Question

# Read the problem scenarios described there and answer the questions that follow. Use full sentences.

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Math215-StaTsTcal Concepts Name: _______________________ Run Me a Hypothesis Test Problem 1: Life span in Hawaii Travel Magazine reported that among the US states, Hawaii is the one with the longest life span of residents, where the populaTon mean life span is 77 years. A random sample of 20 obituary noTces in the Honolulu Journal gave the following informaTon about life span (in years) of Honolulu residents: 72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 88 Assuming that life span in Honolulu is normally distributed; does this informaTon indicate that the mean life span for all Honolulu residents is less than 77 years? Do you have enough evidence to say that Travel magazine’s report is not accurate? Use a 5% level of signiFcance. 1) What type of hypothesis test is needed? What distribuTon should be used? Why? 2) State the two hypotheses here. H o : H 1 : 3) ±ind the criTcal value and the test staTsTcs. State them here. 4) Is this a right, le² or two-tailed test? Sketch a normal curve, mark the criTcal value and test staTsTcs and shade the rejecTon region on the curve. 5) Use your calculator to Fnd the P value. State it here. 6) Do we reject or not reject the null hypothesis? Does this informaTon indicate that the mean life span for all Honolulu residents is less than 77 years? Include the test staTsTcs or P value in your discussion. 1 120314
Math215-StaTsTcal Concepts Name: _______________________ Problem 2: Critcal Job Skills In August 2011, 59% of employed adults in the United States reported that basic mathemaTcal skills were criTcal or important to their job. ±he director of the Career Center at a 4-year college believes that this percentage has increased because of all the new technology use in the workplaces. In order to prove his point, he takes a random sample of 280 employed adults and Fnds that 65% of them feel that basic mathemaTcal skills are criTcal or important to their job. Is this enough evidence for the director to support his belief that more employed adults think that mathemaTcal skills are important in their jobs? Use a 5% signiFcance level. 1) What type of hypothesis test is needed? What distribuTon should be used? Why? 2) State the two hypotheses here. H o : H 1 : 3) ²ind the criTcal value and the test staTsTcs. State them here. 4) Is this a right, le³ or two-tailed test? Sketch a normal curve, mark the criTcal value and test staTsTcs and shade the rejecTon region on the curve. 5) Use your calculator to Fnd the P value. State it here. 6) Do we reject or not reject the null hypothesis? Is there su´cient evidence to conclude that the percentage of employed adults who feel basic mathemaTcal skills are criTcal or very important to their job has increased? If you were the director, what kind of suggesTons would you include in your report to your supervisor? 2 120314

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