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Suppose the U.S. president wants an estimate of the proportion of the population who support his current policy toward revisions in the Social Security system.
A person has a health saver plan with the likelihood of spending per year: $1000 (.10), $2000 (.20) $3000(0.30) and $4000(0.4). With the health saver plan the amount of money you put into your healt
A local board of education conducted a survey of residents in the community concerning a property tax levy on the coming local ballot. They randomly selected 850 residents in the community and conta
Based on the sample results, can you conclude that there was a higher proportion of U.S. companies offering high-deductible health insurance plans to their workers in 2006 than in 2005 at a 5% level
These parents decide to record what they see. The hypothetical data appear below. Conduct a Chi Square test to determine if the parents' suspicion that there is a relationship between jersey number
A time study is made of a tool crib and it is found that the probability of it taking more than T minutes to fill an order is given by the expression e-0.2T. Customers are found to arrive at the too
Messages arrive at a switching center in accordance with a Poisson Process having mean arrival rate of 180 messages/hour. They are then sent over a transmission line at the rate of 12 characters per
Assume that you plan to use a significance level of ? = 0.05 to test the claim that p1 = p2, Use the given sample sizes and numbers of successes to find the P-value for the hypothesis test.
What happens to the degrees of freedom in a Chi-Square as the sample size gets larger? Explain your answer. Use details.
Explosive devices used in mining operations produce nearly circular craters when detonated. The radii of these craters is exponentially distributed with a mean of ten feet.
Calculate the degrees of freedom? Assuming an alpha of .05, what is the critical value? Do you reject the null hypothesis? Explain your answer.
Find the equation of the line of best fit. y hat = + x. Find the ordinates y hat for the points on the line of best fit whose abscissas are x = 1, 3, 5, 7, and 9.
The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were measured for 10 students in a beginning computer-science course. The results were as fo
Suppose instead the data from problem 1 and 4 were taken on the same process, thus the data are no longer independent. You may use only the rst 6 observations in the second collection of data, the t
What are the two components of the total sum of squares in a one factor between-subjects design?
If you instead wished to test whether the average Valentine's Day expenditure for males was more than $20 higher than that for females, how would that change your analysis?
A random sample of 200 observations shows that there are 36 sucessess. Can we conclude at the 1% level of significance that the true proportion of successes in the population is less than 24%?
By studying the grade distributions in calculus over several years, it was determined that the probability of a student obtaining an A is 0.213 (that is 21.3% are expected to get A's), a B is 0.242,
Let A, B, and C be independent random variables, uniformly distributed over [0,7 ], [0,8], and [0,3] respectively. What is the probability that both roots of the equation Ax^2 + Bx + C = 0 are real?
A bridge hand consisting of 13 cards is selected at random from an ordinary deck of cards. Let H, D, C, and S be the number of hearts, diamonds, clubs, and spades in the hand. Calculate the values o
Create the confidence interval for sigma^2 using the data from problem 1 with = 0:05. The endpoints of the confidence interval are:
There are also potential problems associated with interpreting the results of a paired t-test. Imagine you are interested in determining whether an employee of a company performs better with or with
What is the appropriate degrees of freedom in this case? Give your answer to four decimal places. What is the lower confidence limit on the interval? Give your answer to two decimal places.
Two points are randomly on a line of length 14 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is unifo