Given a sample mean of 23 find 95 confidence intervals and c

Given a sample mean of 2.3, find 95% confidence intervals and compare the various interval estimates under the assumption that: (give answers to three decimal places)

Solution

confidence interval for sample size 50

confidence interval for sample size 25

2.025605

SAMPLE MEAN = 2.3

SAMPLE STANDARD DEVIATION = 0.7

95% CONFIDENCE INTERVAL

USING EXCEL CONFIDENCE = =CONFIDENCE(0.05,0.7,25)

ANSWER IS

0.274395

=CONFIDENCE(0.05,0.7,50)

ANSWER IS

0.194027

As the sample size increases the confidence interval decreases