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An SRS of 400 American adults is asked, "What do you think is the most serious problem facing our schools?" Suppose that in fact 30% of all adults would answer "violence" if asked this question. The proportion of the sample who answer "violence" will vary in repeated sampling. In fact, we can assign probabilities to values of using the normal density curve with mean 0.30 and standard deviation 0.023. Use this density curve to find the probabilities of the following events.
Find out the expected shape of distribution of sample mean?
From a random sample of 48 days in a recent year, U.S. gasoline prices had a mean of $2.34 (wow - that's old data!) and a standard deviation of $0.32. Construct the 90% and 95% confidence intervals for the population mean.
A U.S. Department of Justice report included the claim that "in spouse murder cases, wife defendants were less likely to be convicted than husband defendants
The annual income of a large group of supervisors at Belco Industries follows the normal distribution. The mean amount earned yearly is $48,000 and the standard deviation is $1,200.
Under older Federal Aviation Administration rules, airlines had to estimate the weight of a passenger as 185 pounds. That amount is for an adult traveling in winter, and it includes 20 pounds of carry-on baggage.
What are some of the words that form clues? How does one know what is a population parameter and a test statistic?
The shell thicknesses of the eggs produced by a large flock of hens follow approximately a normal distribution with mean equal to 0.38 mm and standard deviation equal to 0.03 mm. Find the 95th percentile of the thickness distribution.
A personnel manager is concerned about absenteeism. She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek.
Construct a 95% confidence interval for the average amount its credit card customers spent on their first visit to the chain's new store in the mall assuming that the amount spent follows a normal distribution.
A battery manufacturer advertises the average life of its automobile battery is 60 months.what % of batteries should last between 50 and 70 months? The standard deviation is 10 months.
A researcher is estmating influence of treatment using sample selected from normally distributed population with mean of µ = 80 and standard deviation of σ = 20. Calculate power of test if researcher uses sample of n = 25 individuals.
Critically illustrate out the range? What is the arithmetic mean income? What is the population variance?
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