Consider the following hypothesis test.
H0: ? ? 12
Ha: ? > 12
A sample of 25 provided a sample mean
x = 14
and a sample standard deviation
s = 4.37.
(a)
Compute the value of the test statistic. (Round your answer tothree decimal places.)
(b)
Use the t distribution table to compute a range for thep-value.
p-value > 0.200
0.100 < p-value <0.200
0.050 < p-value < 0.100
0.025 < p-value < 0.050
0.010 < p-value < 0.025
p-value < 0.010
(c)
At
? = 0.05,
what is your conclusion?
Reject H0. There is sufficient evidence toconclude that ? > 12.
Do not reject H0. There is sufficientevidence to conclude that ? > 12.
Do not reject H0. There is insufficientevidence to conclude that ? > 12.
Reject H0. There is insufficient evidence toconclude that ? > 12.
(d)
What is the rejection rule using the critical value? (If thetest is one-tailed, enter NONE for the unused tail. Round youranswer to three decimal places.)
test statistic?
test statistic?
What is your conclusion?
Reject H0. There is sufficient evidence toconclude that ? > 12.
Do not reject H0. There is sufficientevidence to conclude that ? > 12.
Do not reject H0. There is insufficientevidence to conclude that ? > 12.
Reject H0. There is insufficient evidence toconclude that ? > 12.
