SOLUTION: A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire desi

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Question 881661: A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 39.5 and a standard deviation of 6.6.
Calculate the 99% confidence interval.
Steps:
What is the new critical value you will use for this calculation?


±1.645

±2.064

±2.756

±2.797

6.74


A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? Set alpha equal to .01.


Set up the criteria for making a decision. That is, find the critical value using an alpha = .01. (Make sure you are sign specific: + ; - ; or +/-) (Use your tables)

+/- 2.457

- 2.462

- 2.750

+/- 2.756

Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
children differ...2 sided
Using TI
invT(0.995, 24) = 2.797
significantly lower ...one-sided
invT(.01, 29) = -2.462

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 39.5 and a standard deviation of 6.6.
Calculate the 99% confidence interval.
Steps:
What is the new critical value you will use for this calculation?

±1.645
±2.064
±2.756
±2.797
6.74

A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? Set alpha equal to .01.

Set up the criteria for making a decision. That is, find the critical value using an alpha = .01. (Make sure you are sign specific: + ; - ; or +/-) (Use your tables)
Ans:: invNorm(0.01) = -2.3263
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