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Write out explicitly, using Bernoullis techniques, the formulas for the sums of the first n fourth, fifth, and tenth powers. Then show that the sum of the tenth powers of the first 1000 positive int
The length of a rectangle is increasing at the rate of 5 meters per minute while the width is decreasing at the rate of 3 meters per minute. At a certain instant, the length is 20 meters and the wid
If your ANOVA hypothesis test shows no interaction between two factors:
Perform the cross-classification of the two nominal variables into a contingency table. Test the hypothesis that there is no relationship between the two variables.
Use the Distribution Function method to find the c.d.f. and p.d.f. for Y_bar = (Y1+Y2)/2, the Average of the two lifetimes. Find the mean and variance of this average, using the answer in part (a).
You are playing a game which you flip 3 fair coins. It costs $2 to play the game, which must be subtracted from your winnings. Calculate the expected value for the game.
An election ballot asks voters to select 6 city commissioners from a group of 18 canidates. In how many ways can this be done?
Assume the distribution of the fat content is aproximately normal, what is the sampling distribution of the sample mean?
A company provides component parts for an engine. Parts specifications suggest that 95% of items meet specifications. The parts are shipped to customers in lots of 100. Let X be the number of defect
The owner of a local golf course wants to estimate the difference between the average ages of males and females that play on the golf course. He randomly samples 26 men and 22 women that play on his
The following partial minitab printout of a regression analysis where x is the length in centimeters and y is the weight in kg of American Black Bears. (Source: fieldtripearth.org)
According to a report by Scarborough Research, the average monthly household cellular phone bill is $73. Suppose local monthly household cell phone bills are normally distributed with a standard dev
The following data were collected for a test of linear correlation and Spearman's rank correlation was used:
Discuss how to perform a test of hypothesis to determine whether the variances of two populations are equal. Include a discussion of why the larger sample variance is placed in the numerator in the
The mean difference in total cholesterol levels (after - before) was 1.544 mg/dL with a standard deviation of 7.6237 mg/dL. Create a 99% confidence interval for the true average difference in choles
Does this data suggest that the population mean reading under these conditions differs from 100? State and test the appropriate hypotheses using =.05.
Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of life governed by the exponential distribution with mean 2 (with measur
In 2006, Merck released a vaccine named Gardasil for HPV - the most common cause of cervical cancer among young women. The company conducted four placebo controlled double blind clinical studies of
A random sample of 10 items is drawn from a population whose standard deviation is unknown. The sample mean is 270 and the sample standart deviation is s=20.
A random sample of 25 lunch orders at Noodles and Company showed a mean bill of 10.36 with a asample standard deviation of 5.31$. FInd the 95% confidence interval for the mean bill of the lunch orde
The present method requires 44.6 minutes on average to assemble a golf cart. The mean assembly time for a random sample of 24 carts was 40.6 minutes, and the standard deviation of the sample was 2.7
Use these data to construct a 95% confidence interval estimate of the true mean UTS for a sample roll. What assumption you have assumed? Calculate and interpret a 95% prediction interval for a new s
a) May nromality of the sample proportion p be assumed? b) Conduct a hypothesis test at 1 percent level of significance. Clearly state the hypotheses, decision rule and conclude accordingly. SHow all
What is differential analysis? What part does it play in making specific business decisions? Explain.
Estimate the true avarage percentage of shrinkage for specimens of this type in 98% confidence interval. How large a sample size is necessary if the length of 98% interval is to be 0.4?