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You are planning to test a vaccine for a virus that has no vaccine. Since the disease is usually not serious, you will expose 100 volunteers to the virus. After some time, you will record whether or not each volunteer has been infected.
A) Explain how you would use these 100 volunteers in a designed experiment to test the vaccine. Include all important details of designing the experiment (but don't actually do any random allocation).
B) You hope to show that the vaccine is more effective than a placebo. State H0 and Ha. (Notice that this test compares two population proportions.)
C) The experiment gave a P-value of 0.15. Explain carefully what this means.
D) Your fellow researchers do not consider this evidence strong enough to recommend regular use of the vaccine. Do you agree?
Assume that two samples are independent simple random samples selected from normally distributed populations. Use a 0.05 significance level to test the claim that male and female biology students speak the same mean number of words in a day.
Triathalon Times Jeff Parent is a statistics instructor who participates in triathalons. Listed below are times (in minutes and seconds) he recorded as riding a bicycle for five laps through each mile of a 3-mile loop.
Find the Probability and inverse probability for the given Normal distribution.
The number of customers at a specialty meat store averages about 1500/day. The exact number varies from day to day. On Fridays before long weekends, the number of customers increases to about 3000. Which of the following statements is correct
Find the probability that he will answer all 10 questions correctly.
Test of claim for the statement made for a given paired sample:
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
Pattern that most accurately represents mean, median and mode is?
Interpret the correlation between each set of variables.
What is the best predicted IQ of the wife, given that the husband has an IQ of 105 ? Use a significance level of 0.05.
Jim and Mike go to a coffee shop during their lunch break and toss a coin to see who will pay. The probability that Mike will pay three days in a row is 0.125.
It is not unusual for a battery to have life span that is more than 2470 hours as the z-score is within 2 standard deviations of mean.
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