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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.
Mean and standard deviation are 584.6 and 34.28
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.
The weight of a small Starbucks coffee is a random variable with a mean of 360 g and a standard deviation of 9 g. Use Excel to find the weight corresponding to each percentile of weight.
An insurance company has gathered the following information regarding the number of accidents reported per day over a period of 100 days.
What is the 99% confidence interval, if the population standard deviation is known to be 10 days? What is the 99% confidence interval, if the sample standard deviation is 10 days?
Assuming the tires are selected at random from among all tires being produced, how many tires in the shipment of 3000 are expected to have a lifetime that is less than 35,000 miles?
What is the p value? Describe the steps in formal hypothesis testing. Make at least one comment for each step.
The probability that a patient recovers from a disease is 63%. What is the probability that:
Find out the z values for 29 and 34 hours. What percent of the garages take between 32 hours and 34 hours to erect? What percent of the garages take between 29 hours and 34 hours to erect?
What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
A raffle offers a first prize of $1000 2 second prizes of $300 and 20 third prizes of $10 each. If 15000 tickets are sold at 75 cents each, find the expected winnings (IN CENTS) for a person buying one ticket?
What proportion of children 10-15 years would be classified as hyperlipidemia(assume that hyperlipidemia is defined as a total cholesterol level over 200)?
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