A nursing school professor is interested in determining how her college students compare to the national average when it comes to the Final Practicum Exam. The exam has a µ = 100 and σ = 20. There has been no evidence to suggest whether those seniors score better or worse than the national average and she is curious as to how her class (N=17) compares. Data Students Exam Score112021003110490513061237101811591111099111051211913128141091598169517102Write the null and alternative hypothesis in statistical form: Determine the mean for the sample: Apply the z-test formula What is your alpha level set to? α Determine the critical value(s) (Zcrit) Label the critical value(s) and indicate the position of the Zobt on the distribution Write the z result in the correct form:

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Description: A nursing school professor is interested in determining how her college students compare to the national average when it comes to the Final Practicum Exam. The exam has a µ = 100 and σ = 20. There has been no evidence to suggest whether those seniors

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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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A nursing school professor is interested in determining how her college students compare to the national average when it comes to the Final Practicum Exam. The exam has a µ = 100 and σ = 20. There has been no evidence to suggest whether those seniors score better or worse than the national average and she is curious as to how her class (N=17) compares.

Data

Students Exam Score

1	120
2	100
3	110
4	90
5	130
6	123
7	101
8	115
9	111
10	99
11	105
12	119
13	128
14	109
15	98
16	95
17	102

Write the null and alternative hypothesis in statistical form:

Determine the mean for the sample:

Apply the z-test formula

What is your alpha level set to? α

Determine the critical value(s) (Zcrit)

Label the critical value(s) and indicate the position of the Zobt on the distribution

Write the z result in the correct form:

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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As the Null Hypothesis is set up for possible rejection, hence

$Null Hypothesis (H_{0}) : μ_{Seniors} = μ_{National average}, i . e there is no difference between the scores of the seniors and the national average Alternative Hypothesis (H_{1}) : μ_{Seniors} \neq μ_{National average} where, μ_{Seniors} is the mean score of seniors from the population, and μ_{Natinal average} is the national average (mean) score .$

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