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An electrical firm manufactures a certain type of light bulb that has a mean life of 1800 hours and a standard deviation of 200 hours. Assume the life of these light bulbs follows a normal distribution.
a. Find the probability that a single light bulb will have a life greater than 2000 hours.
b. Find the probability that a random sample of 100 light bulbs will have an average life between 1760 and 1775 hours.
Determine how large a sample would be necessary to estimate the population proportion with a margin of error of .05 at 95% confidence.
A psychologist is investigating the hypothesis that children who grow up as the only child in the household develop different personality characteristics than those who grow up in larger families.
Are the companies equal from point of view of fat amount? Test at .02 significance level
An exam consists of 10 true or false questions. If a student guesses at every answer, what is the probability that he or she will answer exactly six questions correctly? (Round the answer to three decimal places)
If the student IQ score is 90, what is the probability that another student randomly selected has an IQ score of below 90?
Would it be appropriate to say the coefficient of determination (R-squared) is the proportion of variation in Y due to the variation within each of the categories of X?
The assembly time for a product is uniformly distributed between 6 to 10 minutes.
What is the probability that the income is between $1,000 and $1,800? (Be able to draw a graph to illustrate your results)
Determine the chance between 39% and 41% of registered voters in sample are Democrats.
Experience raising New Jersey Red chickens revealed the mean weight of the chickens at five months is 4.35 pounds. The weights follow the normal distribution.
In determining automobile mileage ratings, it was found that the mpg in the city (x) for a certain model is normally distributed, with a mean of 24 mpg and a standard deviation of 1.0 mpg. Find the following:
Construct a payoff table for Mountain Ski's decision problem of how many pairs of skis to order. What is the best decision from an expected value basis?
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