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Construct a 95%confidence interval for the proportion of the city's households that own pets. Round the sample proportion and margin of error to three decimal places.
In an August 2012 Gallup survery of ,1012 randomly selected U.S. adults, 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.
Suppose the cumulative distribution function of the random variable X is F(x) = 0 when x<-2 , F(x) = .25x + .5 when -2 <= x < 2 and F(x) = 1 when 2<=x (<= means greater than or equal)
A researcher is investigating the effectiveness of a new medication for lowering blood pressure for individuals with systolic pressure greater than 140. For this population, systolic scores average
If the average test score for the sample is M = 104, is this result sufficient to conclude that inserting the easy questions improves student performance? Use a one-tailed test with a = .01.
You are an engineer for Bulbs ‘R Us, and you've developed a lightbulb that you claim consumes less than 5 watts per hour (wph). You want to conduct a test to prove that you're right. What is t
You need to test the alternative hypothesis that an average is greater than 70. If the population average is 70 and this graph shows the sampling distribution of sample averages, is a sample average
State the appropiate null and alternative hypothesis. Verify that the requirements to perform the test using the t-distribution are satisfied.
Construct a 95% confidence interval estimate of the mean number of absences for clerical workers during the year. Construct a 95% confidence interval estimate of the population proportion of clerical
List the conditions under which a Gaussian distribution can be used to approximate a Poisson probability distribution.
Construct a 95% confidence interval estimate for the population proportion of adults who report that e-mails are easy to misinterpret.
X and Y are independent random variables with common moment generating function: Let W= X + Y and Z = Y - X. Determine the joint moment generating function M(t1,t2) of W and Z.
Comparing your answers for parts a and b, explain how the size of the sample influences the outcome of a hypothesis test.
A sample of size n=9 is drawn from N(64,12) distribution. That is x1,x2,x3,x4,x5,x6,x7,x8,x9 are 9 observed numbers from a N(64,8) distribution. Let
According to USA Today "snapshot" 3% of Americans surveyed lie frequently. You conduct a survey of 500 college students and find that 20 of them lie frequently. Can we use normal approximation on th
Control chart for x bar is maintained on a quality characteristic which is normally distributed. The sample size is n=4. Consider one-sigma warning limits for this chart.
Life expectancies for men and women were measured by country. It was found that the average male life expectancy was 71.8 years with an SD of 7 years, and that the average female life expectancy was
Calculate the estimate for the standard error of difference between two independent means for s12 = 13, s22 = 20, n1 = 20, andn2 = 16. (Give your answer correct to t
Find the 95% confidence interval for the difference between two means based on this information about two samples. Assume independent samples from normal populations. (Use conservative degrees of fr
Calculate the probability of observing a sample proportion of .17 or less. (b) Based on the probability you computed in part a, would you conclude that fewer than 20 percent of parents who own TV se
The 95 percent confidence interval for the population mean is to (Round your answers to 3 decimal places.) (e-1) Would it be reasonable to conclude that the population mean is 23 eggs? (e-2) What ab
Distracted driving (such as texting while driving) can increase the chance of a motor vehicle crash. A new report states that 31% of drivers read or send texts while driving. A road safety organizat
Suppose no prior information about the sample proportion of students who prefer the Compass Card were available. Translink wants to estimate the proportion of students who prefer the Compass Card.
Identify the mean and the standard deviation of the proportion of the customers who manage to pick the blue ball among the 400 customers.
What is the marginal expected utility of this game to you? (In other words, how much more utility than your initial state will you get, on average, by accepting to play this game?)