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1) A random variable X follows the uniform distribution with a lower limit of 670 and an upper limit of 750.
a. Calculate the mean and the standard deviation for the distribution. (Round intermediate calculation for Standard deviation to 4 decimal places and final answer to 2 decimal places.)
Mean=
Standard deviation =
b. What is the probability that X is less than 730? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Probability=
2) According to a company's website, the top 15% of the candidates who take the entrance test will be called for an interview. You have just been called for an interview. The reported mean and standard deviation of the test scores are 71 and 7, respectively. What is the possible range for your test score if you assume that the scores are normally distributed? (Round "z" value and final answer to 2 decimal places.)
Range= and above
3) A packaging system fills boxes to an average weight of 18 ounces with a standard deviation of 0.3 ounce. It is reasonable to assume that the weights are normally distributed. Calculate the 1st, 2nd, and 3rd quartiles of the box weight. (Round "z" value and final answer to 2 decimal places.)
1st quartile = 2nd quartile = 3rd quartile =
Show that E(s2) = σ2 in simple random sampling, where the sample variance s2 is defined with n - 1 in the denominator and the population variance σ2 is defined with N - 1 in the denominator.
Two semiconductor factories are being compared to see if there is a difference in the average defect rates of the chips they produce. In the first factory, 250 chips are sampled. In the second factory, 350 chips are sampled. The proportions of def..
Identify the experimental unit for the study.- Identify the variable measured for each experimental unit.- Is the data collected quantitative or qualitative?
describe a fictional two-group experiment that could be tested with an independent t-test but violates the assumption
A man is on trial accused of murder in the first degree. The prosecutor presents evidence that he hopes will convince the jury to reject the hypothesis that the man is innocent. This situation can be modeled as a significance test with the followi..
Trees. A forester measured 27 of the trees in a large woods that is up for sale. He found a mean diameter of 10.4 inches and a standard deviation of 4.7 inches.
In the Gregorian calendar, each year has either 365 days (a normal year) or 366 days (a leap year).
according to a website about salaries the national average salary as of october 2003 for a human resources clerk was
Develop a frequency table for a discrete variable. Show both the relative frequencies and cumulative relative frequencies. What would the probability distribution be for this discrete variable.
A clever, rich, and wealthy local politician promises to give you $1,000 on the first day of four months before elections. From here on he will give you 9/10 of the amount he gave you the day before.
The quality-control department took a random sample of 50 cans and found that the arithmetic mean weight was 16.05 ounces? Determine the p-value.
Pollution. A company with a fleet of 150 cars found that the emissions systems of 7 out of the 22 they tested failed to meet pollution control guidelines.
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