Answered: Workers at a certain soda drink factory…

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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Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of

cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of

0.14

oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between

11.92

oz and

12.60

oz, the range rule of thumb can be used to estimate that the standard deviation should be less than

0.17

oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than

0.17

oz. Use a

0.01

significance level. Complete parts (a) through (d) below.

Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population. If the
workers want the filling process to work so that almost all cans have volumes between 11.92 oz and 12.60 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.17 oz. Use the sample data to test the claim that the population of volumes
standard deviation less than 0.17 oz. Use a 0.01 significance level. Complete parts (a) through (d) below.
a. Identify the null and alternative hypotheses. Choose the correct answer below.
B. Ho: 0 = 0.17 oz
O A. Ho: o =0.17 oz
H,: o 0.17 oz
H,: o<0.17 oz
O C. Ho: o> 0.17 oz
H,: 0 = 0.17 oz
O D. Ho: 020.17 oz
H,: o<0.17 oz
b. Compute the test statistic.
x2 = 11.529
(Round to three decimal places as needed.)
c. Find the P-value.
P-value =|
(Round to four decimal places as needed.)

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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