# Confidence interval

A sample of 30 patients was studied in an effort to assess agency' preparedness for delivery of mental health services to African Americans. A nursing researcher and counselor decided to collaborate and conduct the study using the Clinical Attitudes, Knowledge, and Skills Inventory (CAKSI) to assess preparedness for delivery of mental health services to African-Americans. One of the scaled items has a mean equal to 82 and a standard deviation of 12. Construct and interpret 95% and 99% confidence intervals. Assume that the investigators increased their sample size to 100. Perform the same tests and describe how your conclusions would differ.

Â© BrainMass Inc. brainmass.com March 4, 2021, 7:59 pm ad1c9bdddfhttps://brainmass.com/statistics/confidence-interval/statistics-problem-confidence-interval-136979

#### Solution Preview

** Please see the attached file for the complete solution response **

Details

A. 95 % Confidence Interval , sample size 30

Confidence Interval Estimate for the Mean

Data

Sample Standard Deviation 12

Sample Mean 82

Sample Size 30

Confidence Level 95%

Intermediate Calculations

Standard Error of the Mean 2.19089023

Degrees of Freedom 29

t Value 2.045229611

Interval Half Width 4.480873573

Confidence Interval

Interval Lower Limit 77.52

Interval Upper Limit 86.48

With 95% confidence , we can claim that the population ...

#### Solution Summary

This solution gives the step by step method for computing the confidence interval for the given statistics problem.