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Curiously, this value is the tail area beyond 4.5 standard deviations from the mean; i.e., Pr (Z > 4.5) = Pr (Y > + 4.5 ) = 0.000 003 398. The 4.5 standard deviations is the difference between 6 (the idea from which the program takes its name) and an assumed 1.5 shift of the process centre from the mean. The vertical axis in each of the six diagrams shown overleaf is labelled f (z); give both the name and the equation for f (z). ? Explain briefly. Answer the same question if the Signs were replaced by < signs. How would the values of the tail probabilities given above be affected if the > signs in the inequalities were replaced by ? Explain briefly. Why are the absolute value signs used in the two-tail probability expressions above?
Assume that demand for the upcoming weekend is normally distributed with a standard deviation of 30. What is the probability all the hotel's rooms will be rented?
Identify each variable in the formula for the binomial probability density function. Also, explain what the fraction: n! / (n-x)!x! calculates.
Computer-generated output indicates that the p-value for the sample is 0.01. Carefully interpret this p-value. At what levels of significance would you reject the null hypothesis?
Estimate the true weight with an error of 0.03 grams with 99 percent confidence? How to construct a 95 percent confidence interval for the population proportion of positive drug tests. How to tell if the normality distribution?
In an early study, researchers at an Ivy University found that 33% of the freshmen had received at least one A in their first semester.
On a test whose distribution is approximately normal with a mean of 50 and a standard deviation of 10, the results for three students were reported as follows:
If the sample mean is 12.7 oz. and the sample standard deviation is 0.70 oz., find the 95% confidence interval of the true mean.
What percent of the sales representatives earn more than $42,000 per year? What percent of the sales representatives earn between $32,000 and $42,000?
A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each loation.
A customer from Cavallaro's Fruit Stand picks a sample of 5 oranges at random from a crate containing 80 oranges, of which 6 are rotten. What is the probability that the sample contains 1 or more rotten oranges? (Round your answer to three decimal..
Think about a real life situation that follows a linear equation, with the independent variable being years. What would the slope tell you about future years?
Compare a tabular cum sum chart using standardized values h = 5 and k = 1/2. What is the information you learn.
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