Question 318667: Test the given claim using the any method of hypothesis testing. Assume that the sample has been randomly selected from a population with a normal distribution.
A large software company gives job applicants a test of programming ability and the mean 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 160.
You must establish variables, check requirements, identify null and alternative hypothesis, perform statistics (remembering to reject or fail to reject null hypothesis) and state the conclusion in simple non-technical terms as stated on formula sheet or on Page 397 in your text.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A large software company gives job applicants a test of programming ability and the mean 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 160.
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Ho: u = 160
Ha: u > 160
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mean of the sample: 183
std of the sample:12
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t(183) = (183-160)/[12/sqrt(25)] = 23/[2.4] = 9.58
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p-value = P(t > 9.58) = tcdf(9.58,1000 with df= 24) = approximately zero
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Conclusion: Since the p-value is less than 5%, reject Ho.
The test provides some evidence that the sample comes from
a population with a mean score greater than 160.
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Cheers,
Stan H.
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