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1. A group of employees at a large factory was asked to indicate their preference for one of two pension schemes. The table below gives the responses of three different categories of employees at the factory. Investigate at 1% level of significance whether or not there is a preference amongst the three categories. (show all work)
JOB CATEGORY PLAN A PLAN BSUPERVISOR 10 15CLERICAL 20 80LABOUR 80 60
2. An airline advertises its flights between two major cities takes at most five hours. A random sample of 36 such flights gave a mean time of five hours ten minutes with a standard deviation of thirty minutes. Investigate the validity of the airlines advertisement claim at the 5% level of significance.
In a series of tests, the piece was let operate till failure, repaired immediately, and let operate till next failure and so on for 3 months. The total number failures observed were 3.
Consumer Reports magazine tested paints. The table below shows the overall quality score and cost in dolllars per gallon. Test for a correlation. Based on these results, do you get better quality paint by paying more?
A test consists of multiple-choice questions, each having four possible answers (a,b,c,d) one of which is correct. Assuming that you guess the answers to six such questions.
If the probability that it will rain tomorrow is 0.33, then what is the probability that it will not rain tomorrow?
A sociologist wants to describe if the life expectancy of people in Africa is lesser than the life expectancy of people in Asia.
At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 520 ml. The filling process follows a normal distribution with a known process standard deviation of 4 ml.
They also know that the distribution of loss from fire has a skewed distribution; many have $0.00 losses and a few have large losses.
A CEO of a large pharmaceutical company would like to determine if he should be placing more money allotted in the budget next year for television advertising of a new drug marketed for controlling asthma.
Use a calculator or appropriate computer software to verify that, for the preceding data, xbar = 5.1.
Let X be the number of correct guesses by your friend in the 100 trials and Use the Normal approximation with the continuity correction - Which of the following might be reasonably modeled by the binomial distribution
Testing equality of variances - evidence of a difference in the variability of monthly talking time on cell phones for men and women?
Can we conclude from this that most workers there earn between $25 and $35 per hour? Is this the right interpretation for the margin of error?
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