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An urn contains 8 balls identical in every respect except color. There are 4 blue balls, 3 red balls, and 1 white ball.
a) If you draw one ball from the urn what is the probability that it is blue or white?
b) If you draw two balls without replacing the first one, what is the probability that the first ball is red and the second ball is white?
c) If you draw two balls without replacing the first one, what is the probability that one ball is red and the other is white?
At the 0.05 level of significance, is there evidence of a difference in the mean waiting times in the four locations? State your null and alternative hypotheses. (Note: while the small sample size could justify use of the non- parametric Kruskal-W..
A sports researcher gave a standard written test of eating habits to 12 randomly selected professionals, four each from baseball, football, and basketball. The results were as follows:
The means appear to be very close, but not the variances. At α = .05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule.
Set up null hypothesis for associated F test.
Assume a linear relationship, use the least square method to find the regression coefficients bo and b1 and Predict the mean kilowatt usage when the average temperature is 50 degrees Fahrenheit.
A random sample of 1001 University of California faculty members taken in December 1995 was asked, "Do you favor or oppose using race, religion, sex, color, ethnicity or national origin as a criterion for admission to the University of California?
The cost of one serving of peanut butter ( in cents) for a random sample of 19 jars of peanut butter was found to be:
The following estimated regression model was developed relating yearly income (Y in $1,000s) of 30 individuals with their age (X 1 ) and their gender (X 2 ) (0 if male and 1 if female).
Suppose adults have basically distributed IQ scores with a mean of 100 and an SD of 15. Find P65, the 65th percentile. Use the Z table.
To find the probabilities values of standard normal variable
Comparing the results from (a) and (e), what happens to the required sample size when we increase the confidence level?
You have a standard deck of cards and you take out 2 cards at random. Let Y1 represent the number of red Queens in your sample and let Y2 represent the number of spades in your sample.
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