An instructor wanted to know if his students are better at math or writing. He had students take both a math and then a writing test and he compared the results using SPSS. He found the following results:( Look at graph) c. Are the results significant?d. What do the results mean? (i.e. last part of interpretation) Paired Samples StatisticsStd. ErrorMeanMeanNStd. DeviationPair 1write writing score52.77502009.47859.67024read reading score52.230020010.25294.72499Paired Samples CorrelationsCorrelationSig.Pair 1write writing score & readreading score200.597.000Paired Samples TestPaired Differences95% Confidence Interval of theDifferenceStd. ErrorMeanMeanStd. DeviationLowerUpperdfSig. (2-tailed)Pair 1.write writing score - readreading score.545008.88667.62838-.694141.78414.867199.387

c) Here, In the SPSS output, it can be seen that the P-value is equal to 0.387. The significance…

Answered: An instructor wanted to know if his…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

An instructor wanted to know if his students are better at math or writing. He had students take both a math and then a writing test and he compared the results using SPSS. He found the following results:

( Look at graph)

c. Are the results significant?
d. What do the results mean? (i.e. last part of interpretation)

Paired Samples Statistics
Std. Error
Mean
Mean
N
Std. Deviation
Pair 1
write writing score
52.7750
200
9.47859
.67024
read reading score
52.2300
200
10.25294
.72499
Paired Samples Correlations
Correlation
Sig.
Pair 1
write writing score & read
reading score
200
.597
.000
Paired Samples Test
Paired Differences
95% Confidence Interval of the
Difference
Std. Error
Mean
Mean
Std. Deviation
Lower
Upper
df
Sig. (2-tailed)
Pair 1.
write writing score - read
reading score
.54500
8.88667
.62838
-.69414
1.78414
.867
199
.387

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

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Paths and Circuits$

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.

Similar questions