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Men's heights are normally distributed with mean 180 cm and standard deviation 4 cm, while women's heights are normally distributed with mean 175 cm and standard deviation 3 cm. In a sample of 100 married couples, the average difference between husband's height and wife's height is 3.4 cm. By performing an appropriate test, comment on if the choice of partner in marriage is influenced by considerations of height, at 1% level of significance. Show full working details for your test.
The market risk of a stock can be defined as the tendency for a stock to be correlated with, and move along with the general stock market.
What's the probability it has a cosmetic defect but no functional defect? If you notice a dent on a new car, what's the probability it has a functional defect?
Create the 99% confidence interval on difference of average ages for viewers of the two TV programs. How can you interpret interval?
In a clinical study of an allergy drug, 114 of 203 subjects reported experiencing significant relief from their symptoms. What is the point estimate of the true proportion of people who reported relief in the population.
In Exercises 2- 4, the random variable x is normally distributed with mean µ=18 and standard deviation s=7.6.
Examine the past week's news; describe at least five instances of actual data presented. These can include surveys, experiments, business data, and even sports information.
an unfair coin comes up heads 38 of the time. if the coin is flipped 12 times what is the probability that it comes up
Suppose the lifetime of a typical battery has an exponential distribution with mean 205 minutes. Suppose you operate the device continuously for three days.
A box contains 3 red balls and 4 green balls. If two balls are randomly selected without replacement, what is the possibility that a red ball and a green ball a
Consider the (4 X 4) covariance (correlation) matrix of Example 3.2. Verify the results of Theorem 3.8. Also verify that latent vectors of P are orthogonal unit vectors.
The second component has 6 components that each work with probability 0.85. If at least 5 of the elements are working then the second component will function.
1. Discuss the mean and the median of AL and NL opening day salaries and comment on skewness. 2. Compare the range and the standard deviation of AL and NL opening day salaries.
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