1. The null hypothesis, H o : = 43, was tested against the alternative hypothesi
ID: 3218772 • Letter: 1
Question
1. The null hypothesis, Ho: = 43, was tested against the alternative hypothesis, Ha: > 43. A sample of 74 resulted in a calculated p-value of 0.062. If = 3.1, find the value of the sample mean, x. (Give your answer correct to one decimal place.)
2. The null hypothesis, Ho: = 15.5, was tested against the alternative hypothesis, Ha: < 15.5. A sample of 51 resulted in a calculated p-value of 0.013. If x = 14.5, find the value of the population standard deviation. (Give your answer correct to two decimal places.)
Explanation / Answer
1.
Looking up for 0.06, we get the z-value as 1.55
ZSTAT=X-µ//n
1.55=X-43/3.1/74
X=43.5587=43.56
2.
Looking up for 0.01, we get the z-value as -2.33
ZSTAT=X-µ//n
-2.33=14.5-15.5//51
=3.06499
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