You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 40 bacteria reveals a sample mean of 64 hours with a standard deviation of 4.2 hours. You would like to estimate the mean lifespan for
You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 40 bacteria reveals a sample mean of 64 hours with a standard deviation of 4.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of .65 hours at a 95% level of confidence.
What
From the available information,
Sample size, n= 40
Sample Mean, = 64
The estimate of population standard deviation is the Sample standard deviation. That is, =s =4.2
The margin of error is given as ,
E =0.65
The confidence level is,
C = 95%=95/100= 0.95
The level of significance Is,
= 1-C= 1-0.95=0.05
From standard normal table at 0.05 level of significance the two- tailed critical value is,
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