Answered: The desired percentage of Silicon…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 17 independently obtained samples are analyzed and a sample mean of 5.3 was obtained.
Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this show conclusively that the true average is smaller than 5.5?
A) State H0 and Ha
B) Test the hypothesis using the P-Value approach at a significance level of 4.2%, and express your decision.
C) Determine the extreme value without rejecting the H0.

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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