Test of claim for the statement made for a given paired sample
assume 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

61

71

57

84

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 s_{d}=
(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 percent confidence interval for the population mean of all differences x  y.