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The length of children's full-length movies are known to follow a normal distribution with a mean of 78 minutes and a SD of 25 minutes. Calculate the probability that a random sample of 40 children's full-length movies produces an average length of 85 minutes or more.
Suppose that X1,..,Xn form a random sample from the normal distribution with unknown mean M and unknown standard deviation S, and let m and s denote the MLEs of M and S. for the sample size n=17, find a value of k such that P(m > M +ks) = 0.95
Describe why the normal distribution can be used as an approximation to binomial distribution. What conditions should be met to use the normal distribution to approximate the binomial distribution? Why is a correction for continuity essential.
When we move from the basic normal distribution to the sampling distribution of the mean we substitute the standard error of the mean for the standard deviation when we make the conversion to the standardized normal distribution.
Average Precipitation For the first 7 months of the year, the average precipitation in Toledo, Ohio, is 19.32 inches. If the average precipitation is normally distributed with a standard deviation of 2.44 inches, find these probabilities.
Use the relative frequency approach to construct a probability distribution for the number of tests taken.
Test at the 1% significance level whether currently all adult men spend less than 11 hours per week watching sports on tv. Calculate the p-value for this problem and conduct the test using the p-value method.
What is the probability that exactly 3 members of the committee are Hispanic? (b) What is the probability that 3 or fewer members of the committee are Hispanic?
Standard error for regression equation - determination and non determination and explain the meaning of each.
A company has established a goal of processing 95 percent of its orders on the same date of receipt. However, only 485 out of 500 orders were actually processed on the same day
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.
In this table, my research is about the average amount of money people expect to spend on attomeys when they are injured. Is there a difference, depending on type of injury? Do people expect to spend more when the injury happened in a car, on job,..
This is a test regarding two dependent samples. There is sufficient evidence to conclude that the mean price of textbooks is lower at seller A.
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