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Test of claim for the statement made for a given paired sample:
Suppose you want to test the claim the paired sample data given below come from a population for which the mean difference is mean d = 0.
50
80
84
61
59
82
71
57
93
81
94
60
Use a 0.05 significance level to find the following:
(a) The mean value of the differences d for the paired sample data d=
(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
(f) Does the test statistic fall in the critical region?
A. No B. Yes
(g) Construct a 95% confidence interval for the population mean of all differences x - y.
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At the .05 significance level, can we conclude that the guideline is still reasonable?
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