Question

The test statistic value z = -2.22 of a z test for H 0 : μ = 0 versus H a : μ > 0. What is the P-value?

The test statistic value z = 2.22 of a z test for H 0 : μ = 0 versus H a : μ < 0. What is the P-value?

The test statistic value z = -2.22 of a z test for H 0 : μ = 0 versus H a : μ ≠ 0. What is the P-value?

For testing H 0 : μ = 0 versus H a : μ ≠ 0, the test statistic value t = 3.1 of a t test is obtained from a random sample of 7 measurements. What is the P-value?

For testing H 0 : μ = 0 versus H a : μ < 0, the test statistic value t = 3.1 of a t test is obtained from a random sample of 7 measurements. What is the P-value?

For testing H 0 : μ = 0 versus H a : μ > 0, the test statistic value t = -3.1 of a t test is obtained from a random sample of 7 measurements. What is the P-value?

Answer 1

1.  H 0 : μ = 0

H a : μ > 0

z = -2.22

  P-value = 0.0132

2.  H 0 : μ = 0

H a : μ < 0

z = 2.22

  P-value = 0.9868

3.  H 0 : μ = 0

H a : μ ≠ 0

z = -2.22

  P-value = 0.0264

4.  H 0 : μ = 0

H a : μ ≠ 0

t = 3.1

n = 7

d.f = n-1 = 7-1 =6

P-value = 0.0211

5.  H 0 : μ = 0

H a : μ < 0

t = 3.1

n = 7

d.f = n-1 = 7-1 =6

P-value = 0.0106

6.  H 0 : μ = 0

H a : μ > 0

t = -3.1

n = 7

d.f = n-1 = 7-1 =6

P-value = 0.9894