Question

In 2018, the mean age of a prisoner on death row was 40.7 years. A psychologist wondered whether the mean age of a prisoner has changed since then. He randomly selects 33 prisoners and finds that their mean age is 38.9 with a standard deviation of 9.6. Use an α = 0.05 level of significance. Determine the word(s) that make the statements true. a. The value of z0 [ Select ] ["is", "", "", "is not"] in a critical region. b. We [ Select ] ["reject", "do not reject"] H0. c. This was a [ Select ] ["right", "left", "two"] -tailed test. d. There is/are [ Select ] ["one", "two"] critical region(s) in the associated standard normal distribution. e. The sample evidence [ Select ] ["does not", "does"] suggest that the mean age of a prisoner has changed since 2018. f. This was a question testing a hypothesis regarding a population [ Select ] ["mean", "proportion"] . Previous

          In 2018, the mean age of a prisoner on death row was 40.7 years. A psychologist wondered whether the mean age of a prisoner has changed since then. He randomly selects 33 prisoners and finds that their mean age is 38.9 with a standard deviation of 9.6. Use an α = 0.05 level of significance.
Determine the word(s) that make the statements true.
a. The value of z0         [ Select ]      ["is", "", "", "is not"]  in a critical region.
b. We         [ Select ]      ["reject", "do not reject"]  H0.
c. This was a         [ Select ]      ["right", "left", "two"] -tailed test.
d. There is/are         [ Select ]      ["one", "two"]  critical region(s) in the associated standard normal distribution.
e. The sample evidence         [ Select ]      ["does not", "does"]  suggest that the mean age of a prisoner has changed since 2018.
f. This was a question testing a hypothesis regarding a population         [ Select ]      ["mean", "proportion"]  .
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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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In 2018, the mean age of a prisoner on death row was 40.7 years. A psychologist wondered whether the mean age of a prisoner has changed since then. He randomly selects 33 prisoners and finds that their mean age is 38.9 with a standard deviation of 9.6. Use an α = 0.05 level of significance. Determine the word(s) that make the statements true. a. The value of z0 [ Select ] ["is", "", "", "is not"] in a critical region. b. We [ Select ] ["reject", "do not reject"] H0. c. This was a [ Select ] ["right", "left", "two"] -tailed test. d. There is/are [ Select ] ["one", "two"] critical region(s) in the associated standard normal distribution. e. The sample evidence [ Select ] ["does not", "does"] suggest that the mean age of a prisoner has changed since 2018. f. This was a question testing a hypothesis regarding a population [ Select ] ["mean", "proportion"] . Previous
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In 2002, the mean age of an inmate on death row was 40.7 years, according to data obtained from the U.S. Department of Justice. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 38.9, with a standard deviation of 9.6. Does this data indicate that the mean age of death-row inmates has changed significantly since 2002. Use the α = 0.05 level of significance. Conditions: a) We ____(are / are not) able to determine if the data is normally distributed from the given description. b) The t-test for means _____(is / is not) valid for the given data. Rejection Region: c) To test the given hypotheses, we will use a ___(left / right / two) -tailed test. d) The appropriate critical value(s) for this test is/are_____ . (Report your answer exactly as it appears in Table VI.) e) The test statistic for this test is t0=____. (Calculate this value in a single step in your calculator, and report your answer rounded to 3 decimal places.) f) We ____ (reject / fail to reject) H0. g) The given data _____(does / does not) provide significant evidence that the age of death-row inmates has changed since 2002.

Adi S.

one-year-the-mean-age-of-an-inmate-on-death-row-was-388-years-a-sociologist-wondered-whether-the-mean-age-of-a-death-row-inmate-has-changed-since-then-she-randomly-selects-32-death-row-inmat-62634

One year, the mean age of an inmate on death row was 38.8 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 36.8, with a standard deviation of 8.8. Construct a 95% confidence interval about the mean age. What does the interval imply? A) Choose the correct hypotheses. B) Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between ____ years and ____ years. (Round to two decimal places as needed.) C) What does the interval imply? A. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed. B. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. C. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. D. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed.

Marc L.

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One year; the mean age of an inmate on death row was 41.2 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 39.9, with a standard deviation of 9.3. Construct a 95% confidence interval about the mean age. What does the interval imply? Ho: H1 (Type integers or decimals. Do not round) Construct a 95% confidence interval about the mean age. The lower bound is _________. The upper bound is _________. (Round to two decimal places as needed.) What does the interval imply? 0A Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed.

Kari H.


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Transcript

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00:01 From the given information we have mu is equals to 40 .7, n is equals to 32, x bar is equals to 38 .9, s is equals to 9 .6.
00:13 Here we should note that by central limit theorem, we have if n is large, that is greater than or equals to 30, then data will be normally distributed.
00:35 Here we have n is equals to 32, which is greater than 30...
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