Answered: he high temperatures (in degrees…

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

The high temperatures (in degrees Fahrenheit) of a random sample of 46 small towns are:

99.3	97.9	98.4	98.9
98.2	99.8	99.6	97.5
98.3	98.7	96.3	99
97.1	97.8	96.6	96.4
99.2	99.8	99.4	99.4
99.7	96.7	99.5	99.3
97.2	97.7	98.5	98.5
98.8	98	98.6	98.9
97	99.9	97.3	96.8
96.7	98.4	98.3	99.9
98.7	99.2	97.6	96.9
97.6	98.8

Assume high temperatures are normally distributed. Based on this data, find the 90% confidence interval of the mean high temperature of towns. Enter your answer as an open-interval (i.e., parentheses with a comma) accurate to two decimal places (because the sample data are reported accurate to one decimal place).

90% C.I. =

Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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