SOLUTION: Bill runs a bicycle repair shop. During the summer months the number of jobs per week follows a normal distribution with mean 45 and deviation 9. For a week chosen at random find

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Question 437265: Bill runs a bicycle repair shop. During the summer months the number of jobs per week follows a normal distribution with mean 45 and deviation 9. For a week chosen at random find the probability that he will have 52 or more jobs.
Travis took a standardized test to try to get credit for first-year Spanish. His standardized score was 1.86. The mean score for the exam was 100 with standard deviation 11.2. Compute Travis raw (actual) score.

the language department requires a raw score of 125 to get credit for this class. Will Travis get credit for this course based on his exam? Explain.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Bill runs a bicycle repair shop. During the summer months the number of jobs per week follows a normal distribution with mean 45 and deviation 9. For a week chosen at random find the probability that he will have 52 or more jobs.
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z(52) = (52-45)/9 = 7/9
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P(x>= 52) = P(z>= 7/9) = normalcdf(7/9,100) = 0.2184
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Travis took a standardized test to try to get credit for first-year Spanish. His standardized score was 1.86. The mean score for the exam was 100 with standard deviation 11.2. Compute Travis raw (actual) score.
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x = zs+u
raw score = 1.86*11.2+100 = 120.83
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the language department requires a raw score of 125 to get credit for this class. Will Travis get credit for this course based on his exam? Explain.
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No, his score is 120.83.
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cheers,
Stan H.
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