In: Statistics and Probability
9-9 Consider the following hypotheses:
H0: μ = 5,000
HA: μ ≠ 5,000
The population is normally distributed with a population standard
deviation of 690. 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− = 5,160; n = 115 | (Click to select) Do not reject H0 Reject H0 | ||
b. | x−x− = 5,160; n = 215 | (Click to select) Reject H0 Do not reject H0 | ||
c. | x−x− = 4,700; n = 42 | (Click to select) Reject H0 Do not reject H0 | ||
d. | x−x− = 4,780; n = 42 | (Click to select) Do not reject H0 Reject H0 | ||