Question

Consider the following hypotheses:

H₀: μ = 3,900
H_A: μ ≠ 3,900

The population is normally distributed with a population standard deviation of 510. Compute the value of the test statistic and the resulting p-value for each of the following sample results. For each sample, determine if you can "reject/do not reject" the null hypothesis at the 10% significance level. (You may find it useful to reference the appropriate table: z table or t table) (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round "test statistic" values to 2 decimal places and "p-value" to 4 decimal places.)

		Test statistic	p-value
a.	x−x− = 3,960; n = 100			(Click to select)  Reject H0  Do not reject H0
b.	x−x− = 3,960; n = 260			(Click to select)  Reject H0  Do not reject H0
c.	x−x− = 3,730; n = 33			(Click to select)  Reject H0  Do not reject H0
d.	x−x− = 3,820; n = 33			(Click to select)  Reject H0  Do not reject H0

Answer 1

The statistic software output for this problem is:

(a)

Test statistics = 1.18

P-value = 0.2394

Do not reject H0

b)

Test statistics = 1.90

P-value = 0.0578

Reject H0

c)

Test statistics = -1.94

P-value = 0.0555

Reject H0

d)

Test statistics = -0.90

P-value = 0.3675

Do not reject H0