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Construct 90, 95, and 99 percent confidence intervals for the population mean, and state the practical and problistic interpretations of each. Indicate which interpretation you think would be more appropriate to use when discussing confidence intervals and the reason for your choice. Explain why the three intervals that you construct are not of equal width. Indicate which of the three intervals you would prefer to use as an estimate of the population mean, and state your reason.
We wish to estimate the mean serum indirect bilirubin level of 4-day-old infants. The mean for a sample of 16 infants was found to be 5.98 mg/ 100 cc. Assume the bilirubin levels in 4-day-old infants are approximately normally distributed with a standard deviation of 3.5 mg/ 100 cc.
Based on the results of the peliminary poll, how large a sample is required for the main poll, assuming that the main poll should have a margin of error of 3.3% and a confidence level of 96.7%.
A contractor is considering a sale that promises a profit of $37,000 with a probability of 0.7 or a loss of (due to bad weather and such) of $18,000 with a probability of 0.3. What is the expected profit?
In the belief that Statistics is too hard, a student claims that the mean score on a final exam is less then 70. 15 scores will be chosen at random to test this claim.
Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. You bought four tires. What is the probability that the average mileage of the four tires exceeds 66,000 miles?
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.
For the population with mean of (u)=50 and standard deviation of (o)=10, how much error on average would you expect between sample mean (M) and population mean for given samples
Use regression analysis to investigate the relationship between value and income. Discuss your findings. Use regression analysis to investigate the relationship between value and revenue. Discuss your findings.
Discuss what happens to the width of the confidence interval as the confidence level is increased. Does this seem reasonable? Explain.
The mean number of chocolate chips per cookie is 6.1. What is the probability that she will find less than 5 chips in a particular cookie?
The sample size n, the sample means, and the sample standard deviations for the two groups are given
we must be able to assign a probability distribution or probability function to the random variable X. So, what is the distribution of X when X ~ bin(n, p)?
A quality control engineer wants to check if a particular product meets the specification of 90% of the entire product shipped is in perfect condition. He randomly selects a sample of 10 items of the product from a large lot ready to be shipped.
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