Purchase Solution

# Sample Size and Probability

Not what you're looking for?

1 ) Management has asked a lab to produce accurate results at the 88% level for a first time experiment. the management wants the final error to be within 1/10th of the sample standard deviation. Find the sample size.

2) A sample of 16 women had a mean score of 275 and a variance value of 360.
A. find both the 955 and 99% confidence intervals. what is the standard error and the maximum error for each?
B. Repeat "a" group of 28 women.
C. Explain the difference in the answers for both confidence levels and both sample size.

##### Solution Summary

This solution includes all the steps and a detailed explanation of the given statistical problems.

##### Solution Preview

The solution file is attached.

1)
For 88% confidence, z = 1.5548
E = s/8 which means s/E = 8
N = (z * s/E)^2
N = (1.5548 * 8)^2 = 154.71
Minimum sample size required is 155.

2)
(a) (i) 95% confidence interval:
Data:
n = 16
x-bar = 275
s = 18.9737
% = 95
Standard Error, SE = s/√n = 4.7434
Degrees of freedom = 15
t- score = 2.1314
Maximum Error = Width of the confidence interval = t * SE = 10.1104
Lower Limit of the confidence interval = x-bar - width = 264.8896
Upper Limit of the confidence interval ...

##### Free BrainMass Quizzes

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.