Q: Using the data (provided below this question) test the hypotheses that the mean difference in writing and reading scores is zero and that the mean difference in math and science scores is zero. Use the paired-sample procedure.Use a 5% significance level if the problem doesn’t give an alpha.Note: Please only provide the t stat, p(T<=t) value and critical value. No need to explain the steps.School DistrictWritingReadingMathCitizenshipScienceAllIndian Hill959889959183Wyoming989686938781Mason City969285948672Madiera949588828869Mariemont999274898868Sycamore858880878468Forest Hills939173858867Kings Local928678827864Lakota908873858164Loveland859372868661Southwest928273787358Fairf ield908671837757Oak Hills888675777957Three Rivers878566847756Milford828672827653Ross848566757852West Clermont888363737048Reading888058767546Princeton837559766346Finneytown797161676245Norwood867764756744Lockland887952826441Franklin City857949706740Winton Woods827755655940Northwest757451626138North College Hill777650665735Mount Healthy877240625332Felicity Franklin526452816428St. Bernard815940414826Deer Park696640435225Cincinnati Public635935504423 State Averages797960726846

Name: Q: Using the data (provided below this question) test the hypotheses t
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Description: Q: Using the data (provided below this question) test the hypotheses that the mean difference in writing and reading scores is zero and that the mean difference in math and science scores is zero. Use the paired-sample procedure.Use a 5% significance

In this case, it is appropriate to apply paired t test. Using EXCEL, the paired t-test is applied.…

Answered: Using the data (provided below this…

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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Q: Using the data (provided below this question) test the hypotheses that the mean difference in writing and reading scores is zero and that the mean difference in math and science scores is zero. Use the paired-sample procedure.

Use a 5% significance level if the problem doesn’t give an alpha.

Note: Please only provide the t stat, p(T<=t) value and critical value. No need to explain the steps.

School District	Writing	Reading	Math	Citizenship	Science	All
Indian Hill	95	98	89	95	91	83
Wyoming	98	96	86	93	87	81
Mason City	96	92	85	94	86	72
Madiera	94	95	88	82	88	69
Mariemont	99	92	74	89	88	68
Sycamore	85	88	80	87	84	68
Forest Hills	93	91	73	85	88	67
Kings Local	92	86	78	82	78	64
Lakota	90	88	73	85	81	64
Loveland	85	93	72	86	86	61
Southwest	92	82	73	78	73	58
Fairf ield	90	86	71	83	77	57
Oak Hills	88	86	75	77	79	57
Three Rivers	87	85	66	84	77	56
Milford	82	86	72	82	76	53
Ross	84	85	66	75	78	52
West Clermont	88	83	63	73	70	48
Reading	88	80	58	76	75	46
Princeton	83	75	59	76	63	46
Finneytown	79	71	61	67	62	45
Norwood	86	77	64	75	67	44
Lockland	88	79	52	82	64	41
Franklin City	85	79	49	70	67	40
Winton Woods	82	77	55	65	59	40
Northwest	75	74	51	62	61	38
North College Hill	77	76	50	66	57	35
Mount Healthy	87	72	40	62	53	32
Felicity Franklin	52	64	52	81	64	28
St. Bernard	81	59	40	41	48	26
Deer Park	69	66	40	43	52	25
Cincinnati Public	63	59	35	50	44	23

State Averages	79	79	60	72	68	46

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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