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Using the following data points (6, 6, 8, 12, 11, 9, 6, 7, 8, 10), create a situational context for the data (for example: the data points represents the number of Pepsi's I consumed during my last 10 On-ground class meetings). Calculate and post your 'answers' or interpretations of (a little bit of a review of the fundamental concepts):
a. The three Measures of Center (Mean, Median, and Mode)b. The two Measures of Spread (Range, Standard Deviation)c. How you judged the "representativeness" of the MEAN with respect to the original data and what was your "verdict?"
Generate a 95 % confidence interval for the difference in proportions of patients who report pain relief.
The production manager at Bellevue Steel, a manufacturer of wheelchairs, wants to perform a second analysis of the number of defective wheelchairs produced on the day shift and afternoon shift.
A neurologist wants to detect whether the mean response time for drug-injected rats differs from a control group not injected. The control group has the mean response time of 1.2 seconds.
The table given below shows numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status. Determine the probability that they are overweight?
Assuming that the population standard deviations are the same, perform a two independent samples t-test on the hypotheses Null Hypothesis: μ1 = μ2, Alternative Hypothesis: μ1 ≠ μ2. What is the test statistic and p-value of this test?
Determine the mean and variance for the number of Version 3 that someone would expect to get if they were to purchase 18 of the board games at random.
A sample of 140 golfers showed that their average score on a particular golf course was 93.38 with a standard deviation of 4.36. Answer each of the following (show all work and state the final answer to at least two decimal places.):
Suppose you had flipped a fair coin 19 times and "tails" had come up each time. The probability of now tossing a "head" on the 20th flip would then be:
When creating a 99% confidence interval for the true average difference in cholesterol levels by the drug, what is the margin of error?
What happens to the confidence interval when we go from a 95% confidence level to a 99% confidence level? Is this desirable? When would we want to use a 99% confidence interval?
A film alliance used a random sample of 50 U.S. citizens to estimate that the typical American spent 78 hours watching videos and DVDs last year. The standard deviation of this sample was 9 hours.
Construct a stem-and leaf display for the data set? Construct a box plot for the data set? Draw conclusions about the data (e.g. are there any outliers, etc, etc.).
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