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In: Statistics and Probability

A large Software company gives job applicants a test of programing ability and the mean for...

A large Software company gives job applicants a test of programing ability and the mean for that test has been 180 in the past with a population std. dev. of 20. A random sample from 35 applicants shows a mean of 183. Use a 0.5 level of significance to test the claim that this sample comes from a population with a mean greater than 180.

(a) Draw a curve and label each part to reflect a left, right, or two tailed test

(b) Claim: Show in symbols H0, Ha

(c) Critical value- find the z0 or t0 values

(d) What are the standardized test statistic z or t, and the P values from the calculator?

(e) Comparingthecriticalvalues, α value, against the calculator results, state whether you reject, or fail to reject the null hypothesis

(f) Interpret the decision in the context of the original claim

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