Test comparing two means with variances
In a left-ailed test comparing two means with variances unknown but assumed to be equal, the sample sizes were n1 = 8 and n2 = 12. At Î± = .05, the critical value would be:
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Also conduct a test of hypothesis at the 5% significance level. Does the statistical evidence support the manufacturer's claim? And what is the p value?
The probability mass function of Y appears in the accompanying table. y 45 46 47 48 49 50 51 52 53 54 55 p(y) 0.05 0.10 0.12 0.14 0.25 0.17 0.06 0.05 0.03 0.02 0.01
Given independent random variables with the means and standard deviations below, find the mean and standard deviation of the following random variable: X+2Y
The proportion of all children that drew the nickel too small is: redx.gif Assume that this proportion is true for ALL children (e.g. that this proportion applies to any group of children), and that the remainder of the questions in this section a
List the steps you would follow to determine the reliability of the exam. About 100 students will take this exam. The exam will take 90 minutes, which is the full length of the exam period. There will be no time for additional testing or re-test
Suppose that during a manufacturing process a certain proportion of the products are flawed and have to be rejected by quality control.
A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 2, 4, 6, 8, or 11 days last month. Number of days absent Probability 0 0.30 2 0.27
Consider the game where two dice, die A and die B, are rolled. we say that die A wins, and write A > B, if the outcome of rolling A is larger than that of rolling B. If both rolls result in the same number it is a tie.
The genes for eye color in a certain male fruit y are (R, W). The genes for eye color in the mating female fruit y are (R, W). Their offspring receive one gene for eye color from each parent. If an offspring ends up with either (R, R), (R, W) or (
Write out the null and the alternative hypothesis. What is the appropriate data analysis method for this study? Calculate the test statistic and effect size. Make the decision, and explain why.
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