Answered: How much does a sleeping bag cost?…

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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How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°Fto 45°F.A random sample of prices ($) for sleeping bags in this temperature range is given below. Assume that the population of xvalues has an approximately normal distribution.

50	45	50	105	90	40	30	23	100	110
105	95	105	60	110	120	95	90	60	70

(a)Use a calculator with mean and sample standard deviation keys to find the sample mean price xand sample standard deviation s. (Round your answers to four decimal places.)

x=$77.65

s=$30.3389

(b)Using the given data as representative of the population of prices of all summer sleeping bags, find a 90% confidence interval for the mean price ?of all summer sleeping bags. (Round your answers to two decimal places.)

lower limit$

upper limit$

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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