Question

In: Statistics and Probability

In 2002 the mean age of an inmate on death row was 40.7 years with a...

In 2002 the mean age of an inmate on death row was 40.7 years with a standard deviation of 9.6 years. A sample of 32 current death row inmates shows a mean age of 38.9 years. Does this indicate that the mean age of death row inmates is less than in 2002?

Solutions

Expert Solution

Solution :

Given that,

mean = = 40.7

standard deviation = = 9.6

n = 32

= 40.7

=  / n = 9.6 / 32=1.697

P( < 38.9) = P[( - ) / < (38.9-40.7) /1.697 ]

= P(z <-1.06 )

Using z table  

= 0.1446   

probability= 0.1446

yes this indicate that the mean age of death row inmates is less than in 2002

orchestra answered 3 years ago
Next > < Previous

Related Solutions

In 2002 the mean age of an inmate on death row was 40.7 years with a...
In 2002 the mean age of an inmate on death row was 40.7 years with a standard deviation of 9.6 years. A sample of 32 current death row inmates shows a mean age of 38.9 years. Does this indicate that the mean age of death row inmates is less than in 2002?
One​ year, the mean age of an inmate on death row was 40.440.4 years. A sociologist...
One​ year, the mean age of an inmate on death row was 40.440.4 years. A sociologist wondered whether the mean age of a​ death-row inmate has changed since then. She randomly selects 3232 ​death-row inmates and finds that their mean age is 39.439.4​, with a standard deviation of 9.99.9. Construct a​ 95% confidence interval about the mean age. What does the interval​ imply? LOADING... Click the icon to view the table of critical​ t-values. Choose the correct hypotheses. Upper H...
One​ year, the mean age of an inmate on death row was 40.3 years. A sociologist...
One​ year, the mean age of an inmate on death row was 40.3 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 38.5 with a standard deviation of 9.6 Construct a​ 95% confidence interval about the mean age. What does the interval​ imply? Determine the nature of the hypothesis test. Recall that the mean age of death row inmates is...
One​ year, the mean age of an inmate on death row was 40.5 years. A sociologist...
One​ year, the mean age of an inmate on death row was 40.5 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 8.9. Construct a​ 95% confidence interval about the mean age. What does the interval​ imply? LOADING... Click the icon to view the table of critical​ t-values. Choose the correct hypotheses. Upper H...
One​ year, the mean age of an inmate on death row was 39.3 years. A sociologist...
One​ year, the mean age of an inmate on death row was 39.3 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 38.7​, with a standard deviation of 9.5. Construct a​ 95% confidence interval about the mean age. What does the interval​ imply? Choose the correct hypotheses. H0​: muμ x overbarx sigmaσ pp ▼ not equals≠ less than< equals= greater...
Ten years ago, the mean age of death row inmates was 50.4 according to the US...
Ten years ago, the mean age of death row inmates was 50.4 according to the US Dept. of Justice. A sociologist wants to test whether that data is still accurate. He randomly selects 9 death row inmates and finds that their mean age is 34.2 with a standard deviation of 19.1. Use a 0.01 significance level to test the claim that the mean age of death row inmates is now equal to 50.4, which was the mean age ten years...
1. In 1989, the average age of inmates on death row was 36.5 years of age,...
1. In 1989, the average age of inmates on death row was 36.5 years of age, according to data obtained from the U.S. Department of Justice. A sociologist believes that the average age of death-row inmates has changed since then. She randomly selects 40 death-row inmates and finds that their mean age is 38.9 years. Assuming that ages of death-row inmates vary with a standard deviation of 8.6 years, a. Provide a point estimate (and the associated standard error) for...
A random survey of 75 death row inmates revealed that the mean length of time on...
A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.7 years with a standard deviation of 6.8 years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years. 1)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 =...
A random survey of 75 death row inmates revealed that the mean length of time on...
A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.4 years with a standard deviation of 6.8 years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years. State the distribution to use for the hypothesis test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) Find the p-value. (Round your answer to four...
A random survey of 75 death row inmates revealed that the mean length of time on...
A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.3 years with a standard deviation of 6.5 years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years. Part (a) Is this a test of one mean or proportion? test of one meantest of proportions     Part (b) State the null and alternative hypotheses. H0: μ ≥ 15 Ha: μ < 15H0:...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT