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The random variable X has PDF f(x) = 2xe-x^2 , where x > 0.
a) Draw a random sample of size 1000 from this distribution.
b) Draw a histogram of the 1000 sampled values and obtain the sample mean and SD.
c) Using the sample obtained, draw a histogram and calculate mean and variance for 1000 sampled values for random variable Y = X2.
Should Martha use an independent-samples t-test or a related samples t-test? Explain your answer.
At the 5 percent level of significance, can we conclude that the mean weight is greater than 16 ounces? Determine the p- value.
A test indicates the presence of a particular disease 90% of the time when the disease is present and the presence of the disease 2% of the time when the disease is not present.
What is the probability that the mean life-span of a sample of 64 randomly selected bulbs will exceed 727 hours?
Suppose that 30% of the population has black hair. In a randomly-selected group of six people, how probable is it that
Consider an acceptance-sampling scheme in which factory takes delivery of a batch of components if random sample of 400 components contains fewer than M defectives.
Based on your analysis, how is the new bottling process working?
Find the average cost of a loaf of bread in your area and compute the cost per day for one year. (Remember that average is the mean, median, mode, and midrange, but choose the best for the data.) 1. What measures of central tendency did you use?
Construct the 95 percent confidence interval for the difference between the two population means.
At alpha = 0.05, is there enough evidence to conclude that proportions vary from those in the study?
Find Probability of independent events.Consider again the auto repair rates described. If you own two cars, what is the probability that.
Does this data indicate that the sentiment for increasing the speed limit is different for the two groups of residents? Let p1 refer to the urban population.
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