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The mean diastolic blood pressure among American men aged 18-44 is known to be 81 mmHg. A random sample 150 Canadian males in the same age group yielded a mean diastolic blood pressure of 78.75 mm Hg with a standard deviation of 12 mm Hg.
(a) Is there sufficient evidence at ? = .01 to conclude that the mean diastolic blood pressure among Canadian men aged 18-44 differs significantly from that of their American counterparts? (Use the t-test; the procedure is outlined on pg 58 of the text).
(b) What assumption (if any) about the population (from which the sample came) should hold in order that the t-test in (a) be valid? Explain.
(c) Conduct the test in (a) using a confidence interval with the appropriate level of confidence.
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.
How large a sample should she check in order to be 93 percent confident that the true proportion is estimated to within 0.014?
Define or give an example of a hypothetical construct. Explain why operational definitions are needed to define and to measure constructs.
A small pilot study is being conducted to determine the association between maternal age and birth weight. First, from all the single births in 2009 at Hospital X with mothers aged ? 20 years, we randomly selected 15 records.
your task is to interview a representative sample of attendees to a large concert.the schedule includes 200 live
In a random sample of 225 students at a university, 180 stated that they were nonsmokers. Based on this sample, compute a 95% confidence interval for the proportion of all students at the university who are nonsmokers.
San francisco also reported that a scientific polling organization found that new zealanders favor the law by a margin of 56.4% to 39.3%. Explain why the two polls can give such widely differing results and which poll is likely to be more reliable..
Suppose that the scores of architects on a particular creativity test are normally distributed.
Determine marginal probability distributions of X and Y . Compute conditional probability P ( Y = 2 | X = 1)
The data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type.
Determine if there is any difference between the pulse rates of smokers and nonsmokers. Compute the p-value of the test. Can you draw any conclusions?
Identify the point estimate of the average number of available hotel rooms in this lesson from each sample. Construct and Interpret a 95% confidence level for the true mean number of available hotel rooms, based on the point estimate of each sampl..
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