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A company produces packets of soap powder labeled "Giant Size 30 oz" The actual weight of soap powder in such a box has a Normal distribution with a mean of 32 oz and a standard deviation of 0.9 oz. To avoid dissatisfied customers, a box of soap is considered underweight if it weighs less than 30 oz. To avoid losing money, the top 5% (the heaviest 5%) is labeled overweight.
Q1: What proportion of boxes is underweight?
Q2: How heavy does a box have to be in order for the box to be labeled overweight?
Compare the two distributions graphically, and then use the two-sample t test to compare the average SATM scores of males and females.
Cathy and Jen plan to meet at a cafe, and each will arrive at the cafe at a random time between 11:00 AM and 11:30 AM, independently of each other. Find the probability that the first to arrive has to wait between five and ten minutes for the othe..
Is there evidence that the machine is not meeting the manufacturers specifications for mean breaking strength? (Use a 0.05 level of significance.)
A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:
Calculate the among groups degrees of freedom, determine if the mean ratios for the four neighborhoods are the same?
An insurance representative wants to determine if the proportions of women and men who buy the different policy types are the same. The actual sales results for 50 women and 50 men are
The accompanying two-way table was constructed using data in the article "Television Viewing and Physical Fitness in Adults" (Research Quarterly for Exercise and Sport, 1990: 315-320).
Find the required probability and determine whether the given sample mean would be considered unusual.
A. What is the probability of randomly selecting 1 woman with a height less than 65.5 inches?
1. Write a general Metropolis or Metropolis-Hastings algorithm to generate a sample from a target distribution π, where π(x) ∝ x34(1 - x)38(2 + x)125. Use the proposal density as q(x, y) = 1 on the interval [0, 1].
suppose the reaction time in seconds to certain stimulus is a continuous random variable x with cumulative distribution
the cost of parking is 9 per day. suppose that if you were to park illegally the probability of getting a ticket is
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