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Explain the difference between the null hypothesis and the alternate hypothesis. How is the null hypothesis chosen (why is it null)? What is the importance of rejecting the null hypothesis in relation of the sample to the population? With a failure to reject the null hypothesis, can we make a general statement about the population based on the sample findings? Develop an idea you wish to test. Provide a 'verbal' statement which is a short description of your idea. Then write the null and alternate hypotheses. Do not use examples from the text.
Where should the warranty limits be set so that only 10 percent of the HDTVs need repairs at the manufacturer's expense?
Founder of modern probability and statistics theory Cardano asserted that if one throws a die three times the chance that a given number will show at least once is 50 percent. This is now recognized as the wrong answer. Calculate, what is a probab..
An economist found that a random sample of 42 high school teachers had an average annual salary of $56,490. A previous study showed that the population standard deviation is $4150. Find the 99% confidence interval for µ, the average annual salary ..
If we wanted to shorten the interval of the estimation of the true mean of Saturday sales to a width of $600 in total, what should the size of our sample be to achieve it?
A producer of pleasure boats wants to maximize revenue during the next month. Two types of boats are sold, x1 and x2. Type x1 sells for $40,000 and type x2 sells for $30,000. The x1 boats require 10 weeks of labor and 600 board feet of lumber each..
1. What do discrete random variables describe? 2. Explain joint probability. 3. Explain conditional probability.
The national average SAT score (for Verbal and Math) is 1028. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. If a random sample of 200 scores were selected and the sample mean were calcula..
The U.S. Commission of Crime wishes to estimate the fraction of crimes related to firearms in an area with one of the highest crime rates in the country.
A building developer has the opportunity to purchase several acres of land that is divided up into several lots for building single-family homes.
Suppose that the distribution of weekly water usage for single-family homes in a particular city is mound shaped and approximately symmetric. The mean is 1400 gallons, and the standard deviation is 300 gallons.
You have picked out the carton of 1 dozen eggs (that's 12 eggs) at grocery store. Find out the probability that at most two of eggs in carton are cracked.
A function sometimes associated with a continuous nonnegative random variable is the failure rate (or hazard rate) function which is defined as:
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