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Medicine and Clinical Studies
The traditional method for people to test their blood glucose level is to prick a finger with a short needle, place a drop of blood on a test strip, and then use a special measuring device. The process can be painful. A group of scientists has developed a noninvasive, painless approach to measuring glucose level using infrared laser light. A random sample of healthy adults was obtained.
The glucose level was measured in each using the traditional method and the laser light approach (both measurements in milligrams per deciliter). Assume the underlying distribution of pairwise differences is continuous and symmetric.
a. Use the Wilcoxon signed-rank test to determine whether there is any evidence that the median glucose levels are different for the two procedures. Use a = 0.01.
b. Using your answer in part (a), do you believe the new approach is accurate and should be recommended for people with diabetes who test their glucose level regularly? Justify your answer.
a researcher would like to determine if relaxation training will affect the number of headaches for chronic headache
A student wants their College to offer Kickboxing classes as a Physical Education class. To justify that the class is desired he surveys 200 students and finds that 56% would be interested in taking the class.
An accounting firm is planning for the next tax preparation season. From last year's returns, the firm collects a systematic random sample of 100 filings.
A survey showed that 23 % of college students read newspapers on a regular basis and that 83 % of college students regularly watch the news on TV. The survey also showed that 20 % of college students both follow TV news regularly and read newspape..
The length of a particular telemarketing phone call has an exponential distribution with a mean equal to 1.5 minutes. Find the probability that the length of a randomly selected call will be between 30 - 50 minutes and 1 minuter or longer.
Find the population standard deviation using the formula containing the mean (the original formula).
Compute correlation loading coefficients using (a) the correlation matrix, and (b) the covariance matrix. How do the two sets of coefficients compare to each other? Are both sets equally informative? Explain (see also Exercise 3.23).
Specify the sampling frame for this survey, and explain whether or not you think the problem of "using the wrong sampling frame" was a difficulty here.
High profits provide the incentive for firms to expand output and for more firms to enter the industry in the long run. For a firm of above-average efficiency.
A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most.
a) Compute a point estimate for ρ. b) What are the upper and lower bounds for the 90% confidence interval for ρ (4 decimals)?
An urn contains three red and two white balls. A ball is drawn, and then it and another ball of the same color are placed back in the urn.
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