# Question

A botanist wishes to test the null hypothesis that the average diameter of the flowers of a particular plant is 9.6 cm. He decides to take a random sample of size n = 80 and accept the null hypothesis if the mean of the sample falls between 9.3 cm and 9.9 cm; if the mean of this sample falls outside this interval, he will reject the null hypothesis. What decision will he make and will it be in error if

(a) He gets a sample mean of 10.2 cm and µ = 9.6 cm;

(b) He gets a sample mean of 10.2 cm and µ = 9.8 cm;

(c) He gets a sample mean of 9.2 cm and µ = 9.6 cm;

(d) He gets a sample mean of 9.2 cm and µ = 9.8 cm?

(a) He gets a sample mean of 10.2 cm and µ = 9.6 cm;

(b) He gets a sample mean of 10.2 cm and µ = 9.8 cm;

(c) He gets a sample mean of 9.2 cm and µ = 9.6 cm;

(d) He gets a sample mean of 9.2 cm and µ = 9.8 cm?

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