Hypothesis testing-matched pairs

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Reference no: EM1312718

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

55

59

63

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?

  • Yes
  • No

g) Construct a 99% confidence interval for the population mean of all differences x - y.

Reference no: EM1312718

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