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A prestigious university requires a score of at least 750 on a graduate exam for admission to its MBA program. Suppose the graduate exam is normally distributed with a mean of 500 and a standard deviation of 200. If a test taker is randomly selected, what is the probability he or she scores 750 or better?
Out of 1000 people surveyed, 600 belonged to urban areas and rest to rural areas. Among 500 who visited other states , 400 belonged to urban areas. Test 5 % level of significance whether area and visiting other state are dependent.
If a blue ball is selected you win nothing. Let X be the amount that you win. The expected value of X and let the random variable X be a random number with the uniform density curve given below
Two mating parts have critical dimensions x1 and x2 as shown below. Assume that x1 and x2 are normally distributed with means 1 and mean2 and standard deviations s1 = 0.400 and s2 = 0.300.
From the following information for Alfred Industries compute the overhead spending variance and the volume variance:
The mean is a useful measure, but it can be misleading. Describe a circumstance when the mean is very useful as the average and a circumstance when the mean is very misleading as the average.
Find the 90%, 95% and 99% confidence intervals for the proportion of all voters who favor the issue. How many more voters should we include in the sample if we need to reduce the margin of error by half?
When using the distribution of sample means to estimate the population mean, what is the benefit of using larger sample sizes?
Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetrability" of the same type of soil at 2 levels of compression.
The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 21.1 and the standard deviation was 5.0.
Given same values n=20, p=0.6, and x=17, calculate probability of x successes in n independent trails of experiment.
If a 99% confidence interval is calculated to estimate the difference between the average hourly rates for each type of graduate, what is the margin of error? Assume both population standard deviations are equal.
Assume that the amount your town's population grows every year is fixed or constant. Utilize your equation in part b to approximate the population in the year 2030.
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