(2) Consider the problem of testing Ha : H > 100 against Ho : µ = 100 at the a = 0.05 level, given that you have observed = 102.8 and s = 10.9 from a random sample of n = 55 individuals. (You may assume that the population is approximately Normally distributed.) (a) Come up with a "real world situation" that could motivate performing this partic- ular test. (b) What are the results of the test? What is the p-value? (c) Would the answers to (b) be different if we had used a = 0.01 instead, all else being equal. Explain why or why not? (d) Would the answers to (b) be different if we had used n = 45 instead, all else being equal. Explain why or why not? Ha : µ + 100 instead, all else (e) Would the answers to (b) be different being equal. Explain why or why not? we had

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2) c)d)e)

(2) Consider the problem of testing Ha : H > 100 against Ho : u
level, given that you have observed a
55 individuals. (You may assume that the population is approximately Normally
distributed.)
100 at the a =
0.05
102.8 and s =
10.9 from a random sample of
(a) Come up with a "real world situation" that could motivate performing this partic-
ular test.
(b) What are the results of the test? What is the p-value?
(c) Would the answers to (b) be different if we had used a =
equal. Explain why or why not?
0.01 instead, all else being
(d) Would the answers to (b) be different if we had use
equal. Explain why or why not?
45 instead, all else being
n =
(e) Would the answers to (b) be different if we had used Ha : µ # 100 instead, all else
being equal. Explain why or why not?
Transcribed Image Text:(2) Consider the problem of testing Ha : H > 100 against Ho : u level, given that you have observed a 55 individuals. (You may assume that the population is approximately Normally distributed.) 100 at the a = 0.05 102.8 and s = 10.9 from a random sample of (a) Come up with a "real world situation" that could motivate performing this partic- ular test. (b) What are the results of the test? What is the p-value? (c) Would the answers to (b) be different if we had used a = equal. Explain why or why not? 0.01 instead, all else being (d) Would the answers to (b) be different if we had use equal. Explain why or why not? 45 instead, all else being n = (e) Would the answers to (b) be different if we had used Ha : µ # 100 instead, all else being equal. Explain why or why not?
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