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1. The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes.
Answer the following questions.
a. What is the probability of completing the exam in one hour or less?
b. What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes?
c. Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time?
Estimate the 95% confidence interval for the proportion of the electorate that support this policy.
Compare the margin of error for the interval estimates in parts (a), (b), and (c). The margin of error (Increases or Decreases) as p-bar gets smaller.
A group of three students is to be randomly selected froma group of 1 freshman, 1 sophomore, 3 juniors and 3 seniors. Let Y1 and Y2 denote the number of juniors and seniors, a) What is the joint probability distribution for Y1 and Y2?
At a used-book sale, 100 books are adult books and 160 are children's books. Of the adult books, 70 are nonfiction while 60 of the children's books are nonfiction. If a book is selected at random, find the probability that is is:
How would you interpret the findings of a correlation study that reported a linear correlation coefficient of +0.3?
Suppose that the lives of all such bulbs have a normal distribution with a mean of 750 hours and a standard deviation of 55 hours. Let x (sample mean) be the mean life of range sample of 25 such bulbs.
Women in the U.S. Air Force have hands that are 6.9 inches on the average (from the tip of the middle finger to the heel of the hand). The standard deviation is 0.34 inches. Assume that hand length is normally distributed.
Graph the p.d.f and show that the probability of the part failing in the first 200 weeks is 1/8
According to the Sleep Foundation, the average night's sleep is 6.8 hours. Assume the standard deviation is 0.6 hours and the probability distribution is normal. a. What is the probability that a randomly selected person sleeps more than 8 hours?
Assume you are using ANOVA to study some phenomenon. There are three treatment levels and a total of 17 people in the study. Complete the following ANOVA table.
Assume you want to repeat the FDA experiment to achieve an estimation of the mean μ of the amount of caffeine content of a cup of coffee.
Easy-Fly Airline took a random sample of 25 flights to determine if the mean time it takes for luggage to reach the travelers departing from a flight is less than 15 minutes. The sample mean was found to be 13.8 minutes with a standard deviation o..
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