In a study of vehicle speeds on a certain section of highway, a simple random sample of41 cars resulted in a mean of 57.5 mph with a standard deviation of 5.0 mph. Construct a 99 percent confidence interval estimate of the mean speed (to nearest 0.1 mph) of all vehicles on thatsection of highway. [Note: Table A-3 might be helpful since the population standard deviation isunknown.]

From the given information, Sample size is 41 cars Sample mean, x-bar=57.5 Sample standard deviation…

Answered: In a study of vehicle speeds on a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a randoms sample of six people, the mean driving distance to work was 19.7 miles and the standard deviation was 6.1 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u. Interpret the results.
A study of 96 bolts of carpet showed that their average length was 77.5 yards. The standard deviation of the population is 1.6 yards. Which of the following is the 90% confidence interval for the mean length per bolt of carpet?
A regional airline serving Las Vegas has a base airfare rate of $99. In addition, various fees are charged: for checked baggage, refreshments/drinks in-flight, and for making a reservation on its website. These additional charges average $70 per passenger. Suppose a random sample of 59 passengers is taken to determine the total cost of their flight. The population standard deviation of total flight cost is known to be $40. (a) What is the population mean cost per flight in dollars? $ (b) What is the probability the sample mean will be within $10 of the population mean cost per flight? (Round your answer to four decimal places.) (c) What is the probability the sample mean will be within $5 of the population mean cost per flight? (Round your answer to four decimal places.)
A study is conducted to find the mean life of a certain manufacturer's car batteries. A random sample of 34 batteries is selected and a mean of 47.5 months with a standard deviation of 7.3 months is found. Find a 95% confidence interval for the mean battery life.
The monthly advertising expenditure of the company is normally distributed with astandard deviation of $200. If a sample of 36 randomly selected months yields a meanadvertising expenditure of $1360 monthly, what is a 94% confidence interval for the mean ofthe company’s monthly advertising expenditure?
An farmer is convinced that the weighing instrument for palay had a variability measured by standard deviation equal to 2. He recorded the measurements 4.1, 6.5, 5.2 and 10.2. Do these data confirm or disprove his assertion? Use a 95% confidence level.
Suppose a sample of 30 students are given an IQ test. The sample has a standard deviation of 12.23 points. Assuming IQ test score follow a normal distribution, suppose the researcher wishes to obtain a 90% confidence interval for the population standard deviation.
On a measure of running speed on a 100 meter dash, students received timed scores ranging from 12 seconds to 24 seconds. The distribution of running times is normative with a mean of 16 seconds. Transferring this ratio data to standard scores for comparison with the results of classes from other departments, the mean score is assigned a standard score of 100 with a standard deviation of 10. From this example, a standard score of 99 would mean the actual value in seconds for an individual would be about a. 16 b. 12 c. 19 d. 24
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3) A SRS of 25 of the same model of car results in an annual mean maintenance cost of $575 and a standard deviation of $58. A car sales person claims the annual mean maintenance cost of that model is less than $600. Test the claim with a = .01.
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13.34 Women's heights. The heights of adult women are approximately Normal with mean 69.2 inches and standard deviation 2.5 inches. How tall are the tallest 10% of women? (Use the closest percentile that appears in Table B.)

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