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Question 1
A survey of fruit preference of northern and southern Australians was carried out.
Researchers were interested to know whether Australians living in northern areas were more interested in tropical fruit because it was plentiful, as opposed to citrus and other fruit. A survey of 500 persons was carried out and the results are given below. Perform a χ2 test to see whether fruit preference and location in Australia are independent. Use a significance level of α= 0.05.
a. State the hypotheses that you are testing
b. Determine the critical value of χ2 and your decision rule
c. Calculate the χ2 test statistic for this data. (Show all workings)
d. State your decision and conclusion.
Calculate the mean and standard deviation talking time for the old battery. (Use the statistics functions on your calculator to find these values). The following table shows the talking time descriptive statistics, for the newly developed battery.
Suppose two such fuses are in series and operate independently in a system. Find the pdf of the lifetime Y of the system. (The system will work only if both the fuses operate.)
An investigator wants to test if there is a difference in endotoxin levels in children who are exposed to endotoxin as a function of their proximity to operating farms.
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What are the expected return and standard deviation for a portfolio with an investment of $6,000 in asset X and $4,000 in asset Z?
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Internet sites often vanish or move, so that references to them can't be followed. In fact, 13% of Internet sites referenced in papers in major scienti?c journals are lost within two years after publication.
A researcher discovers the number of parking tickets that a group of students have received during their driving careers. Twenty students reply and they have received between 9 and 20 parking tickets.
A survey of Ohio University students was conducted to determine if there was a particular Green that was desired by students to live on. A sample of students responses are reproduced below. Do students prefer a particular Green? Use critical value..
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