Test the claim that the mean GPA of night students is larger than 3.1 at the 0.10 significance level.The null and alternative hypothesis would be: H0:p=0.775H0:p=0.775H1:p≠0.775H1:p≠0.775H0:p=0.775H0:p=0.775H1:p>0.775H1:p>0.775H0:μ=3.1H0:μ=3.1H1:μ>3.1H1:μ>3.1H0:μ=3.1H0:μ=3.1H1:μ<3.1H1:μ<3.1H0:p=0.775H0:p=0.775H1:p<0.775H1:p<0.775H0:μ=3.1H0:μ=3.1H1:μ≠3.1H1:μ≠3.1The test is: right-tailedtwo-tailedleft-tailedBased on a sample of 75 people, the sample mean GPA was 3.14 with a standard deviation of 0.03The test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this wefail to reject the null hypothesis.reject the null hypothesis.

Given data : sample size, n = 75 sample mean, x̄ = 3.14 sample standard…

Answered: Test the claim that the mean GPA of…

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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Test the claim that the mean GPA of night students is larger than 3.1 at the 0.10 significance level.

The null and alternative hypothesis would be:

H0:p=0.775H0:p=0.775
H1:p≠0.775H1:p≠0.775
H0:p=0.775H0:p=0.775
H1:p>0.775H1:p>0.775
H0:μ=3.1H0:μ=3.1
H1:μ>3.1H1:μ>3.1

H0:μ=3.1H0:μ=3.1
H1:μ<3.1H1:μ<3.1
H0:p=0.775H0:p=0.775
H1:p<0.775H1:p<0.775
H0:μ=3.1H0:μ=3.1
H1:μ≠3.1H1:μ≠3.1

The test is:

right-tailed
two-tailed
left-tailed

Based on a sample of 75 people, the sample mean GPA was 3.14 with a standard deviation of 0.03

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)

Based on this we

fail to reject the null hypothesis.
reject the null hypothesis.

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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