The advertised claim for batteries for cell phones is set at 48 operating hours with proper chargingprocedures. A study of 2000 batteries is carried out and 19 stop operating prior to 48 hours. Thepopulation standard deviation is thought to be 0.75 hours and the sample mean from the 2000batteries was 50.3 hours.a) Do these experimental results support the claim that less than 1.5% of the company's batterieswill fail during the advertised time period, with proper charging procedures? Use a hypothesis-testing procedure with alpha = 0.01b) Compute a 99% confidence bound to answer question in part a).c) Is there evidence to support the claim that the mean battery life exceeds 48 hours? Use alpha= 0.01d) Compute an appropriate confidence bound to answer question in part c). Use alpha = 0.01

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Answered: The advertised claim for batteries for…

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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A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 54 months and a standard deviation of 6 months. Using the empirical rule, what is the approximate percentage of cars that remain in service between 60 and 72 months?ans = %
The length of students' college careers at Anytown University is known to be normally distributed, with a mean length of 5.5 years and a standard deviation of 1.75 years. What is the lower quartile for the length of students' careers at Anytown University?
A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.9 in. The survey also found that men's heights are normally distributed with mean 69.7 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. What's the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park?
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Historically, evening long-distance calls from a particular city have averaged 15.1 minutes per call. In a random sample of 37 calls, the sample mean time was 13.3 minutes. Assume the standard deviation is known to be 5 minutes. Using a 0.05 level of significance, is there sufficient evidence to conclude that the average evening long-distance call has decreased?
A particular IQ test is standardized to a Normal model, with a mean of 80 and a standard deviation of 8. A group of 8,000 people had participated in a study based on IQ. Using the Empirical rule determine about how many of them should have IQ scores more than 72?
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 55 months and a standard deviation of 8 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 31 and 47 months?
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.068.06 and a standard deviation of 1.521.52. Using the empirical rule, what percentage of American women have shoe sizes that are at least 9.589.58?
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Using traditional methods, it takes 11.7 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 11.3 hours with a standard deviation of 1.4 A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis. Is it reject null hypothesis or fail to reject null hypothesis
Using traditional methods, it takes 98 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 270 students and observed that they had a mean of 97 hours. Assume the standard deviation is known to be 7. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Is there sufficient evidence to support the claim that the technique performs differently than the traditional method? What is the conclusion?
The recommended hours of sleep per night for adults is 8 hours. A doctor, who works at a sleep study facility, believes average number of hours of sleep per night for adults is more than the recommended 8 hours. To test this claim, at th significance level, the doctor collects the following data on a sample of 25 adults at the sleep study facility and records amount of sleep. The following is the data from this study: Sample size = 25 adults Sample mean = 8.5 hours Sample standard deviation = 0.9 hours Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=#, t represent the correct hypothesis.) Provide your answer below:

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