I need the test statisic, the p value, and the construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. Thank you A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples areindependent simple random samples selected from normally distributed populations, and do not assume that the population standarddeviations are equal. Complete parts (a) and (b) below.A. Ho: M₁ μ₂H₁: H₁ H₂C. Ho: M₁ = ₂H₁ H₁

Given, A study was done on proctored and nonproctored tests. Assume that the two samples are…

Answered: A study was done on proctored and…

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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I need the test statisic, the p value, and the construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. Thank you

A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are
independent simple random samples selected from normally distributed populations, and do not assume that the population standard
deviations are equal. Complete parts (a) and (b) below.
A. Ho: M₁ μ₂
H₁: H₁ H₂
C. Ho: M₁ = ₂
H₁ H₁ <H₂
The test statistic, t, is
a. Use a 0.05 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
What are the null and alternative hypotheses?
(Round to two decimal places as needed.)
B. Ho: M₁ = ₂
H₁: H₁ H₂
μ
n
D. H₁: M₁ = ₂
H₁: H₁
H₂
in X5
Proctored Nonproctored
H₁
H₂
32
34
78.75
82.72
19.05
S 10.34

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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