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The confidence level in a confidence interval for µ is: A) the probability that the interval contains µ B) the probability that the interval does not contain µ C) the probability of Type I error for the associated hypothesis testing problem D) the probability of Type II error for the associated hypothesis testing problem E) the approximate proportion of intervals which contains µ when a large number confidence intervals ins contained by repeating the sampling experiment
A local health center noted that in a sample of 400 patients 80 were referred to them by the local hospital.a.Provide a 95% confidence interval for all the patients who are referred to the health center by the hospital.b.What size sample would be required to estimate the proportion of hospital referrals with a margin of error of 0.04 or less at 95% confidence?
A random sample of n = 15 heat pumps of a certain type yielded the following observations on lifetime (in years):2.0 1.1 6.0 1.7 5.3 0.4 1.0 5.315.7 0.9 4.8 0.9 12.2 5.3 0.6(a) Assume that the lifetime distribution is exponential and use an argument parallel to that of this example to obtain a 95% CI for expected (true average) lifetime.(Round your answers to two decimal places.)(b) How should the interval of part (a) be altered to achieve a confidence...
An article in the Journal of Agricultural Science [“The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of Wheat with Variety, Climatic andNitrogen Fertilizer Effects” (1997, Vol. 128, pp. 135–142)] investigated means of wheat grain crude protein content (CP) and Hagberg falling number (HFN) surveyed inthe UK. The analysis used a variety of nitrogen fertilizer applications (kg N/ha), temperature (ºC), and total monthly rainfall (mm). The data shown below describetemperatures for wheat grown at Harper Adams Agricultural College...
A random sample of 41 car owners was taken to try to determine the mean length of car ownership for all owners. The sample resulted in a mean of 3.98 years and a standard deviation of 1.5 years. The data is normally distributed. Form a 95% confidence interval for the mean length of car ownership. The confidence interval would be 3.98 what margin of error?
A food safety guideline is that the mercury in fish should be below 1 part per million (ppm). Listed below are the amounts of mercury (ppm) found in tuna sushi sampled at different stores in a major city. Construct a 99% confidence interval estimate of the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna sushi?
In a test of the effectiveness of garlic for lowering cholesterol, 47 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before−after) in their levels of LDL cholesterol (in mg/dL) have a mean of 4.8 and a standard deviation of 16.9. Construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic...
construct a confidence interval:
Construct a confidence interval for Pi-P2 at the given level of confidence x = 27.-253. x2 40,12 - 321, 95% confidence The researchers are confident the difference between the two population proportions. Pr - P2, is between and (Use ascending order. Type an integer or decimal rounded to three decimal places as needed)