Question

Consider the following hypothesis test. Given that n = 84, σ = 8, x = 49.9, and α = 0.01, complete parts a through d below.
H0: μ ≤ 47
HA: μ > 47
a. State the decision rule in terms of the critical value(s) of the test statistic.
Reject the null hypothesis if the calculated value of the test statistic, (1)_________ is (2)______________ the critical
value(s),____________ . Otherwise, do not reject the null hypothesis.
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
b. State the calculated value of the test statistic.
(3)______________ = ______________(Round to two decimal places as needed.)
c. State the appropriate p-value.
p-value = ____________(Round to three decimal places as needed.)
d. State the conclusion.
(4)_________________ the null hypothesis. There (5)________________ sufficient evidence at α = 0.01 to conclude the population mean (6)_____________ 47.

(1) t,
z,

(2) equal to
less than
not contained within
greater than
(3) z
t
(4) Reject
Do not reject
(5) is
is not
(6) is greater than
does not equal
is less than
is equal

Answer 1