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1. ESPN reported in sample of 1000 homes the proportion of people who watched the Texas v. Ohio State college football game this weekend was .6. ESPN also reported that in another sample of 1000 homes the proportion of people who watched the Arizona State v. Louisiana State game was .4. Conduct a hypothesis test to determine if the proportion of people who watched the Texas v. Ohio State game was greater than the proportion of people who watched the Arizona State v. Louisiana State game ( ). Assume α = .03 and remember to clearly state both the null and alternate hypothesis and your conclusion about the proportion of people watching the two games.
2. Historically, Yosemite Toads lay about 25,000 eggs out of which 15,000 typically hatch (60%). Yosemite National Park Rangers have been monitoring the amount of eggs hatching from Yosemite Toad egg bundles. Recently, Yosemite Rangers took a sample of 100 egg bundles and found that 45% of the eggs hatched. The Rangers would like to know if the true proportion of Yosemite Toad eggs that hatch is really 60% or some other proportion ( ). Conduct a two-tailed hypothesis test to determine if the true proportion of eggs hatching is 60% or not. Assume α = .01 and remember to clearly state both the null and alternate hypothesis as well as your conclusion about the proportion of Yosemite Toad eggs that hatch.
Assuming the validity of this premise, among 25 randomly selected current customers, what is the probability that between 2 and 6 (inclusive) qualify for membership?
Your quality control department has just analyzed the contents of 20 randomly selected barrels of materials to be used in manufacturing plastic garden equipment.
If a complete failure occurs, calculate the probability that the fault occurred in:
If the packets are sold in multi-packs containing six packets, what is the distribution of the number of prizes in a randomly chosen multi-pack?
Use this information to construct a probability table, and then calculate each of the following probabilities: P(foreign car)
a. What is the probability that one randomly selected student scores above 1100 on the GRE? b. Describe the sampling distribution of the sample mean for the 16 students.
Prepare a mixed integer programming model for this problem.
What sample size would be needed to obtain an error of +/- 10 square millimeters with 99% confidence?
You are interested in investing, and are considering a portfolio comprised of the following two stocks. Their estimated returns under varying market conditions are provided:
The probability that student pilot passes the written test for a private pilot's license is 0.7. Find the probability that the student will pass the test: (a) on the third attempt (b) before the fourth attempt.
Which of the following would be most helpful in assessing the practical significance of a test of hypotheses about a proportion?
An automobile assembly line operation has a scheduled mean completion time,u , of 12.6 minutes. The standard deviation of completion times is 1.8 minutes.
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