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1. In order to identify baby growth patterns that are unusual, we need to construct a confidence interval estimate of the mean head circumference of all babies that are 2 months old. A random sample of 100 babies is obtained and the mean head circumference is found to 40.6cm. Assuming that the population standard deviation is known to be 1.6 cm. Find a 95% confidence interval estimate for the mean head circumference of all two-moth old babies. What aspect of this problem is not realistic? 2. A study was conducted to estimate hospital costs for accident victims who wore seat belts. Twenty randomly selected cases have a distribution which appears to be symmetric and bell-shaped with a mean of $9004 and a standard deviation of $5629 based on data from the U. S. Department of Transportation. Construct a 99% confidence interval for the mean of all such costs. For the following problems: 1. State the Null Hypothesis and the Alternative Hypothesis 2. Determine the test statistic. 3. Determine the P-value 4. Make a decision regarding the hypotheses based on the P-value and the Level of Significance. 3. According to the National Institute for Occupational Safety and Health, job stress poses a major threat to the health of workers. A national survey of restaurant employees found that 75% said that job stress had a negative impact on their personal lives. A sample of 100 employees of a restaurant chain finds that 68 answer "Yes" when asked: "Does job stress have a negative impact on your personal life?" Is this good reason to think that the proportion of all employees of this chain who would say "Yes" differs from the national proportion? Use a 5% level of significance. 4. The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has a mean weight of 182.9lbs. Assuming that the population standard deviation is known to be 121.8lbs, use a 0.05 level of significance to test the claim the population mean of all such bear weights is less than 200lbs. 5. The birth weights (in kilograms) are recorded for a sample of male babies born to mothers taking a special vitamin supplement (based on data from the New York Department of Health). When testing the claim that the mean birth weight for all male babies of mothers given vitamins is equal to 3.39kg, which is the mean weight of the population of all male babies, a sample of 16 babies had a mean of 3.675kg and a standard deviation of 0.657. Based on these results, does the vitamin supplement appear to have any effect on the mean birth weight? Use the 0.01 level of significance.
Suppose that a malfunction was reported and it was found to be caused by other human errors. What is the probability that it came from station C?
56% are enrolled in school. If a sample of 500 such children is randomly selected, find the probability that at least 250 will be enrolled in school.
The average number of television sets in the sample households turns out to be 1.86, and the SD is 0.86. Find a 95% confidence interval for the average number of television sets per household.
Write three quadratic equations within a, b, c (coefficients of x^2, x and the constant as 1 integers, 2 rational, 3 irrational numbers).
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the afternoon shift than on the day shift.
Assume grades in college accounting class are normally distributed with a mean of 82 and a standard deviation of 7. what is the probability that a randomly selected student from this class will have a grade lower than 65?
You are the member of the marketing team at Sara Bellum's Pizza - the pizza for people who think too much!! Your mission is to evaluate two locations and determine if there is any difference in their suitability as locations for the next Sara Bell..
Test whether there is a difference in the mean of times men and women and determine the p-value.
Ccarry out a Z test using the five steps hypothesis testing with a two-tailed test at the .05 significance level, and make a drawing of the distributions involved.
probability values based on normal distribution.the old exit exam followed a normal distribution with micro 500 and
With a Rejection Region of 8, 9 or 10, what is the probability of a Type II error, if the job applicant has a probability of identifying the odd sample with p = 0.5?
At the .05 significance level, can we conclude that the guideline is still reasonable?
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