It is of interest to verify that the content of coke-filled bottles is the prescribed 13 ounces. Assuming that the content is a random variable having a normal distribution Nμ,0.04, a random sample of size n=25 is taken and it is found that the sample mean is 12.9. Test the null hypothesis

It is of interest to verify that the content of coke-filled bottles is the prescribed 13 ounces. Assuming that the content is a random variable having a normal distribution Nμ,0.04, a random sample of size n=25 is taken and it is found that the sample mean is 12.9. Test the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Question

=
Ho: μ
H₁: µ< 13
at the 5% level of significance. The value of the test statistic and the decision are
13 vs
-2.5, reject the null hypothesis
-0.5, do not reject the null hypothesis
0, do not reject the null hypothesis
-12.5, reject the null hypothesis

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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