Write the decision rule through a bell curve The average pre-school costfor tuition fees last year wasP17,250. The following year,20 institutions had a mean ofP16,150 and a standarddeviation of P2,250. Is theresufficient evidence at a=0.10of level of significance toconclude that the mean costhas increased? *

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Answered: The average pre-school cost for tuition…

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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The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at mean cost of $125,000 or less per lot. Suppose a sample of 41 properties provided a sample mean of $133,000 per lot and a population standard deviation of $13,000. Use a .1 level of significance to test the validity of the advertising claim.
the chamber of commerce of a florida gulf coast community advertises that area residential property is available at a mean cost of $125,000 or less per lot. Suppose a sample of 32properties provided a sample mean of $130,000 per lot and a sample standard deviation of$12,500. use a .05 level of significance to test the validity of the advertising claim.
In a study of consumer credits, 22 randomly selected credit holders were surveyed, andthe mean amount of credit in the past year was found to be $2450 and the standarddeviation of $320. Use significance level α=0.05 to test that the mean is greater than $2300.
The amount of sodium(in milligrams) in one serving for a random sample of three different kinds of foods is listed here. At the 0.05 level of significance, is there sufficient evidence to conclude that a difference in mean sodium amounts exists among condiments, cereals, and desserts?
CNN/Money reports that the mean cost of a speeding ticket, including court fees, was $150.00 in 2002. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 150 drivers who have been fined for speeding in the last year, and find that they paid a mean of $154.00 per ticket. Assuming that the population standard deviation is $17.54, is there sufficient evidence to support the police department’s claim at the a = 0.05 significance level?
The Sunny Dale Bank monitors the time required to serve customers at the drive-through window because it is an important quality factor in competing with other banks in the city. After analyzing the data gathered in an extensive study of the window operation, bank management determined that the mean time to process a customer at the peak demand period is 5 minutes, with a standard deviation of 1.5 minutes. Management wants to monitor the mean time to process a customer by periodically using a sample size of six customers. Assume that the process variability is in statistical control. Design an x-chart that has a type I error of 5 percent. That is, set the control limits so that there is a 2.5 percent chance a sample result will fall below the LCL and a 2.5 percent chance that a sample result will fall above the UCL. After several weeks of sampling, two successive samples came in at 3.70 and 3.68 minutes, respectively. Is the customer service process in statistical control?
The quality-control manager at a light bulb factory needs to determine whether the mean life of a large shipment of light bulbs is equal to 375 hours. The population standard deviation is 100 hours. A random sample of 64 light bulbs indicates a sample mean life of 350 hours. a) At the 0.05 level of significance, is there evidence that the mean life is different from 375hours?
As a part of her evaluation of Atlanta city employees, the Mayor instructs you to audit the parking tickets issued by city parking officers to determine the number of tickets per officer that were improperly issued. Because there has recently been a change in the parking department's hiring practices, the Mayor suspects that the mean number of improperly issued tickets has changed. In past years, the number of improperly issued tickets per officer had a Normal distribution with a mean (mu) of 380, and std dev (sigma) of 35.2. You conduct a hypothesis test at the 95% level to test the null hypothesis that the mean number of improperly issued tickets is different than 380. Your audit of 25 randomly selected parking officers yields an average of 400 tickets. What do you conclude about the rate of improperly issued tickets?
A toothpaste manufacturer claims that children brushing their teeth daily with his company’s product (brand A) will have fewer cavities than children using brand B. In a carefully supervised study, the number of cavities in a sample of 5 children using brand A toothpaste was compared with the number of cavities in a sample of 5 children using brand B toothpaste. Using the information below, assess whether there is a significant difference in the mean number of cavities across the two groups. Use an alpha level of .05. Obtained value: Critical/ cut-off value: Conclusion: Brand A Brand B Mean = 1.1 Mean = 4.3 SS = 12 SS = 10
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) An automobile manufacturer advertises that one of its models of cars achieves 32 miles per gallon forhighway driving. A consumer advocacy group claims that the advertisement is incorrect and selects arandom sample of 28 nonprofessional drivers and each one drives the car from West Windsor, NJ toWashington, DC. The mean miles per gallon was determined to be 30.76 mpg with a standard deviationof 2.32. Assuming fuel efficiency is normally distributed under these circumstances, test the advocacy’sclaim at  = 0.10. (Show all steps.)

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The average pre-school cost for tuition fees last year was P17,250. The following year, 20 institutions had a mean of P16,150 and a standard deviation of P2,250. Is there sufficient evidence at a=0.10 of level of significance to conclude that the mean cost has increased? *