Question

A study of peach trees found that the average number of peaches per tree was 1025. The standard deviation of the population is 35 peaches per tree. A scientist wishes to find the 99% confidence interval for the mean number of peaches per tree. How many trees does she need to sample to obtain an average accurate to within 18 peaches per tree

Answer 1

Answer:

26 trees

Step-by-step explanation:

Mean = 1025

Standard deviation = 35

Confidence interval = 99%

Margin error = 18

From the table, 99% = 2.58

n = [Zcritical (Standard deviation / margin error) ]^2

n = [2.58(35/18)]^2

n = (5.0167)^2

n = 26 (to the nearest highest integer)

n = 26 trees