A manager of a pizza restaurant has changed the​ restaurant's delivery process in an effort to reduce the mean time betw

[answerhappygod]

A manager of a pizza restaurant has changed the​
restaurant's delivery process in an effort to reduce the mean time
between the order and completion of delivery from the
current
30 minutes. A sample of
49 orders using the new delivery process yields a sample
mean of
27.3 minutes and a sample standard deviation
of
6 minutes. Complete parts​ (a) through​ (d)
below.
Question content area bottom
Part 1
a. Using the critical value​ approach, at
the
0.01 level of​ significance, is there evidence that the
population mean delivery time has been reduced below the previous
population mean value of
30 ​minutes?
State the null and alternative hypotheses for this
test.
A.
H0: μ>30
H1: μ≤30
B.
H0: μ<30
H1: μ≥30
C.
H0: μ≥27.3
H1: μ<27.3
D.
H0: μ≥30
H1: μ<30
E.
H0: μ≤27.3
H1: μ>27.3
F.
H0: μ≤30
H1: μ>30
Part 2
What is the test statistic for this​ test?
tSTAT =
enter your response here
​(Type an integer or a decimal. Round to two decimal
places as​ needed.)
Part 3
What​ is(are) the critical​ value(s) for this​
test?
enter your response here
​(Type an integer or a decimal. Round to two decimal
places as needed. Use commas to separate your answers as​
needed.)
Part 4
What is the conclusion for this​ test?
Since the test statistic is
▼
greater
less
than the critical​ value,
▼
do not reject
reject
the null hypothesis and conclude that there
is
▼
insufficient
sufficient
evidence that the population mean delivery time has been
reduced below the previous population mean value of
30 minutes.
Part 5
b. Using the​ p-value approach, at the
0.01 level of​ significance, is there evidence that the
population mean delivery time has been reduced below the previous
population mean value of
30 ​minutes?
What is the​ p-value for this​ test?
​p-value
=
enter your response here
​(Type an integer or a decimal. Round to three decimal
places as​ needed.)
Part 6
What is the conclusion for this​ test?
Since the​ p-value is
▼
less
greater
than
α ​,
▼
do not reject
reject
the null hypothesis and conclude that there
is
▼
insufficient
sufficient
evidence that the population mean delivery time has been
reduced below the previous population mean value of
30 minutes.
Part 7
c. Interpret the meaning of the​ p-value in this
problem. Choose the correct answer below.
A. The​ p-value is the probability of selecting a sample
of deliveries that has a mean delivery time of
27.3 minutes or​ more, given that the population mean
delivery time is
30 minutes.
B. The​ p-value is the probability of selecting a sample
of deliveries that has a mean delivery time of
30 minutes or​ more, given that the population mean
delivery time is
27.3 minutes.
C. The​ p-value is the probability of selecting a sample
of deliveries that has a mean delivery time of
30 minutes or​ less, given that the population mean
delivery time is 27.3 minutes.
D.The​ p-value is the probability of selecting a sample
of deliveries that has a mean delivery time of
27.3 minutes or​ less, given that the population mean
delivery time is 30 minutes.
Part 8
d. Compare your conclusions in​ (a) and​ (b). Choose the
correct answer below.
A. Using the critical value​ approach, the null
hypothesis was rejected and using the​ p-value approach, the null
hypothesis was not rejected. The critical value approach and the​
p-value approach yield opposite results.
B.Using the critical value​ approach, the null
hypothesis was rejected and using the​ p-value approach the null
hypothesis was rejected. The critical value approach and the​
p-value approach are two different methods of finding the same
answer.
C. Using the critical value​ approach, the null
hypothesis was not rejected and using the​ p-value approach, the
null hypothesis was rejected. The critical value approach and the​
p-value approach yield opposite results.
D. Using the critical value​ approach, the null
hypothesis was not rejected and using the​ p-value approach the
null hypothesis was not rejected. The critical value approach and
the​ p-value approach are two different methods of finding the same
answer.