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The population mean height of a basketball player is 220 cm with a standard deviation of 20 cm. In a sample of 49 basketball players, what is the probability of getting a sample mean height of 215 cm or more?
Play 100 games of scraps and empirically determine an estimate for the probability of winning.
Describe a business situation where you would want to use a t-test. Why would you choose that test? What would you expect to show by doing this?
When would you use a two population test with a small sample size at your place of employment, in your education, or in politics?
The lower limit for a 95% confidence interval for the population proportion if a sample of size 200 had a 40 success is.
M&M Milk Chocolate candies colors are not all the same proportion. Blue consist of 24% of the bag pieces while Brown & Red only 13% each. The following was found:
Units with weights less than 5.8 or greater than 6.2 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)?
You need to estimate the mean number of travel days per year for outside salespeople. The mean of a small pilot study was 150 days, with a standard deviation of 42 days.
Calculate the p- value and use it to test H0 versus H a at each of a .10, .05, .01, and .001. d How much evidence is there that the mean composite satisfaction rating exceeds 42?
Determine the point estimate in this study? Compute the standard error in this example?
Let x be N(µ,σ2 ) and consider the transformation x=log(y) or equivalently y=exp(x). Find the mean and the variance of y by first determining E(exp(x)) and E[(exp(x)^2 ], by using the moment generating function of x.
Answer the following three questions based on what you know about statistics now.
Does the confidence interval contain the value of 35 mm, which is believed to be the standard deviation of sitting heights of women?
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