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Suppose you want to test the claim the paired sample data given below come from a population for which the mean difference is µd = 0.
x
78
53
72
63
61
59
55
y
89
80
73
85
Use a 0.01 significance level to find the following:
a) The mean value of the differences d for the paired sample data = _____________
b) The standard deviation of the differences d for the paired sample data sd = ____________
c) The t test statistic t = ____________
d) The positive critical value t = ____________
e) The negative critical value t = ____________
f) Does the test statistic fall in the critical region?
g) Construct a 99% confidence interval for the population mean of all differences x - y.
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