Question

Consider the following hypotheses: H0: μ = 1,800 HA: μ ≠ 1,800 The population is normally distributed with a population standard deviation of 440. 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. x̄ = 1,850; n = 110 Reject H0 Do not reject H0 b. x̄ = 1,850; n = 280 Reject H0 Do not reject H0 c. x̄ = 1,650; n = 32 Reject H0 Do not reject H0 d. x̄ = 1,700; n = 32 Reject H0 Do not reject H0

          Consider the following hypotheses:
H0: μ = 1,800
HA: μ ≠ 1,800

The population is normally distributed with a population standard deviation of 440. 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.
x̄ = 1,850; n = 110
Reject H0 Do not reject H0

b.
x̄ = 1,850; n = 280
Reject H0 Do not reject H0

c.
x̄ = 1,650; n = 32
Reject H0 Do not reject H0

d.
x̄ = 1,700; n = 32
Reject H0 Do not reject H0

Added by Gerald F.

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