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In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At α = .01, did the yellow fire trucks have a significantly lower accident rate? (a) State the hypotheses. (b) State the decision rule and sketch it. (c) Find the sample proportions and z test statistic. (d) Make a decision. (e) Find the p-value and interpret it. (f) If statistically significant, do you think the difference is large enough to be important? If so, to whom, and why? (g) Is the normality assumption fulfilled? Explain.
The lives of many people are affected by a fear that prevents them from flying. The Marist Institute for Public Opinion conducted a poll of 1014 adults
In order to determine the sum of squares the distance between each data point and the line of the best fit is squared and then all of the squares are summed up. The line of the best fit will minimize this value?
An automobile manufacturer claims the variance in the fuel consumption for its vehicles is less than the variance of similar type vehicles from another competitor.
Compute the unit manufacturing cost of the product under the contribution approach. Compute the effect on net income of accepting a special order for 500 units at $10 per unit assuming excess capacity.
Is there a meaningful relationship between grades and SAT scores? If a student scores a 450 on the SAT what will her GPA be?
The McNemar test is a test on a 2x2 classification table when you want to test the difference between paired proportions. Chi-square test for 2X2 tables compares the tallies or counts of categorical responses between two (or more) independent grou..
How do you verify that the assumption of a normal distribution is correct if you've only the mean and standard deviation?
To explain this, be sure to explain whether the null hypothesis should be rejected, the likelihood of that decision being an error, and why it might have been an error.
The life expectancy of a lung cancer patient treated with a new drug is normally distributed with a mean of 4 years and a standard deviation of 10 months.
The standard deviation is estimated to be 0.279. Use the 99% level of confidence.
If the company wanted to combine the sales data from both companies, how should the new corporate database set up this relationship (take your best guess, one-to-one, or one-to-many)? Why?
Show that someone will think that the claim has more than a fifty percent chance of being true if p > q / (1 + q). Explain.
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