesis is True and compute the t-statistic (2-pts)
e) Compute the P-value (2pts)
f) At an alpha = 0.05 would you accept or reject the null hypothesis? (3pts)
Please show work, thank you!
Solutions
milcah answered 3 months agoRelated Solutions
Paired Samples t-test (30pts)Suppose you are interested in deciding if a particular diet is effective in...
Paired Samples t-test (30pts)Suppose you are
interested in deciding if a particular diet is effective in
changing people’s weight. You decide to run a “within subject”
experiment. You select 6 people and weight each of them. Two weeks,
you weight them again. For each person, you compute how much weight
they lost over this period. This is what you find:Non-diet(subject
1-6): 0,8,3,2,-10,-1.You then put them on the diet and weigh them
again after two weeks and compute how much they...
Paired Samples t-test (30pts)Suppose you are interested in deciding if a particular diet is effective in...
Paired Samples t-test (30pts)Suppose you are
interested in deciding if a particular diet is effective in
changing people’s weight. You decide to run a “within subject”
experiment. You select 6 people and weight each of them. Two weeks,
you weight them again. For each person, you compute how much weight
they lost over this period. This is what you find:Non-diet(subject
1-6): 0,8,3,2,-10,-1.You then put them on the diet and weigh them
again after two weeks and compute how much they...
1. Identify which test the scenario will use: independent samples t test, paired samples t test,...
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Paired Samples
t-TEST
Statistics Competency
Pretest
Posttest
65
85
43
99
96
90
69
87
9
65
56
66
32
73
87
99
88
90
75
80
100
80
85
99
88
89
35
90
100
88
75
89
99
90
77
89
90...
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a....
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