SHORT ANSWER. Write the word or phrase that best completes each statement or ans
ID: 3322008 • Letter: S
Question
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question Assume that a simple random sample has been selected from a normally distributed population and test the given claim Use the P-VALUE method.Identify the null and alternative hypotheses, test statistic, critical value(s) as appropriate, and state the final conclusion that addresses the original claim. (8 CREDITS) 9) A large software company gives job applicants a test of programming ability and the mean 9) for that test has been 160 in the past. Twenty-five job applicants are randomly selected from one large university and they produce a mean score and standard deviation of 183 and 12, respectively. Use a 0.05 level of significance to test the claim that this sample comes from a population with a mean score greater than 160Explanation / Answer
9.
Ho: Mu <= 160
Ha: Mu > 160
Pop. Mean, Mu = 160
n = 25
Sample mean = 183
Stdev = 12
t = (183-160)/(12/sqrt(25)) = 9.58
P(X>160) = P(t> (183-160)/(12/sqrt(25)) = P(t>9.58) = .00
The critical value at df = n-1 = 24 and alpha = .05 are 2.064
This is less than .05, and hence we reject the null hypothesis and conclude that the claum that this sample
comes from a population with a mean score greater than 180 is CORRECT
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