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Confidence Intervals for Population Proportions
The new Twinkle bulb is being developed to last more than 1000 hours. A random sample of 100 of these new bulbs is selected from the production line. It was found that 64 lasted more than 1000 hours. Find the point estimate for the population proportion, the margin of error for a 95% confidence interval and then construct to the 95% confidence interval for the population proportion
a. Find the margin of error E =
b. Construct a 95% confidence interval for the population proportion p of all Twinkle bulbs =
Assume that 5% of men and only .25% of women are colorblind. A colorblind person is chosen at random:
Whole Foods needs at least 1,000 units of beets. The Ames supplier can supply at least 400 units and the Zearing supplier can supply no more than 900 units. Develop constraints for these conditions.
A random sample of the lifetime of 49 UltraIllum light bulbs has a mean of 3,960 hours and a standard deviation of 200 hours. Construct a 95% confidence interval estimate of the mean lifetime for all UltraIllum light bulbs.
Find out the following: Mean swipe rate, Standard deviation of the swipe rate.
An educational study uses a simple pre-post design to assess the efficacy of a computer tutor for solving inequalities. Twelve pilot students participate. Each student is given a pre-test, then participates in six sessions using the tutor, then i..
Give an example of a null and alternative hypotheses. This can be a personal item or something at work. Additionally, identify the Type I and Type II Errors that could occur with your decision-making process.
A certain company relies heavily on phone orders. Suppose past records show that R% of all incoming phone calls to this company are orders from customers.
Is it reasonable typical worker does not miss any days during a pay period?
The mean number of passengers per cruise is 1,820 and the standard deviation is 120.
The random variable x is known to be uniformly distributed between 1.0 and 1.5.
The average number of typos on one page of a manuscript is 8. What is the probability that 4 to 6 type appear on 2 pages of the manuscript? Imagine Poisson distribution.
Derive the formula for the expected value Y, derive the formula for the moment generating function of Y
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