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Suppose that the specifications for a certain kind of optical glass require, among other things, that the index of refraction be uniform to the extent that s must not exceed 0.0075. A random sample of 10 pieces of this glass is taken from each (large) shipment and the shipment is rejected as unsatisfactory if the sample variance is too large; specifically, if the probability of obtaining such a large value of s^2 (s(squared)), is less than or equal to 0.01 even though s = 0.0075. What is to be done with a shipment of this glass for which the sample variance of the indices of refraction equaled 0.000182?
Find out the expected winnings for a person who buys one ticket.
All standard IQ test scores are normally distributed and are set up so that the mean score is 100. However, the standard deviation differs from test to test.
For a population with a mean of (u)=50 and a standard deviation of (o)=10, how much error on average would you expect between the sample mean (M) and the population mean for the following samples
Students need a score of 60 points to pass the exam. What is the probability that a randomly selected student will pas the exam? (P(X ≥ 60))
Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?
If you know you need a sample size of 1,063 out of 300,000 to get a 95% confidence level and a 3% confidence interval what steps would you take to get a random sample?
The following study was developed by Economist Simon Fass. Fass surveyed a sample population of low-income households in St. Martin. The variables analyzed were monthly income per adult and choice of rental contract for housing.
Make a purchase using the internet. Test the claim that the proportion of consumers ages 35-44 who plan to make purchases using the internet has increased at α = 0.01.
Bakery is a random variable X that has an exponential distribution with mean equal to 4 tons. The cost of the flour is proportional to Y=3X+1.
Determine and plot the probability mass function and probability distribution function of the contract award amount (in millions of dollars).
Assume that the variable B is the number of years of experience. Suppose the person has 2 years of college and 7 years of experience. What should their salary be?
Random sample of 150 viewers last night revealed 53 watched news on WNAE, 64 watched on WRRN, and 33 on WSPD. At .05 significance level, is there a difference in proportion of viewers watching three channels?
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