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Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. Unfortunately, the treatment also reduces the strength of the fabric. The breaking strength of untreated fabric is normally distributed with mean 51.6 pounds and standard deviation 1.9 pounds. The same type of fabric after treatment has normally distributed breaking strength with mean 28.7 pounds and standard deviation 1.7 pounds. A clothing manufacturer tests 3 specimens of each fabric. All 6 strength measurements are independent.
(a) What is the probability that the mean breaking strength of the 3 untreated specimens exceeds 50 pounds?
(b) What is the probability that the mean breaking strength of the 3 untreated specimens is at least 25 pounds greater than the mean strength of the 3 treated specimens?
Linear programming problems. Computethe following linear programming problem. Among which of the following points (X,Y) is feasible.
Tests of hypothesis for two populations. List one test statistic that could be used for comparing two populations with hypothesis testing. Can you think of an example where this could be used?
Suppose a sequence of independent trials is performed where each trial results in either success or failure. Suppose X=the number of failures before the first success, with p=probability of success on any one trial.
Findout the margin of error for this survey if we want a 99 percent confidence in our estimate of the percent of adults over 50 who take vitamin supplements.
A cell phone company collects data from a random sample of 500 households. The results indicate that 135 of the households would add an extra cellular number, provided it was offered at a reduced monthly cost.
We have been informed that the stock has gone up 20%. What is the probability of a rise or fall in the GDP?
Does this sample provide enough evidence to conclude that self-esteem scores for group-participation adolescents are significantly different from those of the general population? Use a two-tailed test with α = .01.
What is the probability that between 133 and 171 of the business travelers say that the reason for their most recent business trip was an internal company visit?
There are 10 questions on a true-false test. A student feels unprepared for this test and randomly guesses the answer for each of these.
What are the requirements that must be met for a regression analysis? What happens if these requirements are violated? Why is the analysis of residuals important?
Determine the best replacement policy over the next five years?
Discuss the following questions: Of what use is intervention and prevention for this population? What needs to be done in the American justice system to combat crimes committed by the group you have chosen to study?
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