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Samples of ores from the face of a drift on twenty consecutive days and assayed for tungsten (W). The twenty assays average 1.50% W, with a variance of 0.1% W2. Calculate a 90% confidence interval for the tungsten content of the mined mineral. Further mining of the drift would be justified if the grade is above 1.25% W; can we be 95% confident that this is the case?
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.
Explain the difference between one-factor and two-factor ANOVA. (b) Write the linear model form of one-factor ANOVA. (c) State the hypotheses for a one-factor ANOVA in two different ways.
What sample size would be necessary to estimate the true weight with an error of +/- 0.03 grams with 90 percent confidence?
a. Solve using the p value approch. b. Solve using the classical approch.
At 0.01 significance level can we conclude that mean fare has increased? Determine the p-value?
List all samples of size 2, and compute the mean of each sample. Compute the mean of the distribution of sample means and the population mean. Compare the two values. Compare the dispersion in the population with that of the sample means.
How large sample should be selected in order to obtain p estimate with a bound of 0.08 on the error of estimation.
Cards are drawn one by one from a standard deck of 52 cards. Let X be the number of draws up to and including when the first diamond is drawn. If the cards are replaced in the deck, determine E(X). If the cards are not replaced in the deck, determ..
Suppose that you wish to test the effect of lowering the soil ph on the number of lady ferns in an area. The researchers hypothesize that lowering the ph-level of the soil will lead to more ferns.
Choose a variable (such as number of daily admissions at a local theater or number of miles students have to commute daily to get to their college.) Before collecting the data, decide what a likely average might be, then complete the following:
Find a 99% confidence interval for the difference in the mean number of calls between night and day.
Similar survey of student population 10 years ago found that coffee shop was favoured by 20% of students, and pizza and hamburger were each preferred by 40% of the students. Determine the expected frequencies for chi-square test.
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