Consider the following hypotheses:
H0: μ = 3,800
HA: μ ≠ 3,800
The population is normally distributed with a population standard deviation of 590. 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.)
a. x̄ = 3,900; n = 130
b. x̄ = 3,900; n = 260
c. x̄ = 3,640; n = 36
d. x̄ = 3,720; n = 36