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MATLAB: An Introduction with Applications

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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Question

Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the
sample has been randomly selected.
17) A machine dispenses a liquid drug into bottles in such a way that the standard deviation of
17)
the contents is 81 milliliters. A new machine is tested on a sample of 24 containers and the
standard deviation for this sample group is found to be 26 milliliters. At the 0.05 level of
significance, test the claim that the amounts dispensed by the new machine have a smaller
standard deviation.

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A researcher claims that the average number of calories in a serving of ice cream is 70 with a population standard deviation of 7. A sample of 40 servings of ice cream was found to be different with an average of 73 calories. Check the researcher’s claim at α = 0.05 and compute the test value.
A quality controller employed by a consumer testing organization reports that at 95% confidence he has determined that the true average content of the Uncola soft drinks is between 11.7 to 12.3 ounces. He further reports that his sample revealed an average content of 12 ounces, but he forgot to report the size of the sample he had selected. Assuming the standard deviation of the population 1.28, determine the size of the sample. ii. A simple random sample of 144 items resulted in a sample mean of 1257.85 and standard deviation of 480. Develop a 95% confidence interval for the population mean.
An engineer working for a tire manufacturer investigates the average life of a new material to be used in the manufacturing process. For this purpose, he builds a sample of 13 tires and tests them in a laboratory until the end of their useful life is reached. The data obtained from the sample are as follows: average of 60897.9 km and standard deviation of 2734.8 km. The engineer would like to demonstrate that the average service life of the tire with the new material exceeds 60,000 km. a) State the null and alternative hypothesis to be stated in this experiment. Test the stated hypotheses using an α = 0.05 What conclusions are reached? b) Find a 95% confidence interval for the average tire life with the new material. Interpret your answer. (RESPOND MANUALLY) (RESPOND MANUALLY)
Currently patrons at the library speak at an average of 61 decibels. Will this average increase after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 57 people speaking at the library. Their average decibel level was 63.8 and their standard deviation was 9. What can be concluded at the the αα = 0.10 level of significance?
The body temperatures of a group of healthy adults have abell-shaped distribution with a mean of 98.36°F and a standard deviation of 0.58°F. Using the empirical rule, find each approximate percentage below. What is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.20°F and 99.52°F? What is the approximate percentage of healthy adults with body temperatures between 96.62°F and 100.10°F?
Assume that an internet provider monitors the amount of time that every customer accesses their home internet connection each day. The amount of time that all of their customers access their home internet connection is normally distributed. They access it for an average of 8.9 hours per day with a standard deviation of 2.1 hours. What proportion of samples of 100 will spend less than an average of 9 hours on their home internet per day? Your answer should have 4 decimal places.
A sample is selected from a population with = 150. After a treatment is administered to the individuals, the sample mean is found to be = 140 and the standard deviation is S= 9. If the sample has n = 18 scores, determine whether the sample is sufficient to conclude that the treatment has significant effect. Use a two tail test with = 0.02.
A scientist interested in monitoring chemical contaminants in food, and thereby the accumulation of contaminants in human diets, selected a random sample of 25 male adults. From this sample, it was found that the average daily intake of dairy products was 756 grams per day with a standard deviation of 35 grams per day. Use this sample information to construct a 95% confide
75 specimens of the new chip were tested and 67 specimens of the old chip were tested. The average speed, in MHz, for the new chips was 494.9 and the standard deviation was 19.3. The average speed of the old chips was 485.8 and the standard deviation was 16.7. Suppose we wish to test Ho : Hx - Hy = 0 versus H1 : Hx - Hy # 0. Calculate the z-score. (answers are considered correct if they're within 5% of the correct value)

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