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In a study conducted by a local university, it was found that 25% of college freshmen support increased military spending. If 6 college freshmen are randomly selected, find the probability that:
Fewer than 4 support increased military spending
.0330
.7844
.9624
.9954
Find the probability that he will answer all 10 questions correctly.
For a candidate to win in a congressional district, he has to have won over half of the vote. The Republican candidate takes a poll to assess his chances in a two-candidate race.
A manufacturer claims that the mean lifetime, mu, of its light bulbs is 44 months. The standard deviation of these lifetimes is 7 months. Seventy bulbs are selected at random, and their mean lifetime is found to be 43 months.
We wish to construct a 90% confidence interval on the mean of a population known to be normally distributed based on a sample of 20 observations having a sample mean of 8 and a sample standard deviation of 2. What is the standard error?
Describe the distribution of sample means (shape, expected value, and standard error) for samples of n=36 selected from a population with a mean of µ=100 and a standard deviation of σ=12.
A state meat inspector in Iowa has been given the assignment of estimating the mean net weight of packages of ground chuck labeled "3 pounds." Of course, he realizes that the weights cannot be precisely 3 pounds.
At the .01 significance level, can we conclude that there is more variation?
Let X be the number of yes votes obtained from a random sample of 200 out of the entire voting population. What is the expected value of X if, in fact, 65% of all voters supported the dictator?
A study was designed to compare variability of male and female diastolic blood pressure. The null hypothesis was that the population standard deviation were equal versus the alternative that they were not equal.
A major department store chain is planning to open a store in a new city. Five cities are being considered: Boston, Atlanta, Dallas, Cleveland, and Los Angeles.
You are asked to test the CFO's claim by examining monthly profits from the sample mega stores using the Z-test. State the decision rule using α = 0.05 significance level?
Professor Cox needs a volunteer amongst 30 students in his statistical applications course. The average age of his students is 25 years, with the standard deviation of 3 years.
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