35 households were selected as part of a study on electricity usage and the number of kilowatt-hours was recorded for each household. . In a very large study in the first quarter of the previousyear, with a standard deviation of usage of 81 kWh. What is the required number of observationsnecessary to estimate the true average electricity usage per household with 95% confidence thatthe sample average within 25 KWhr of the true average?

Answered: Image /qna-images/answer/205dec79-f8b1-40f6-b5de-916ff74c84c4.jpg

Answered: 35 households were selected as part of…

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 lifetime of a particular component is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. What is the 30th percentile of component lifetimes?
QUESTION 2 A minimum mileage guarantee on the tires of a tire manufacturing company is being considered to be set. When the company conducted many tire tests, it revealed that the mean mileage has a normal distribution with mean 2,752 and standard deviation 119. The tire manufacturer wants to set the minimum guaranteed mileage so that no more than 2.5 percent of tires will have to be exchanged. Calculate the Lower limit of guaranteed mileage? (Round answer to two decimal places ex. 2.09)
glucose levels in oatients free of diabetes are assumed to follow a normal distribution with a mean of 120 and a standard deviation of 16. What proportion of patients have glucose levels exceesing 115?
The lifetime of a particular component is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. What is the 80th percentile of component lifetimes?
Suppose the total weight of passengers and luggage on an airline flight is normally distributed with mean 8914 and standard deviation 32 What is the 2.28th percentile of total passenger weight
Assume that a certain data is approximately bell-shaped with mean 91 and standard deviation 6. Use the Empirical Rule to find the percent of the data between 85 and 103. Show all the necessary calculations.
A trial study suggest that the standard deviation for the half life for the drug chlordiazepoxide is 8 hours. With 99% confidence, find the sample size needed to determine the mean half life for the drug with a margin of error of 3 hours.
To qualify for a medical study, an applicant must have systolic blood pressure in the 60% of the middle range. If the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of 4, find the upper and lower limits of blood pressure a person must have to qualify for the study.
The level of calciumin the blood of healthy young adults follows aNormal distributionwithmean μ = 10milligrams per deciliter and standard deviation = 0.4. A clinicmeasures theblood calcium of 100 healthy pregnant young women at their first visit for prenatal care.The mean of these 100 measurements is ¯ x = 9.8. Is this evidence that the mean calciumlevel in the population of healthy pregnant young women is less than 10? To answer this,test the hypotheses H0 : μ = 10 versus Ha : μ < 10 at the 5% significance level.(a) What is the value of the P-value?(b) Determine which of the following statements is true.• H0 should be rejected.• H0 should not be rejected.• Ha should be rejected.• There is a 5% chance that the null hypothesis is true.
A sample of size 31 was gathered from high school seniors to estimate how many intended to attend the state university. It is known that the proportion of the population answering "yes" was 0.7. What are the mean and standard deviation, and standard error of the mean of this sample? mean = E(p) = %3D standard error = SD(p) (accurate to 3 decimal places)
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Data from a government agency showed that the mean performance rating of employees is 87% with a standard deviation of 10%. Samples of 50 employees’ record were found to have a mean performance of 83. Based on this data, can we say that the mean performance of those employees were below the average at 0.05 level of significance?

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