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Osteoporosis is a condition in which bone density decreases, often resulting in broken bones. Bone density usually peaks at age 30 and decreases thereafter. To understand more about this condition a random sample of women aged 50 and over were recruited. Each woman's bone density loss and age are recorded in file Xr04-83.
a) Compute the mean and median of these data.
b) Compute the standard deviation of the bone density losses.
c) Compute the coefficient of determination for bone loss and women's age and describe what this statistic means.
Note that under the exponential assumption, P(X>t) = exp(-t/theta). If t=5, use the result from (a) to find an approximate one-sided lower 95% confidence limit for theta.
The average cost per night of a hotel room in New York City is $273 (SmartMoney, March 2009). Assume this estimate is based on a sample of 45 hotels and that the sample standard deviation is $65.
To test is there any significant difference among two proportions. The Damon family owns a large grape vineyard in western New York along Lake Erie.
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below.
Determine the margin of error that corresponds to the given values of n (times) and x (successes) and the degree of confidence: n=1400, x=420, 95%. Go 3 decimal places of precision.
The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours.
Based on chi-square table, what is the most correct statement which can be made about the p-value for the test?
The choices are to be designated by the letter a, b, c, d, and e. The professor wishes to use a random-number table to determine which letter choice should correspond to the correct answer for a question. Using the number correspondence 1 for a, 2 fo..
When investigating the distribution of a data set, which is more effective: a frequency distribution or a histogram? Why?
The grade point average of the students at UTC is 2.80 with a standard deviation of 0.84. The grade point average of students at UTK is 2.4 with a standard deviation of 0.84. Which university shows a more dispersed grade distribution?
The management of a regional bus line thought its cost of gas might be correlated with its passenger/mile ratio. Comment on the data and correlation matrix below.
You are planning to test a vaccine for a virus that has no vaccine. Since the disease is usually not serious, you will expose 100 volunteers to the virus. After some time, you will record whether or not each volunteer has been infected.
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