The state highway department is studying traffic patterns on one of the busiest highways in the state.As part of the study, the department needs to estimate the average number of vehicles that pass anintersection each day. A random sample of 64 days gives us a sample mean of 14,205 cars and asample standard deviation of 1,010 cars. Compute the 99% confidence interval for the mean u numberof cars passing the intersection

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Answered: The state highway department is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

a bank wishing to determine the average amount of time a customer must wait to be served took a random sample of 100 customers and found that the mean waiting time was 7.2 minutes. assuming that the population standard deviation is known to be 15 minutes, obtain the 90% confidence interval estimate of the mean waiting time for all the bank customers
Taking a random sample of 35 individuals waiting to be serviced by the teller, we find that the mean waiting time was 22.0 minutes and the standard deviation was 8.0 minutes. Construct a 97% confidence interval of the mean waiting time for all individuals waiting in the service line. If an individual waited for 15 minutes, would this be considered unusually fast?
In a sample of 10 randomly selected black bears from northeast Pennsylvania, the sample mean was 214.1 pounds and the sample standard deviation was 51.1 pounds. Construct a 99% confidence interval estimate for the population standard deviation of all black bears in this region.
A paint manufacturer wants to determine the average drying time of a new interior wall paint. If for 12 test areas of equal size he obtained a mean drying time of 66.3 minutes and a standard deviation of 8.4 minutes, conduct a 95% confidence interval for the true mean .
Many companies allow managers to accumulate extra working hours above 40 hrs/week (called comp time). Suppose a VP wants to estimate the avg amount of comp time accumulated per week for all managers in her company. The VP selects a random sample of 18 managers. If the sample reveals an average comp time of 13.56 hrs/week, with a standard deviation of 7.8 hrs, construct a 90% confidence interval to estimate the avg amount of comp time accumulated per week in the company.
The treasurer of a municipality claims that the average net worth of families living in this municipality is P730,000. A random sample of 50 families selected from this area produced a mean net worth of P860,000 with standard deviation of P65,000. Using 1% significance level, can we conclude that the claim is true? Also, find the 99% confidence interval of the true mean.
A company that produces white bread is concerned about the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice with a standard deviation of 10 milligrams. Construct a 99% confidence interval for the unknown mean sodium level.
In order to estimate the number of calls to expect at a new suicide hotline, volunteers contact a random sample of 40 similar hotlines across the nation and find that the sample mean is 42.0 calls per month. Construct a 95% confidence interval for the mean number of calls per month. Assume that the population standard deviation is known to be 6.5 calls per month.
2.) From a simple random sample of 30 Honda Accords (4 cylinder, 2.4 liter, 5-speed automatic), the mean gas mileage was 23 miles per gallon with a standard deviation of 1.5 miles per gallon. Construct a 95% Confidence Interval for the mean gas mileage of similar 2005 Honda Accords.
A gardener is testing a new type of carrot. From a sample of 15 carrots, she calculates a mean length of 7.2 inches and standard deviation of 1.23 inches. Find a 95% confidence interval for the mean length of this new type of carrot.
The number of riders of a campus bus that transports students from the parking lot to the campus on 12 randomly chose trips yielded an average and standard deviation of 54.4167 and 7.2420, respectively. What is the 90 percent confidence interval for the daily average number of students who ride the campus from the parking lot?
The Aloha Taxi Cab Company of Honolulu, Hawaii, wants to estimate the mean life of tires on its cabs. A random sample of 15 tires from the cabs are found to have a life of 18,280 miles with sample standard deviation of 1,310 miles. Find a 90% confidence interval for the mean life of all such tires on Aloha Taxi Cabs.

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