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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.
Sample data was collected in a study of calcium supplements and their effects on blood pressure. A placebo group and a calcium group began the study with blood pressure measurement.
Describe the relevant population and the source (e.g. newspaper, TV, radio, internet, etc.). Explain why you do not believe it is accurate.
A population consists of the following four values: 8, 10, 12, and 16. From this population, there are 6 different samples of size 2. The means of the 6 samples of size 2 are: 9, 10, 12, 11, 13, and 14. Compute the mean of the distribution of the ..
Auto pistons at Yongpin Zhou's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. Construct the 3-sigma x-chart and the 3-sigma R-shart for this dimension, using the data observed in ..
State the hypotheses for a chi-squared test in the context of this problem. Calculate the expected matrix and describe what it represents. Calculate the test statistic. Describe what this represents and answer the question posed.
Find the probability that in a given month:
As reported by Runner's World magazine, the times of the finishers in the New York City 10-km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let x be the finishing time for a finisher in the New York ..
The probability distribution of a random variable X is shown below, where X represents the amount of money (in $1,000s) gained or lost in a particular game of Blackjack.
The alternative hypothesis is true. In this case the consumer advocacy group will have, A consumer advocacy group doubts this claim and tests the hypotheses
A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 14 of the plates have blistered.
Use expected collision claim amount to find out the collision insurance premium that would permit the company to break even on collision portion of policy.
With 95% confidence, what is the margin of error (to 2 decimals)? What is the 95% confidence interval estimate of the population mean?
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