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The average age of trees in a large local park is 60 years with a standard deviation of 2.2 years. A simple random sample of 400 trees is selected, and the sample mean age of these trees is computed.
We know the random variable has an approximately normal distribution because of
a. the law of large numbers.b. the central limit theorem.c. the 68-95-99.7 rule.d. the fact that probability is the long-run proportion of times an event occurs.
Find probability using normal distribution.Using N (1152, 84), the Normal model for weight of Angus steers, what percent of steers weigh.
In the real world, a given null hypothesis is false; but the collected data lead to the null hypothesis being accepted. That is, the data lead to a failure to reject the null hypothesis.
a) Find the marginal density of Y. b) Find E(X) HINT: What is E (X|Y=y) ?
The mean difference in times between the experiment is -9.4 minutes with a standard deviation of 2.8 minutes). Construct a 90% CI for the proportion of patients who experience stomach upset with the experimental medication.
Conceptually we would expect the probability of newborn males and females to be the same. However, census reports indicate that the ratios of males and females in various countries do not conform to the theoretical prediction.
The gambler is paid later as follows, depending on the number of winners he picked. What is his expected gain? Remember, a loss is a negative gain, and that the bookie keeps the gambler's $20.
The mean number of chocolate chips per cookie is 6.1. What is the probability that she will find less than 5 chips in a particular cookie?
The Court of Appeals erred in stating that petitioners'regression analyses were "unacceptable as evidence of discrimination", because they did not include all measurable variables thought to have an effect on salary level.
If you estimate a regression using OLS, but you do not include an intercept, do you know if the mean of the residuals is zero? Explain.
To find out the test statistics utilizing chi square method. A professional bowler has been having trouble 'hitting the pocket' in order to get strikes.
Illustrate for what value does probability XYZ will offer a competing product will ABC be indifferent among the alternatives.
Determine the probability, using binomial distribution, of obtaining 4 or more nonconforming units when sampling 30 computers from batch known to be 10% nonconforming.
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