In: Statistics and Probability
A botanist wishes to estimate the typical number of seeds for a
certain fruit. She samples 49 specimens and counts the number of
seeds in each. Use her sample results (mean = 68.6, standard
deviation = 14.2) to find the 80% confidence interval for the
number of seeds for the species. Enter your answer as an
open-interval (i.e., parentheses)
accurate to 3 decimal places.
80% C.I. =
Solution :
It is given that a botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 49 specimens and counts the number of seeds in each. We have to use her sample results (mean = 68.6, standard deviation = 14.2) to find the 80% confidence interval for the number of seeds for the species.
Let be the mean number of seeds for the species.
We know that the 100 (1)% Confidence Interval for Population Mean () is given as ,
Thus , the data that we have from the given information are ,
Thus , the 80% Confidence Interval for Population Mean () is given as ,
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