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Directions: Complete each question in the space provided showing all necessary work. For problems requiring statistical functions on a calculator, write out the calculator functions you use (e.g. (−1099,24,22.5,0.5√70)). Clearly identify your final answers. A T-table is included on the third page for your reference.

1. The length of time, in hours, it takes an "over 40" group of men to play one soccer match is normally distributed with a mean of 1.4 hours and a standard deviation of 0.45 hours. A sample of size 80 is drawn randomly from the population.

a. Find the probability that the sample mean is between 1.25 hours and 1.75 hours. (2 points)

b. Find the probability that the average time is more than 1.75 hours. (2 points)

c. Find the 85th percentile for the average match length (use invNorm on a TI calculator). (2 points)

Sagot :

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