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In: Statistics and Probability

A farmer wants to determine if the average growth of sunflowers is 4.5 ft per year...

A farmer wants to determine if the average growth of sunflowers is 4.5 ft per year or not. A sample of 41 sunflowers had a mean of 4.25 ft per year and a standard deviation of 0.7 ft per year.

a) This is a two-sided test;state the hypotheses.

b) State the rejection region for α=0.05

c)Will you reject or retain the null hypothesis? Show all work to support your answer.

d) Find the 95% confidence interval for average growth of sunflowers.Is the value of µ0 inside the 95% confidence interval?

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