Hi, Refering to this image, can you answer the following questions? Create an additional column, D, using as difference D = 2019 scores – 2009 scores. Find the mean, standard deviation, and count for the D scores. Using α = .05, run a two-tail t-test to test H0: µD = 0. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the differences between 2019 and 2009 scores comes from a population with average 0? If this is the case, which year seems to have the largest mean? What is the size of the effect of the difference between 2019 and 2009 scores? Is this a small, medium or large effect? Would you say that the nation improved the Math achievement in Schools during the last 10 years? Nation's Report CardMATH SCORES, 8TH GRADEYear 2019Year 2009DAlabama269269Alaska274283Arizona280277Arkansas274276California276270Colorado285287Connecticut286289Delaware277284District of Columbia269254DODEA292287Florida279279Georgia279278Hawaii275274Idaho286287Illinois283282Indiana286287Iowa282284Kansas282289Kentucky278279Louisiana272272Maine282286Maryland280288Massachusetts294299Michigan280278Minnesota291294Mississippi274265Missouri281286Montana284292Nebraska285284Nevada274274New HampshireNew Jersey287292292293New Mexico269270New York280283North Carolina284284North Dakota286293Ohio286286Oklahoma276276OregonPennsylvania280285285288Puerto Rico222221Rhode Island276278South Carolina276280South Dakota287291Tennessee280275Texas280287Utah285284Vermont287293VirginiaWashingtonWest Virginia287286286289272270Wisconsin289288Wyoming286286

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Answered: Create an additional column, D, using…

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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Hi, Refering to this image, can you answer the following questions?

Create an additional column, D, using as difference D = 2019 scores – 2009 scores. Find the mean, standard deviation, and count for the D scores.

Using α = .05, run a two-tail t-test to test H0: µ_D = 0. Report the t-obt, df, and p-values.

Would you reject the null hypothesis that the differences between 2019 and 2009 scores comes from a population with average 0? If this is the case, which year seems to have the largest mean?

What is the size of the effect of the difference between 2019 and 2009 scores? Is this a small, medium or large effect?

Would you say that the nation improved the Math achievement in Schools during the last 10 years?

Nation's Report Card
MATH SCORES, 8TH GRADE
Year 2019
Year 2009
D
Alabama
269
269
Alaska
274
283
Arizona
280
277
Arkansas
274
276
California
276
270
Colorado
285
287
Connecticut
286
289
Delaware
277
284
District of Columbia
269
254
DODEA
292
287
Florida
279
279
Georgia
279
278
Hawaii
275
274
Idaho
286
287
Illinois
283
282
Indiana
286
287
Iowa
282
284
Kansas
282
289
Kentucky
278
279
Louisiana
272
272
Maine
282
286
Maryland
280
288
Massachusetts
294
299
Michigan
280
278
Minnesota
291
294
Mississippi
274
265
Missouri
281
286
Montana
284
292
Nebraska
285
284
Nevada
274
274
New Hampshire
New Jersey
287
292
292
293
New Mexico
269
270
New York
280
283
North Carolina
284
284
North Dakota
286
293
Ohio
286
286
Oklahoma
276
276
Oregon
Pennsylvania
280
285
285
288
Puerto Rico
222
221
Rhode Island
276
278
South Carolina
276
280
South Dakota
287
291
Tennessee
280
275
Texas
280
287
Utah
285
284
Vermont
287
293
Virginia
Washington
West Virginia
287
286
286
289
272
270
Wisconsin
289
288
Wyoming
286
286

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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