Question 1182284: Recorded here are the germination times (in days) for ten randomly chosen seeds of a new type of bean.
13, 11, 13, 10, 14, 14, 20, 13, 22, 20
Assuming that germination times are normally distributed, find a 95% confidence interval for the mean germination time for all beans of this type. Then find the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
Lower limit:
Upper limit:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Get the mean and sd
the 95% CI is mean +/- t (0.975, df=9)*s/sqrt(10)
the mean is 15, s=4.14
t=2.262
the half-interval is 2.262*4.14/sqrt(10)=2.96
the whole interval is (12.0, 18.0) units days rounded.
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