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Q1) Manufacturer of mechanical widgets claims that his widgets have the average useful life of= 8,000 hours of continuous use before failure. Independent testing organization caries out a life test on a random sample of 225 of manufacturer's widgets. Sample results differ between 6000 and 9200 hours though sample mean useful life of that sample is 6235 hours with the standard deviation of 600 hours. By using a 1% significance level, test manufacturer claim against alternative that true mean useful life is less than 8000 hours.
Q2) Sociolinguist claims that at least 45% of all college graduates are functionally illiterate (according to well known accepted standards). Random sample of 500 college graduates is chosen and subjected to standard literacy test. Results point out that 212 are, actually, functionally illiterate. Does this result support original claim, or is population percentage considerably less than 45%. Use alpha=.05 for level of significance.
The accompanying two histograms represent the distribution of acceptance rates (percent accepted) among 25 business schools in 1995. The histograms use different class intervals, but are based on the same data. In each class interval, the left endpoi..
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?
Perform a posthoc test that is suitable if we assume that group 7 is a control group and that the other are different treatment groups and that we are only interested in finding significant treatments, not to compare them.
For a new HDTV the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months.
Find the probability that a randomly selected employee earns less than $5.43.
Compute the variance and standard deviation
If the standard deviation of the amount of coffee dispensed is 0.4oz and the amount of coffee dispensed is normally distributed.
The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Evaluate the difference in the mean ratings and find the standard deviation of the difference in the ratings, what is the chance both children are boys?
how many chocolate chip cookies will he need to sample to estimate the mean to within 2, what is a 99% confidence interval for the average number of chips per cookie?
where the deviations εi are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
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