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1.Windy manger gives each of its employees an aptitude test. The scores on the test are...

1.Windy manger gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 12. A simple random sample of 144 is taken from an infinite population. What is the probability that the average aptitude test in the sample will be between 72.5 and 77.5? (show all calculations; round to second decimal place)

2.

A study found that, in year 2010, 59% of first-time, full-time college students graduate in six years. National Center for Educational Statistics wants to determine whether the percentage has increased in year 2014. Suppose a sample of 400 college students who were enrolled in fall 2008 is collected. (20 points)

a) Formulate the hypotheses. (10 points)

b) If the sample results show that 250 out of 400 college students have graduated in 2014,

i) what is the critical value of Z?

ii) What is the p-value for your hypothesis test?

iii) At α=.05, what is your conclusion?

(round to fourth decimal place) Hint: this is a proportion question

Math   Statistics-And-Probability   
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