The mean life time of a sample of 400 fluoroscent light bulbs produced bya company is found to be 1,570 hours with a standard deviation of 150 hours. Test thehypothesis that the mean life time of the bulbs produced by the company is 1600 hoursagainst the alternative hypothesis that it is greater than 1,600 hours at 1% level ofsignificance.

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Answered: The mean life time of a sample of 400…

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 shipping firm suspects that the mean life of a certain brand of tire used by its trucks is lessthan 38,500 miles. To check the claim, the firm randomly selects and tests 28 of these tires and gets a mean lifetime of 37,550 miles with a standard deviation of 1250 miles. At α = 0.02, test the shipping firm's claim. Round the test statistic to the nearest thousandth.
The mean of the commute time to work for a resident of a certain city is 27.3 minutes. Assume that the standard deviation of the commute time is 7.1 minutes. What minimum percentage of commuters in the city has a commute time within 2.5 standard deviations of the mean? What are the commute times within 2.5 standard deviations of the mean?
A tire manufacturer claims that the mean life of its tire is 75,000 miles. The mean of a sample of 50 tires is 74,200 miles with a standard deviation of 2300 miles. Using an alpha of 5%, does the manufacturer’s claim appear to hold ture? Explain.
A manufacturer of TV tubes has for many years used a process giving a meantube life of 4700 hours and a standard deviation of 1460 hours. A new process is tried to see if it will increase the life significantly. A sample of 100new tubes gave a mean life of 5000 hours. Is the new process better than the old one at a 1% level of significance?
The sociologist finds that for a certain population, the mean number of years of educations is 13.2 years witha standard deviation of 3.04 years. From a certain region, a random sample of 62 people is drawn from thispopulation and recorded a sample mean of 13.96 years. Test the claim that the mean number of years ofeducation is the same from the population with 0.05 level of significance.
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
A simple random sample of 95 basketball players is taken from different teams and their mean weight is found to be 226 pounds and the standard deviation of the population is 20 pounds. Using 0.05 level of significance , test the claim that the average weight for all basketball players is 231 pounds.
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 peditrician claimed that the average time for a drug to take effect is 15 minutes with standard deviation of eight minutes. In sample of 49 trials the average time was 18 minutes. Test the claim of a pediatrician that the average time is not equal to 15 minutes. Assume the the average time for a drug to take effect is approximately normal distributed
The General Electric Company clams that the life of LED light bulbs are has a mean life of 500 hours with the standard deviation of 50 hours. Test the claim of the manufacturer if a random sample of 80 LED light tested and found out to be 450 hours only. Use 5% level of significance.
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.8 and a standard deviation of 61.7. What is the approximate percentage of women with platelet counts between 192.1 and 315.5?
A recent study stated that if a person chewed gum, the average number of sticks of gum he or she chewed daily was 8. To test the claim, the researcher selected a random sample of 36 gum chewers and found the mean number of sticks of gum chewed per day was 8. The standard deviation of population is 1. at a = 0. 05, is the number of sticks of gum a person chews per day actually greater than 8. There is not enough evidence to support the claim that average is greater than 8. There is enough evidence to support the claim that average is greater than 8. There is enough evidence to support the claim that average is smaller than 8. There is not enough evidence to support the claim that average is greater than 8.

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