1)Which are the possible alternative hypotheses we can formulate when working wi

Question

1)Which are the possible alternative hypotheses we can formulate when working with a single sample?How do different hypotheses influence the critical values that determine the limit(s) of the area ofacceptance versus the area(s) of rejection concerning the null hypothesis?  

2) Boys of a certain age are known to have a mean weight of = 85 pounds. A complaint is made thatthe boys living in a municipal children's home are underfed. As one bit of evidence, n = 25 boys (of thesame age) are weighed and found to have a mean weight of 80.94 pounds. It is known that thepopulation standard deviation is 11.6 pounds. Based on the available data, what should be concludedconcerning the complaint? (For an alpha of 0.05.)

Explanation / Answer

Dear student, I am only answering the first question as per Chegg Guidelines.

There can be three kinds of alternative hypothesis when we work with one sample data:

Left-tailed hypothesis: Here, the rejection region is to the left of the graph and the acceptance region is to the right.
Right-tailed hypothesis: Here, the rejection region is to the right of the graph and the acceptance region is to the left.
Two-tailed hypothesis: Here, the rejecetion region is divided into two parts and is equally divided to the two sides of the graph, the middle portion of the graph represents the acceptance region

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