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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.
510 people were asked which of four fast food restaurant were their favorite. Determine if there is a preference for any one place over any other.
Show that it satisfies the required condition for being a probability distribution.
You listen to radio station for 1 hour, at arbitrarily selected time, and carefully observe that amount of advertising time is equal to 7 minutes. Compute z-score for this amount of advertising time.
Would it be unusual for a return with income of $100,000 or more to be audited? What is the probability that two randomly selected returns with income of $100,000 or more will not be audited?
Using the 0.05 level of significance, is there any evidence of a difference in the average life of bulbs produced by the two types of machines?
Is there evidence of difference in mean life of bulbs produced by the two kinds of machines. What is your conclusion?
The average age of statistics students nationwide is 22. The standard deviation is 2.5 years. Assume the age is a normally distributed variable. Find the probability that one student selected at random is older than 23.
One possible explanation for why some birds migrate and others maintain year round residency in a single location is intelligence.
A football team's season ticket sales, percentage of games won, and number of active alumni for the years 1992-2000 are given below:
If 16 out of 20 spins just came up black, determine the probability that next spin is going to be red?
A study is conducted to determine if the traffic light patterns at a busy intersection need to be adjusted to help the flow of traffic. Data on the volume of traffic and the traffic patterns during different times of day are recorded.
Test the hypothesis that the proportion of all student cell phone users in the United States who own a smartphone is 35%. Use the 5% level of significance and report your results.
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