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A drug manufacturer wants to estimate the mean heart rate for patients with a certain heart condition. Because the condition is rare, the manufacturer can only find 14 people with the condition currently untreated. From this small sample, the mean heart rate is 101 beats per minute with a standard deviation of 8.
(a) Find a 99% confidence interval for the true mean heart rate of all people with this untreated condition. Show your calculations.
(b) Interpret this confidence interval and write a sentence that explains it.
A random sample of 5 parks is selected and the number of acres is shown at alpha= 0.05, find the critical value. 944, 1036, 790, 5842,566
In the study of 15 taxi drivers, average experience was 11.2 years. Standard deviation was 2. At α = .10, is number of years' experience of taxi drivers really less than taxi company claimed?
A sample of 15 workers revealed the following number of minutes traveled. Develop a 98 percent confidence interval for the population mean. Interpret the result. Please explain how you calculate.
Test Scores: mean=100 variance = 225 Years of Service: mean=5 variance = 81 Of test scores and years of service, which measure has the greater dispersion?
Show that if Z1 and Z2 are independent standard normal random variables, then for all ρ (correlation), Z 1 and ρZ 1 +sqrt(1-ρ 2 )*Z 2 are standard normal with correlation ρ.
Suppose you conduct survey asking people if they support something or if they like some product or if they watch some TV-show.
ACT math scores for 2007 were Normally distributed with mean 21.0 and standard deviation 5.1. What is Eleanor's standardized score? Round your answer to 2 decimal places.
Construct a 90% confidence interval for the mean nicotine content of this brand of cigarette. The population of total compensations of CEOs in the service industry is approximately normally distributed.
Define Yt = et for t not= 1 and Yt = 1/sqrt2 (e_t-1_squared - 1) for t=1. Show that Yt is a white noise process despite the fact that Y1 is perfectly predictable from the earlier observation.
The management at Black Angus is considering hiring 8 additional servers. Currently 12 servers are serving 4 tables each per hour. Servers make $11.25 on overtime per hour.
In a recent poll, 126 people were asked if they liked dogs, and 6% said they did. Find the margin of error of this poll, at the 90% confidence level.
The Warren County Telephone Company claims in its annual report that "the typical customer spends $70 per month on local and long-distance service.
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