Answered: The amount of flour in a 10 pound bag…

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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The amount of flour in a 10 pound bag of Queen Asha flour is normally distributed with a mean of 10 pounds and a standard deviation of 0.05 pounds. A sample of 12 bags of Queen Asha flour have the following weights:

10.03	10.02	9.98	9.99	9.99	10.01
10.02	9.96	9.94	9.98	9.99	10.00

Use this data with ? = 0.02 to test the claim that the standard deviation of weights is less than 0.05 pounds.

(a) Which distribution is appropriate to use here? ---Select--- standard normal distribution chi-square distribution Student's t distribution
(b) What type of test is necessary? ---Select--- left-tailed right-tailed two-tailed
(c) The sample test statistic is (round to two decimal places)
(d) The P-value is (round to four decimal places)
(e) We ---Select--- reject fail to reject the null hypothesis, and conclude that at the ---Select--- 1% 2% 5% level of significance, there is ---Select--- sufficient insufficient evidence to conclude that the standard deviation of weights is less than 0.05 pounds.

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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