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Paired Samples t-test (30pts) Suppose you are interested in deciding if a particular diet is effective...

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Basic Math

Paired Samples t-test (30pts) Suppose you are interested indeciding if a particular diet is effective in changing people’sweight. You decide to run a “within subject” experiment. You select6 people and weight each of them. Two weeks, you weight them again.For each person you compute how much weight they lost over thisperiod. 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 twoweeks 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 differencedistribution (4pts)

c) How many degrees of freedom do you have? (3pts)

d) Assume the Null Hypothesis is True and compute thet-statistic (2-pts)

e) Compute the P-value (2pts)

f) At an alpha = 0.05 would you accept or reject the nullhypothesis? (3pts)

Please show work, thank you!

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