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1. Statisticians use terms like trial, outcome and success in a particular way in reference to probability. What do each of these three terms mean in this context?
2. How is the term independent used by Statisticians?
3. On a game show, eight people have won the grand prize and a total of 266 people have completed. Estimate the probability of winning the grand prize.
4. Bob compares his SAT Verbal score of 400 to Marge's ACT Verbal score of 20. "I whupped ya," he exclaims. "My score is 20 times your score!" Although his multiplication is good, his logic is faulty. Explain why.
The F-test cannot be used to answer whether or not there is a significant difference between the means.
What are common practices in writing literature reviews to avoid because they are forms of plagiarism? What should be done instead? How would you organize your literature before writing a lit review?
Answer the following questions using the null hypothesis as "the individual does not have the disease." a. What is the probability of Type I error? (Round your answer to 2 decimal places.) b. What is the probability of Type II error? (Round your answ..
Consider a random sample of size n from a normal distribution, Xi ~ N(m,9). a) Find the CRLB for the variances of unbiased estimators of m. b) Is the MLE, m(hat) = X(bar), a UMVUE of m?
A summary of data (deposits in thousands of dollars) from the survey is as follows: First National 1 = 4.1, σ1 = 1.2; City National 2 = 3.5, σ2 = 0.9. Use a 98% confidence interval to estimate the difference in the mean weekly deposits into IRAs f..
Is this correlation statistically significant? He also found the regression coefficient to be -1.66. Is this regression coefficient statistically significant? Explain why or why not for each.
Build a scatter plot, Find the value of the linear correlation coefficient r, and find the critical value of r using α=0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables.
Consumer Reports published an article on some sport-utility vehicles they had tested recently. They reported some basic information about each of the vehicles and the results of some tests conducted by their staff.
Use simple exponential smoothing with α = 0.3 to forecast battery sales for February through May. Assume that the forecast for January was for 22 batteries.
Given that we have collected pairs of observations on two variables X and Y , we would consider fitting a straight line with X as an explanatory variable if:
The mean area of several thousand apartments in a new development is advertised to be 1250 sq. ft. An engineer measured a random sample of apartments:
Determine the probability mass function of the salesperson's November sales (in $). What is the probabiity that his sales for November will be less than 100k? Find the mean and standard deviation of the November sales.
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