Average diameter of the flowers of a particular plant


A botanist wishes to test the null hypothesis that the average diameter of the flowers of a particular plant is 9.6cm. He decides to take a random sample of size n=80 and accept the null hypottesis if the mean of the sample falls between 9.3 cm to 9.9cm: 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 amd Mu=9.6cm:

b)he gets a sample mean of 10.2 cm and Mu=9.8cm:

c)he gets a sample mean of 9.2 cm and Mu=9.6cm:

d)he gets a sample mean of 9.2 cm and Mu=9.8cm?

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Basic Statistics: Average diameter of the flowers of a particular plant
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