Hypothesis testing is often used to determine if the results of an event are statistically feasible or highly unlikely. Cases that are unlikely are still possible, but should be investigated further to determine why the result occurred.Conduct an experiment by flipping 10 coins and counting how many are heads up. This may be done using actual coins or by a random number simulator. Predict the mean for the number of heads that will occur when 10 coins are flipped. μo _____________Run the coin flipping experiment 36 times recording how many heads occur in each trial. State the results of these trials using the table below, then calculate the mean and standard deviation for the number of heads up in this sample data.Heads:12345678910Freq: x=__________________________ s=________________________________ Construct a 95% confidence interval for the population mean number of heads up when flipping 10 coins. Does the population mean lie in this confidence interval?Conduct a hypothesis test where and from the predicted population mean. What is the tail area from the sample mean that was found? Is the null hypothesis accepted or rejected at the 20% level of significance?Draw a sketch showing the results of the hypothesis test. Shade the tail area from the sample mean in this test.

Answered: Hypothesis testing is often used to…

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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Hypothesis testing is often used to determine if the results of an event are statistically feasible or highly unlikely. Cases that are unlikely are still possible, but should be investigated further to determine why the result occurred.

Conduct an experiment by flipping 10 coins and counting how many are heads up. This may be done using actual coins or by a random number simulator. Predict the mean for the number of heads that will occur when 10 coins are flipped.

μo _____________

Run the coin flipping experiment 36 times recording how many heads occur in each trial. State the results of these trials using the table below, then calculate the mean and standard deviation for the number of heads up in this sample data.

Heads:	1	2	3	4	5	6	7	8	9	10
Freq:

x=__________________________ s=________________________________

Construct a 95% confidence interval for the population mean number of heads up when flipping 10 coins. Does the population mean lie in this confidence interval?
Conduct a hypothesis test where and from the predicted population mean. What is the tail area from the sample mean that was found? Is the null hypothesis accepted or rejected at the 20% level of significance?
Draw a sketch showing the results of the hypothesis test. Shade the tail area from the sample mean in this test.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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