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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
Consider the following bivariate data. Consider the following bivariate data.
Recall the gas station example, where Y is the daily revenues from the gas station. Suppose a random sample of 5 days had the following daily revenues, $8500, $10000, $8000, $9750, $8700. You want t
You want to compare the reliability of two machines that insert chips onto electronic cards. The main problem is the occurrence of jams in the feeding mechanism, as this requires stopping production
Suppose we observe the number of wafers that are defective with samples of wafers of size 5. We observe the following data
You want to be 90% confident that your estimate of the proportion of defective products is within.05 of the actual proportion of defective products. How many products should be in your sample?
After 2 years, there was no difference in the risk of heart attack, stroke, or dying from heart disease between those who took the prescription drug and low-dose aspirin daily and those who took low
The following is an appropriate statement of the null and alternate hypotheses for a test of a population mean:
Good Friends and astrological sign A recent general social survey asked subjects how many good friends they have. Is number of friends associated with the respondents astrological sign ( the 12 symb
Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is lower than the national mean. What are the value of the test statistics and the critica
What are the test statistics and the p-value for a sample of 180 undergraduate students with a sample mean credit card balance of $3325?
What is the lower endpoint of a 99% confidence interval for the difference between the proportion of females that favor the war and the proportion of males that favor the war? Give your answer to fo