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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

A researcher must estimate the mean temperature (in degrees Fahrenheit) with the
following sample temperatures:
35
62.6
19.1
39.4
80.4
46.3
54.2
45.5
50.7
45.3
Assuming the population of temperatures are normally distributed, find the 98%
confidence interval. Round the answers to two decimal places. Enter your answer as an
interval of the form (LB,UP).
The researcher is 98% confident that the population average temperature is within the
temperature interval

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When computing a 95% CI for a population mean, the ____ is used as the point estimate. Sample Mean SEM UB or LB T-value for the middle 95% of all possible t-values
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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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