2. A banana company claims that the mean weight of their banana is 150 grams with a standard deviation of 18 grams. Data generated from a sample of 49 bananas randomly selected indicated a mean weight of 153.5 grams per banana. Is there sufficient evidence to reject the company's claim? Use I = 0.05.

(a) define and illustrate the null hypothesis, alternative hypothesis and level of significance.

(b) identify the appropriate form of test statistics.

(c) identify the rejection and non-rejection regions and the critical values.

(d) make a conclusion base from the result you obtain.

(e) identify if it is a type I and type II errors in claims and desicions.

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