An agricultural experiment looked at the height of a particular hybrid of corn p

Question

An agricultural experiment looked at the height of a particular hybrid of corn plants. The researchers randomly selected 14 mature plants and measured the height in cm. The resulting values are given below. Use Statcrunch to construct a 86% confidence interval for the true average height of all corn plants in this field. (You may assume that the heights are approximately normally distributed and do not have any strong outliers.)

The confidence interval is ( 1 , 2 )

Explanation / Answer

n=14, xbar=188.64, s=8.12 (based on the data)
a=0.14

t(0.07,df=n-1=13)=1.57 (check student t table)

So the 86% confidence interval is
xbar ± t*s/n

--> 188.64 ± 1.57*8.12/sqrt(14)

--> (185.2328, 192.0472)

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