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2.55 Suppose you are going to test a coin to see if it is fair. (a) You decide to flip it 200 times and to conduct a binomial test with the data you collect. Suppose the coin is actually biased so that it comes up heads 55% of the time. What is probability that your test will have a p-value less than 0.05? (b) How does your answer change if you flip the coin 400 times in- stead?
The mean television viewing time for teens is 3 hours per day. Assume the population mean is 3 and the population standard deviation is known to be 1.2 hours.
A quality control inspector selects a part to be tested. The part is then declared acceptable, repairable, or scrapped. Then another part is tested. List the possible outcomes of this experiment regarding two parts.
For given population of high school seniors, the schoolastic aptitude test (SAT) in mathemathics has mean score of 500 with the standard deviation of 100.
Which regression method would you use and why? What would the output tell you about the relationship between the variables and what would R2 and adjusted R2 tell you about the relationship between the variables?
Use both of these facilities regularly. Given that a randomly selected member uses the tennis courts regularly, find the probability that they also use the golf course regularly.
Nut problem: Manager claims 336g and a population standard deviation of 11g. We sample 64 bags and find
In each month, the proportion of "Prize" bonds that win a prize is 1 in 11000. There is a large number of prizes and all bonds are equally likely to win each prize.
At the 5 percent level of significance, can we conclude that the mean weight is greater than 16 ounces? Determine the p- value.
5000 light bulbs each with an average life of 500 hours, standard deviation is 100 hours. Find the percentage of bulbs that can be expected to last between 540 hours and 780 hours.
If the annual advertising expenditures are known to be normally distributed and the standard deviation of the population (σ) is $750, what would be the 95% confidence interval for the true mean advertising expense?
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y?
Solve the following questions involving fundamental operations on polynomials. Find p(x) + 4q(x) given p(x)=4x4 + 10x3 - 2x2 + 13 and q(x) = 2x4+ 5x2 - 3
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