The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 40 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.213 mm and sample standard deviation 0.01 mm. Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.01 significance level. (a) Identify the correct alternative hypothesis Ha: Ομ= 21.21 Ομ> 21.21 Ομ< 21.21 Give all answers correct to 4 decimal places. (b) The test statistic value is: (c) Using the Traditional method, the critical value is: (d) Based on your answers above, do you: Fail to reject Ho O Reject Ho (e) Explain your choice in the box below. (f) Based on your work above, choose one of the following conclusions of your test: O There is not sufficient evidence to support the claim O There is sufficient evidence to warrant rejection of the claim O The sample data supports the claim O There is not sufficient evidence to warrant rejection of the claim

The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 40 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.213 mm and sample standard deviation 0.01 mm. Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.01 significance level. (a) Identify the correct alternative hypothesis Ha: Ομ= 21.21 Ομ> 21.21 Ομ< 21.21 Give all answers correct to 4 decimal places. (b) The test statistic value is: (c) Using the Traditional method, the critical value is: (d) Based on your answers above, do you: Fail to reject Ho O Reject Ho (e) Explain your choice in the box below. (f) Based on your work above, choose one of the following conclusions of your test: O There is not sufficient evidence to support the claim O There is sufficient evidence to warrant rejection of the claim O The sample data supports the claim O There is not sufficient evidence to warrant rejection of the claim

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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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of
millimeters 21.21 mm. A sample of 40 nickles was drawn from a reported defective coin-counter
machine located near a school. The sample had a sample mean of 21.213 mm and sample standard
deviation 0.01 mm.
Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than
21.21 mm. Test at the 0.01 significance level.
(a) Identify the correct alternative hypothesis Ha:
Ομ= 21.21
Ομ> 21.21
Ομ< 21.21
Give all answers correct to 4 decimal places.
(b) The test statistic value is:
(c) Using the Traditional method, the critical value is:
(d) Based on your answers above, do you:
O Fail to reject Ho
O Reject Ho
(e) Explain your choice in the box below.
(f) Based on your work above, choose one of the following conclusions of your test:
O There is not sufficient evidence to support the claim
O There is sufficient evidence to warrant rejection of the claim
O The sample data supports the claim
O There is not sufficient evidence to warrant rejection of the claim

(g) Explain your choice in the box below.

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