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Description: Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original

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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Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

A coin mint has a specification that a particular coin has a mean weight of

2.5

g. A sample of

coins was collected. Those coins have a mean weight of

2.49565

g and a standard deviation of

0.01524

g. Use a

0.05

significance level to test the claim that this sample is from a population with a mean weight equal to

2.5

g. Do the coins appear to conform to the specifications of the coin mint?

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 36 coins was collected. Those coins have a mean weight of 2.49565 g and a standard deviation of 0.01524 g. Use a 0.05 significance level to test the claim that this sample is from a population with a
mean weight equal to 2.5 g. Do the coins appear to conform to the specifications of the coin mint?
What are the hypotheses?
Ο Α. Η0: μ= 2.5 g
в. Но: и32.5 g
H1: µ<2.5 g
H1: u#2.5 g
O D. Ho: µ#2.5 g
O C. Ho: H=2.5 g
Η: μ2 2.5 g
H,: µ=2.5 g
Identify the test statistic.
t= - 1.713 (Round to three decimal places as needed.)
Identify the P-value.
The P-value is
(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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