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The average income tax refund for 2009 tax year was $3095. Assumes the refund per person follows the normal probability distribution with a standard deviation of $922. Round all answers 4 decimal pl
Scores on a national exam assume a normal distribution with a population mean of 50 and population standard deviation of 10 points. A sample of 36 exam scores was selected from UCA with a mean score
A standardized third grade reading test, called the We Can Read Test, has a mean of 50 with a standard deviation of 10. A developmental psychologist conducts a study, where he assesses the reading a
The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If we stipulate that a baby is premature if the length of pregnancy is in the l
Based on the U.S. Bureau of Justice data, 16% of persons arrested are women. If 400 arrest cases are randomly selected, estimate the probability to 4 decimal places that more than 70 women were arre
The life time T of a durable substance is an exponential distributed ramdom varialble with average 1.5 year (Exponential).
Find the probability of answering the first 2 questions correctly. b. find the probabiblity of answering all 5 questions correctly. c. find the probabiblity of answering at least one question correc
General Hospital has noted that they admit an average of 8 patients per hour. Define the random variable in words for this experiment. What is the probability that during the next hour fewer than 3 pa
A 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is
Hartsfield Atlanta International Airport is the busiest airport in the U.S. averaging 2200 planes a day with a standard deviation of 75. A pilot believes that the average exceeds that and tests it u
Suppose a random smaple of size 36 is drawn from a population with a mean of 278,. If 86% of the time the sample mean is less than 280, what is the population standard deviation?
Compare and contrast a two-way ANOVA and a multivariate regression model with only two IVs?
Suppose you have variables X and Y, and you attempted to regress Y on X (i.e., predict Y from X). If you add 10 to the value of every Y data point, what will happen to the equation of the best fitti
The correlation (r) between these two variables is 0.67. The variances of x and y, respectively, are 14.57 and 8.16. The means of x and y are 20.00 and 9.31. What is the intercept of the regression
If data containing two variables X and Y (with X as the only predictor variable for Y) were standardized, the slope of a best-fit regression line would equal:
B. Case II - Use t statistic, assuming variances are unknown but equal C. Case III -Use t statistic, assuming variances unknown and unequal D. Case IV - Use paired t test
An experimenter wants to conduct a hypothesis test on a claim that there was no difference between two population means. That is, H0: ?1 - ?2 = 0. Which of the following 95% confidence intervals on
The second sample of 40 items were chosen and measured. This second sample had an average response of 132 with a sample variance of 16. What is the pooled standard deviation for this problem? (round
Estimation of the parameters for the Normal and LogNormal distributions.
Does this sample provide enough evidence to counter the claim made by Zingo's management? Determine the p-value for this test. Identify and interpret the critical sample mean or means for this problem
Does this sample provide enough evidence to refute the age claim made by Bob's Sporting Goods? Determine the p-value for this test.
Identify and interpret the critical sample mean or means for this problem. Verify your results using PHStat2.
Design an experiment that will require a two sample t procedure to analyze the results. Design an experiment that will require a matched-pairs t procedure to analyze the results. Which experiment woul
What is the UCL [a], and the LCL [b]? What is the probability that a shift in the fraction non-conforming to 0.14 is detected in the first sample [c]? What is the minimum sample size for the LCL to