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To determine whether the bacteria count was lower in the
Chapter 7, Problem 6E(choose chapter or problem)
To determine whe ther the bacteria count was lower in the west basin of Lake Macatawa than in the east basin, \(n=37\) samples of water were taken from the west basin and the number of bacteria colonies in 100 milliliters of water was counted. The sample characteristics were \(\bar{x}=11.95\) and \(s=11.80\), measured in hundreds of colonies. Find an approximate \(95 \%\) confidence interval for the mean number of colonies (say, \(\mu_{W}\) ) in 100 milliliters of water in the west basin.
Equation Transcription:
Text Transcription:
n=37
Bar x=11.95
s=11.80
95%
mu_W
Questions & Answers
QUESTION:
To determine whe ther the bacteria count was lower in the west basin of Lake Macatawa than in the east basin, \(n=37\) samples of water were taken from the west basin and the number of bacteria colonies in 100 milliliters of water was counted. The sample characteristics were \(\bar{x}=11.95\) and \(s=11.80\), measured in hundreds of colonies. Find an approximate \(95 \%\) confidence interval for the mean number of colonies (say, \(\mu_{W}\) ) in 100 milliliters of water in the west basin.
Equation Transcription:
Text Transcription:
n=37
Bar x=11.95
s=11.80
95%
mu_W
ANSWER:
Step 1 of 2
Given,
Sample size,
The sample mean,
The sample standard deviation,
We have to find an approximate 95% confidence interval for the mean number of colonies (say, ) in 100 milliliters of water in the west basin