Answered: Test the claim that the mean GPA of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

See similar textbooks

Related questions

Topic Video

Question

Test the claim that the mean GPA of Orange Coast students is significantly different than the mean GPA of Coastline students at the 0.02 significance level.

The null and alternative hypothesis would be:

H0:pO≥pCH0:pO≥pC
H1:pO<pCH1:pO<pC

H0:μO≥μCH0:μO≥μC
H1:μO<μCH1:μO<μC

H0:μO≤μCH0:μO≤μC
H1:μO>μCH1:μO>μC

H0:pO≤pCH0:pO≤pC
H1:pO>pCH1:pO>pC

H0:μO=μCH0:μO=μC
H1:μO≠μCH1:μO≠μC

H0:pO=pCH0:pO=pC
H1:pO≠pCH1:pO≠pC

The test is:

right-tailed

left-tailed

two-tailed

The sample consisted of 70 Orange Coast students, with a sample mean GPA of 3.49 and a standard deviation of 0.04, and 70 Coastline students, with a sample mean GPA of 3.51 and a standard deviation of 0.06.

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)

Based on this we:

Reject the null hypothesis
Fail to 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 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.