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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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100%

The health of the bear population in Yellowstone National Part is monitored by periodic measurements taken from anesthetized bears. A sample 54 bears has a mean
weight of 182.9 lb. Assuming that o is known to be 121.8 lb., fınd a 99% confidence estimate of the population of all bear weights.

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is computed from a sample and is used to estimate a population parameter.
Twenty patients sampled at random were matched by age and BMI. One of each pair was assigned at random to a new treatment and the other to an existing treatment. Ultrasound examination of a certain tumourtwdght (in grams) produced the following results. 12.5 6.5 10.5 8. 9.9 10.5 Existing Treatment 15.5 5. 8.5 10.6 8.4 10 New Treatment 14 5.7 11.5 10 7 7.5 8. To answer the following questions, report the numerical computations to four decimal places. (a) Test whether there is a difference in the two treatments at 5% level of significance. (b) Find a 90% confidence interval for the mean difference in the treatments. (c) What would be the conclusion in (a) if we had wrongly ignored the pairing?
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In a population-based cohort study, an entire community was interviewed regarding smoking habits and then followed for one year. Upon ascertainment of all lung cancer deaths, the investigator obtained the following data: Number of Individuals Lung Cancer Deaths Smokers 24,500 15 Nonsmokers 10,500 2 Calculate the risk difference per 100,000 per year. Round to the tenth decima
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It costs more to produce defective items—since they must be scrapped or reworked—than it does to produce non-defective items. This simple fact suggests that manufacturers should ensure the quality of their products by perfecting their production processes instead of depending on inspection of finished products (Deming, 1986). In order to better understand a particular metal stamping process, a manufacturer wishes to estimate the mean length of items produced by the process during the past 24 hours. a. How many parts should be sampled in order to estimate the population mean to within .2 millimeter (mm) with 95% confidence? Previous studies of this machine have indicated that the standard deviation of lengths produced by the stamping operation is about 2 mm. b. Time permits the use of a sample size no larger than 225. If a 95% confidence interval for m is constructed with n = 225, will it be wider or narrower than would have been obtained using the sample size determined in part a?…
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 142 lb, the boat was rated to carry 60 passengers (so the load limit was 8,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 142 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 178.5 lb and a standard deviation of 36.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 142 lb. The probability is 1.000. (Round to four decimal places as needed.) C.. b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,223 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,223 lb). The probability is. (Round to four decimal…
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