A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.2 years with a standard
Posted: Wed May 11, 2022 10:35 am
A random survey of 75 death row inmates revealed that the mean
length of time on death row is 17.2 years with a standard
deviation of 6.4 years. Conduct a hypothesis test to
determine if the population mean time on death row could likely be
15 years or not.
a. Is this a test of one mean or proportion?
b. State the null and alternative hypotheses.
c. Is this a right-tailed, left-tailed, or two-tailed
test?
d. What symbol represents the random variable for this test?
e. In words, define the random variable for this test.
the number of inmates on death row
the proportion of time spent on death row for 75
inmates
the standard deviation of time spent on death row for 75
inmates
the amount of time spent on death row for 75 inmates
the mean time spent on death row for 75 inmates
f. what is the population standard deviation?
g. Calculate the following.
(i) Enter your answer to one decimal place.
x =
(ii) Enter your answer to one decimal place.
s =
(iii) Enter your answer as a whole number.
n =
h. Which test should be used?
Normal test
Student's t-test
j. Find the p-value. (Round your answer to four
decimal places.)
At a pre-conceived 𝛼 = 0.05, what do you determine for
each of the following?
(i) Decision:
reject the null hypothesis
do not reject the null hypothesis
(ii) Reason for the decision:
Since 𝛼 > p-value, we reject the null
hypothesis.
Since 𝛼 > p-value, we do not reject
the null hypothesis.
Since 𝛼 < p-value, we reject the null
hypothesis.
Since 𝛼 < p-value, we do not reject
the null hypothesis.
(iii) Conclusion (write out in a complete sentence):
There is sufficient evidence to conclude that the mean length of
time on death row is not 15 years.
There is not sufficient evidence to conclude that the mean
length of time on death row is not 15 years.
length of time on death row is 17.2 years with a standard
deviation of 6.4 years. Conduct a hypothesis test to
determine if the population mean time on death row could likely be
15 years or not.
a. Is this a test of one mean or proportion?
b. State the null and alternative hypotheses.
c. Is this a right-tailed, left-tailed, or two-tailed
test?
d. What symbol represents the random variable for this test?
e. In words, define the random variable for this test.
the number of inmates on death row
the proportion of time spent on death row for 75
inmates
the standard deviation of time spent on death row for 75
inmates
the amount of time spent on death row for 75 inmates
the mean time spent on death row for 75 inmates
f. what is the population standard deviation?
g. Calculate the following.
(i) Enter your answer to one decimal place.
x =
(ii) Enter your answer to one decimal place.
s =
(iii) Enter your answer as a whole number.
n =
h. Which test should be used?
Normal test
Student's t-test
j. Find the p-value. (Round your answer to four
decimal places.)
At a pre-conceived 𝛼 = 0.05, what do you determine for
each of the following?
(i) Decision:
reject the null hypothesis
do not reject the null hypothesis
(ii) Reason for the decision:
Since 𝛼 > p-value, we reject the null
hypothesis.
Since 𝛼 > p-value, we do not reject
the null hypothesis.
Since 𝛼 < p-value, we reject the null
hypothesis.
Since 𝛼 < p-value, we do not reject
the null hypothesis.
(iii) Conclusion (write out in a complete sentence):
There is sufficient evidence to conclude that the mean length of
time on death row is not 15 years.
There is not sufficient evidence to conclude that the mean
length of time on death row is not 15 years.