This activity involves testing a hypothesis about a population mean, μ,μ, where σσ, the population standard deviation is unknown. We will test a hypothesis about the number of letters in students' last names. The claim is that the average number of letters in students' last names is less than 7. Assume that the population standard deviation, σ,σ, is not known and that s the sample standard deviation has to be calculated.students last names:Flores - 6Zhang - 5Vuong - 5Figueroa - 8Decide the significance level you are going to use to test.Determine the mean (average) and the standard deviation of the last names. Hi my name isStep 1: Ho: uHai 4.(make sure you put in the appropriate symbols, values and labels)Step 2: aStep 3: Critical value(s): ta%3Ddegrees of freedom (n - 1) =Step 4: Graph, label and shade the critical regions and label the critical values. Step 5: Test statistic (show all steps) :t =Calculate: mean:standard deviation:Person's lastXX2variance:namez:Step 6: Decision criteria:reject Ho if trest.tevStep 7: DecisionStep 8: Conclusion (write the appropriate conclusion with theclaim):Totals

The necessary calculations are made in the following table:

Answered: This activity involves testing a…

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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This activity involves testing a hypothesis about a population mean, μ,μ, where σσ, the population standard deviation is unknown. We will test a hypothesis about the number of letters in students' last names. The claim is that the average number of letters in students' last names is less than 7. Assume that the population standard deviation, σ,σ, is not known and that s the sample standard deviation has to be calculated.

students last names:

Flores - 6

Zhang - 5

Vuong - 5

Figueroa - 8

Decide the significance level you are going to use to test.
Determine the mean (average) and the standard deviation of the last names.

Hi my name is
Step 1: Ho: u
Hai 4.
(make sure you put in the appropriate symbols, values and labels)
Step 2: a
Step 3: Critical value(s): ta
%3D
degrees of freedom (n - 1) =
Step 4: Graph, label and shade the critical regions and label the critical values.

Step 5: Test statistic (show all steps) :
t =
Calculate: mean:
standard deviation:
Person's last
X
X2
variance:
name
z:
Step 6: Decision criteria:
reject Ho if trest.
tev
Step 7: Decision
Step 8: Conclusion (write the appropriate conclusion with the
claim):
Totals

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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