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We want to know whether the variance of the aerobic capacity of smokers is greater than the variance in non smokers. We test the aerobic capacity of n1=21 smokers and n2=18 non smokers and obtain s12=13 and s22=3. Test the nulll hypothesis that the variance are the-same against the alternative hypothesis that they are different using alpha=0.01.
Suppose that by the end of 2009, that percentage was 85%. If a sample of 10 U.S. adults is selected, what is the probability that:
Assuming that the sample is sufficiently large, construct a 90% confidence interval for the proportion of all adults in the community.
In the previous problem, the time that it takes the airbag to completely fill up from the moment of activation has an exponential distribution with mean 1.
Make two separate stemplots (or dotplots or histograms). Does either data set show strong skew? If so, is the distribution right-skewed or left-skewed?
The following probability matrix contains a breakdown on the age and gender of U.S. physicians in a recent year, as reported by the American Medical Association
Are boys more likely? We hear that newborn babies are more likely to be boys than girls. Is this true? A random sample of 25,468 firstborn children included.
Provide an estimate of this difference. Explain why it is incorrect to use the two-sample t test to see if the means differ
Assume heights of adult males have a mean of 69 inches. Tell whether each of the following distributions would be centered to the left of 69, at 69.
Calculation of Standard Deviation and Variance
Name two measures of the center of a distribution, and state the conditions under which each is preferred for describing the typical value of a single data set.
If you know that the number of possible values a random variable can have is finite, do you know whether the random variable is discrete or continuous?
In a recent study, 584 out of 875 people were able to pass the test. Find a test statistic for the proposition.
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