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Traffic engineers are studying a long tunnel in colorado. if x represents the time for a vehicle to go through the tunnel, it is known that x is normally distributed with mean 12.1 minutes and standard deviation 3.8 minutes, under ordinary traffic conditions. what is the probability that a single car chosen at random will travel through the tunnel in 10 minutes?
Obtain a 95% confidence interval for the mean monthly rent for two-bedroom apartments. Assume that measurements are normally distributed. Round to two decimal places.
Assuming the percentages are based on independant simple random samples of 1,000 first year college students drawn each year.
Why do so many of life's events share the same characteristics as the central limit theorem? Why are estimations and confidence intervals important? When might systematic sampling be biased?
Marital Status. The probability that a randomly chosen 40-year-old woman is divorced is about 0.15. this probability is a long-run proportion based on all the millions of women aged 40.
Finds the average life time for this sample is 970 hour and the standard deviation is 80 hours. Can the firm claim that the average life time is 1000 hours at the 5% level of significance?
Define the Linear programming problem (LPP)
Need to find the value of the Test Statistic and calculate the mean squares for regression and error for the following:
Choice of exponential smoothing constant w has little or no effect on forecast values using exponential smoothing.
Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (0 decimals)?
In previous tests, baseballs were dropped 24ft onto a concrete surface, and they bounced an average of 92.84% in. In a test of a sample of 40 new balls, the bounce had a mean of 92.67 in.
Change the last number in that set from 36 to 14 and recalculate the confidence interval. Using the results, describe the effect of an outlier or extreme value on the confidence interval.
Wwith a standard deviation of 1.7 grams. Assuming the distribution of weights is normally distributed, 4% of whooping crane eggs weigh less than how many grams?
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