To determine whether the bacteria count was lower in the

Chapter 7, Problem 6E

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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

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

 

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