For each of the following statements, formulate appropriate null and alternative
ID: 3205418 • Letter: F
Question
For each of the following statements, formulate appropriate null and alternative hypotheses. Indicate whether the appropriate test will be one-tail or two- tail, then sketch a diagram that shows the approximate location of the “rejection” region(s) for the test.
a.“The average college student spends no more than $300 per semester at the university’s bookstore.”
b. “The average adult drinks 1.5 cups of coffee per day.”
c. “The average SAT score for entering freshmen is at least 1200.”
d. “The average employee put in 3.5 hours of overtime last week.”
Explanation / Answer
a) Consider a hypothesis:
H0: u greater or equal to 300 against H1: u < 300 so its a one tailed test.
Please by yourself simply just draw the bell curve and shade the left side of it. That will give you the rejection region or the critical region easily.
b)Consider the hypothesis:
H0: u = to 1.5 against H1: u is not = to 1.5 ,
Clearly,this is the two tailed test.
Clearly we reject the two sided of the bell curve but not the middle.
c)The statement is says "at least 1200" which means 1200 or more.
Similar to before solution's concept we find this test will be one-tailed.
d) is similar to part b). that is it will form a two tailed test.
I hope the rest of the proceedings would not be a problem at all.
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