(A) Suppose in testing H0 : µ = 3 against H1 : µ > 3, the test statistics is t =

Question

(A) Suppose in testing
H0 : µ = 3 against H1 : µ > 3,
the test statistics is t = 2.776 and df=4. Calculate the p-value and decide if the null hypoth-
esis should be rejected at the 5% significance level.
(B) Suppose in testing
H0 : µ = 3 against H1 : µ 6= 3,
the test statistics is t = 2.776 and df=4. Calculate the p-value and decide if the null hypoth-
esis should be rejected at the 1% significance level.
(C) Suppose in testing
H0 : µ = 3 against H1 : µ < 3,
the test statistics is t = 2.776 and df=4. Calculate the p-value and decide if the null hy-
pothesis should be rejected at the 3% significance level.

Explanation / Answer

using software to calculate p value

a)

p value : 0.025011

since p value is lower than 0.05 we reject Ho

b)

p value : 0.050023.

since p value is greater than 0.01 we fail to reject Ho

c)

p value is .025011.

since p value is lower than 0.03 we reject Ho

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