Question

Researchers examined the psychological effects of restrictive environments in a medium security federal correctional institution in Kentucky. Restrictive environments include administrative detention (AD) and disciplinary segregation (DS). Inmates whose behavior threatens the orderly running of the institution are placed in AD, where they generally live with another inmate. Inmates guilty of serious violations of regulations are placed in DS, where they generally live in an individual cell away from the general population. A sample of 10 inmates living in the general population (G), 10 inmates living in administrative detention (AD), and 10 inmates living in disciplinary segregation (DS) were selected. Each sampled individual completed the Brief Symptom Inventory (BSI) consisting of 53 items designed to assess an individual's current level of psychological distress. (a) Select the explanation that appropriately answers whether the context is an observational study or an experiment and how it will affect your conclusions. 1. This is an observational study because prisoners were selected at random to live in the restrictive environments. Since this is not an experiment, we can conclude that living environment causes psychological distress. 2. This is an observational study because prisoners were not selected at random to live in the restrictive environments. Since this is not an experiment, we cannot conclude that living environment causes psychological distress. 3. This is an experiment because prisoners were not selected at random to live in the restrictive environments. Since this is not an observational study, we cannot conclude that living environment causes psychological distress. 4. This is an experiment because prisoners were selected at random to live in the restrictive environments. Since this is not an observational study, we can conclude that living environment causes psychological distress. (b) Select the statement that appropriately explains what the mean BSI scores say about the relationship between psychological distress and the living restrictions of inmates. 1. The mean BSI scores do not give us enough information to draw any conclusions. 2. Those sampled and living in the general population had the smallest average psychological distress, and those living in administrative detention had the largest average distress. 3. Those sampled and living in the disciplinary segregation had the smallest average psychological distress, and those living in the general population had the largest average distress. 4. Those sampled and living in the general population had the smallest average psychological distress, and those living in disciplinary segregation had the largest average distress. (c) Define H0 as the null hypothesis, Ha as the alternative hypothesis, μG as the population mean of the general population, μAD as the population mean of inmates living in administrative detention, and μDS as the population mean of inmates living in disciplinary segregation. Select the option with the appropriate H0 and Ha for this test. Select the appropriate hypotheses for the ANOVA test for these data. 1. H0: not all of μG, μAD, μDS are the same versus Ha: μG=μAD=μDS 2. H0: μG=μAD=μDS versus Ha: not all of μG, μAD, μDS are the same 3. H0: μG≤μAD≤μDS versus Ha: all of μG, μAD, μDS are the same 4. H0: μG≤μAD≤μDS versus Ha: not all of μG, μAD, μDS are the same What is the value of the F test statistic? (Enter your answer rounded to two decimal places.) F= What is the P-value? (Enter your answer rounded to three decimal places.) P= Select the statement that appropriately describes the conclusions you can draw from these data. 1. There is evidence that the average psychological distress is the same for prisoners in the three environments. 2. There is evidence that the average psychological distress is not the same for prisoners in the three environments. 3. There is evidence that the prisoners do not experience any psychological distress. 4. There is not enough evidence to suggest that the average psychological distress is not the same for prisoners in the three environments.

Name: researchers examined the psychological effects of restrictive environments in a medium security federal correctional institution in kentucky restrictive environments include administrative d 20755
Uploaded: 2023-11-05T01:06:42-08:00
Duration: 2 min 26 s
Channel: Rachel Gore
Description: researchers examined the psychological effects of restrictive environments in a medium security federal correctional institution in kentucky restrictive environments include administrative d 20755

(a) Select the explanation that appropriately answers whether the context is an observational study or an experiment and how it will affect your conclusions.
1. This is an observational study because prisoners were selected at random to live in the restrictive environments. Since this is not an experiment, we can conclude that living environment causes psychological distress.
2. This is an observational study because prisoners were not selected at random to live in the restrictive environments. Since this is not an experiment, we cannot conclude that living environment causes psychological distress.
3. This is an experiment because prisoners were not selected at random to live in the restrictive environments. Since this is not an observational study, we cannot conclude that living environment causes psychological distress.
4. This is an experiment because prisoners were selected at random to live in the restrictive environments. Since this is not an observational study, we can conclude that living environment causes psychological distress.

(b) Select the statement that appropriately explains what the mean BSI scores say about the relationship between psychological distress and the living restrictions of inmates.
1. The mean BSI scores do not give us enough information to draw any conclusions.
2. Those sampled and living in the general population had the smallest average psychological distress, and those living in administrative detention had the largest average distress.
3. Those sampled and living in the disciplinary segregation had the smallest average psychological distress, and those living in the general population had the largest average distress.
4. Those sampled and living in the general population had the smallest average psychological distress, and those living in disciplinary segregation had the largest average distress.

(c) Define H0 as the null hypothesis, Ha as the alternative hypothesis, μG as the population mean of the general population, μAD as the population mean of inmates living in administrative detention, and μDS as the population mean of inmates living in disciplinary segregation.
Select the option with the appropriate H0 and Ha for this test.
Select the appropriate hypotheses for the ANOVA test for these data.
1. H0: not all of μG, μAD, μDS are the same versus Ha: μG=μAD=μDS
2. H0: μG=μAD=μDS versus Ha: not all of μG, μAD, μDS are the same
3. H0: μG≤μAD≤μDS versus Ha: all of μG, μAD, μDS are the same
4. H0: μG≤μAD≤μDS versus Ha: not all of μG, μAD, μDS are the same

What is the value of the F test statistic? (Enter your answer rounded to two decimal places.)
F=

What is the P-value? (Enter your answer rounded to three decimal places.)
P=

Select the statement that appropriately describes the conclusions you can draw from these data.
1. There is evidence that the average psychological distress is the same for prisoners in the three environments.
2. There is evidence that the average psychological distress is not the same for prisoners in the three environments.
3. There is evidence that the prisoners do not experience any psychological distress.
4. There is not enough evidence to suggest that the average psychological distress is not the same for prisoners in the three environments.

Added by Pamela G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Rachel Gore

11/05/2023

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This is an observational study because prisoners were not selected at random to live in the restrictive environments. Show more…

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Researchers examined the psychological effects of restrictive environments in a medium security federal correctional institution in Kentucky. Restrictive environments include administrative detention (AD) and disciplinary segregation (DS). Inmates whose behavior threatens the orderly running of the institution are placed in AD, where they generally live with another inmate. Inmates guilty of serious violations of regulations are placed in DS, where they generally live in an individual cell away from the general population. A sample of 10 inmates living in the general population (G), 10 inmates living in administrative detention (AD), and 10 inmates living in disciplinary segregation (DS) were selected. Each sampled individual completed the Brief Symptom Inventory (BSI) consisting of 53 items designed to assess an individual's current level of psychological distress. (a) Select the explanation that appropriately answers whether the context is an observational study or an experiment and how it will affect your conclusions. 1. This is an observational study because prisoners were selected at random to live in the restrictive environments. Since this is not an experiment, we can conclude that living environment causes psychological distress. 2. This is an observational study because prisoners were not selected at random to live in the restrictive environments. Since this is not an experiment, we cannot conclude that living environment causes psychological distress. 3. This is an experiment because prisoners were not selected at random to live in the restrictive environments. Since this is not an observational study, we cannot conclude that living environment causes psychological distress. 4. This is an experiment because prisoners were selected at random to live in the restrictive environments. Since this is not an observational study, we can conclude that living environment causes psychological distress. (b) Select the statement that appropriately explains what the mean BSI scores say about the relationship between psychological distress and the living restrictions of inmates. 1. The mean BSI scores do not give us enough information to draw any conclusions. 2. Those sampled and living in the general population had the smallest average psychological distress, and those living in administrative detention had the largest average distress. 3. Those sampled and living in the disciplinary segregation had the smallest average psychological distress, and those living in the general population had the largest average distress. 4. Those sampled and living in the general population had the smallest average psychological distress, and those living in disciplinary segregation had the largest average distress. (c) Define H0 as the null hypothesis, Ha as the alternative hypothesis, μG as the population mean of the general population, μAD as the population mean of inmates living in administrative detention, and μDS as the population mean of inmates living in disciplinary segregation. Select the option with the appropriate H0 and Ha for this test. Select the appropriate hypotheses for the ANOVA test for these data. 1. H0: not all of μG, μAD, μDS are the same versus Ha: μG=μAD=μDS 2. H0: μG=μAD=μDS versus Ha: not all of μG, μAD, μDS are the same 3. H0: μG≤μAD≤μDS versus Ha: all of μG, μAD, μDS are the same 4. H0: μG≤μAD≤μDS versus Ha: not all of μG, μAD, μDS are the same What is the value of the F test statistic? (Enter your answer rounded to two decimal places.) F= What is the P-value? (Enter your answer rounded to three decimal places.) P= Select the statement that appropriately describes the conclusions you can draw from these data. 1. There is evidence that the average psychological distress is the same for prisoners in the three environments. 2. There is evidence that the average psychological distress is not the same for prisoners in the three environments. 3. There is evidence that the prisoners do not experience any psychological distress. 4. There is not enough evidence to suggest that the average psychological distress is not the same for prisoners in the three environments.