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Let X be a discrete random variable that represents the number of diagnostic services a child receives during an office visit to a pediatric specialist; these services include procedures such as blood tests and urine-analysis. The probability distribution for X appears below:
x 0 1 2 3 4P(X = x) 0.20 0.30 0.25 0.15 0.10
(i) If you select a random sample of 200 children and observe the number of diagnostic services each of them receives, what is the probability that the mean number of diagnostic services is more than 1.72? State clearly whether any assumption is needed and explain why.
(ii) If you select a random sample of 5 children only, what is the probability that the sample standard deviation is zero?
Dr Johnson wants to know if there is sufficient evidence to conclude that the grade distribution of his class is different than the historical grade distribution. Use a =.05 and .01 and perform a goodness of fit test.
A local consultant randomly selects a sample of 36 meals whose mean price is determined to be $8.75. Assuming that σ = $0.75, calculate a 95% confidence interval for the population mean price.
A random sample of 200 people was taken. Sixty percent of the people favor President Obama. The 95% confidence interval for the true population of people who favor Obama is?
Given the large difference between the two measures of central tendency, which of the two would you rely on in describing the average claim cost and why?
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In some ways, ANOVA is like what communications engineers refer to as "signal-to-noise ratio". What could I possibly mean by that statement?
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A random sample of 100 entering freshmen is selected. What is the distribution of the mean composite ACT score, for the University?
Toledo, OH has been experiencing improved economic growth following huge capital investments from companies like Chrysler. You have just been hired by RGP, an agency for facilitating business expansion and location in the Toledo metropolitan area.
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State which of the three diet colas (marked as A, B or C) he or she prefers. Draw a tree diagram depicting the sample space outcomes for the test results.
Otherwise you lose $1. If you make this wager very many times, what will be the mean outcome?
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