A manager of a pizza restaurant has changed the restaurant's delivery process in an effort to reduce the mean time betw
Posted: Mon May 09, 2022 12:53 pm
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.
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.