(c) Chacha Corporation makes electric face brush. The life of electric face brushmanufactured by this corporation has a normal distribution with a mean of 70 monthsand a standard deviation of 8 months. The company is to determine the warrantyperiod for this brush. Any brush that needs a major repair during this warranty periodwill be replaced free by company.iWhat should the warranty period be if the company does not want to replacemore than 1% of the brushes?iiWhat should the warranty period be if the company does not want to replacemore that 5% of the brushes?

Given Data : Population Mean,μ = 70 Population Standard Deviation,σ = 8

Answered: (c) Chacha Corporation makes electric…

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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Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 3% of the customers. What should the maximum guaranteed waiting time be? Assume that the times taken for oil and lube service for all cars have a normal distribution.Round your answer to the nearest minute.
8. Suppose the length of the newborn babies in a community is normally distributed with an average of 50 cm and a standard deviation of 3cm. If a newborn baby's length is 95th percentile, find the length in cm.
5. Old Faithful is a famous geyser at Yellowstone National Park. From a sample of 40 eruptions, the mean duration of Old Faithful eruptions is 3.7 minutes, and the standard deviation is 1.2 minutes. Find the percent of eruptions that have lasted from 1.3 minutes to 6.1 minutes.
A certain company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a battery is normally distributed, with a mean of 57 months and a standard deviation of 8 months. If the company does not want to make refunds for more than 10% of its batteries under the full-refund guarantee policy, for how long should the company guarantee the batteries (to the nearest month)?
15. The Exotic Fruit Juice Co. sell cartons of Passion Fruit and Orange fruit juice. The amount of liquid in each carton is normally distributed with a mean of 266ml and a standard deviation of 20ml. Cartons containing more than 300ml produce no profit. What percentage of cartons will this be?
The average endurance time of a battery released by a battery-producing factory is 15 months, and the standard deviation is 1.5 months. If it is accepted that the endurance times of batteries show a normal distribution, what should be the warranty period so that no more than 5% of the batteries are replaced.
Derby Leicester is a city planner preparing for a meeting with the mayor. He would like to show that the population mean age of the houses on Lincoln Street is less than the population mean age of the houses on Maple Street so that more resources are allotted to repair Maple Street. Derby uses information from a previous study to assume that the population standard deviation for the ages of the houses on Lincoln Street is 7.72 years and 8.39 years for the houses on Maple Street. Due to limited time, Derby randomly selects the houses on Lincoln Street and the houses on Maple Street from the city’s property records and then records the age of each house in years. The results of the samples are shown in the table below. Assuming the conditions needed for the hypothesis test have been met, what is the z test statistic for this hypothesis test, rounded to two decimal places? Lincoln Street Maple Street x¯¯¯1=50.91 years x¯¯¯2=59.27 years n1=41 n2=37
Suppose that the time required to complete a 1040R tax form is normally distributed with a mean of 100 minutes and a standard deviation of 20 minutes. What proportion of 1040R tax forms will be completed in at least 105 minutes? Round your answer to at least four decimal places.
please help
A company provides home internet networking services and promises customers to be compensated for a 1 delayed service if the service calls cannot be resolved under an hour. Times for service calls is known to follow a normal distribution with a mean of 65 minutes and standard deviation of 7 minutes. What is the shortest range of service times that includes 25% of all service calls? Type your numerical answer here.
28. A recent study by The Fresno Bee showed that 4% of Fresnans have a commute time (the time it takes to get to work) of more than 22 minutes. If the standard deviation of commute times is 3.5 minutes, what is the mean of all commute times?

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