The economic dynamism, which is the index of productive growth in dollars for a sample of countries that are designated by the World Bank as middle-income are in the table below. Countries that are considered high-income have a mean economic dynamism of 60.29. Do the data show that the mean economic dynamism of middle-income countries is lower the mean for high-income countries? Test at the 10% economic dynamism 50.1365 45.0637 35.5903 35.1009 40.3899 46.818 52.0693 37.1991 37.4476 40.9017 51.7051 33.5756 37.044 38.3819 44.93 44.2932 36.5082 36.3388 55.4553 35.5646 44.1668 46.4361 47.9566 61.6987 P: Parameter What is the correct parameter symbol for this problem? What is the wording of the parameter in the context of this problem? H: Hypotheses Fill in the correct null and alternative hypotheses: H0:H0: HA:HA: A: Assumptions Since information was collected from each object, what conditions do we need to check? Check all that apply. n≥30n≥30 or normal population np≥10np≥10 outliers in the data n(pˆ)≥10n(p̂)≥10 no outliers in the data n(1−p)≥10n(1-p)≥10 N≥20nN≥20n σσ is unknown n(1−pˆ)≥10n(1-p̂)≥10 σσ is known Check those assumptions: 1. Is the value of σσ known? 2. Given the following modified boxplot (If using a screenreader, use technology to generate the modified boxplot and answer the question below.): 3035404550556065economic dynamism33.575636.776142.5342547.387361.6987[Graphs generated by this script: setBorder(15); initPicture(30,65,-3,6);axes(5,100,1,null,null,1,'off');text([44.06155,-3],"economic dynamism");line([33.5756,2],[33.5756,4]); rect([36.7761,2],[47.3873,4]); line([42.53425,2],[42.53425,4]);line([61.6987,2],[61.6987,4]); line([33.5756,3],[36.7761,3]); line([47.3873,3],[61.6987,3]);fontsize*=.8;fontfill='blue';text([33.5756,4],'33.5756','above');text([36.7761,4],'36.7761','above');text([42.53425,4],'42.53425','above');text([47.3873,4],'47.3873','above');text([61.6987,4],'61.6987','above');fontfill='black';fontsize*=1.25;] Are there any outliers? 3. nn = which is Is it reasonable to assume the population is normally distributed? N: Name the test The conditions are met to use a . T: Test Statistic The symbol and value of the random variable on this problem are as follows: = The test statistic formula set up with numbers is as follows: Round values to 6 decimal places. t=¯¯¯X−μs√n=t=X¯-μsn= (((( −- )) // /√/ )))) The final answer for the test statistic from technology is as follows: Round to 2 decimal places. t = O: Obtain the P-value Report the final answer to 4 decimal places. It is possible when rounded that a p-value is 0.0000 P-value = M: Make a decision Since the p-value , we . S: State a conclustion There significant evidence to conclude

The economic dynamism, which is the index of productive growth in dollars for a sample of countries that are designated by the World Bank as middle-income are in the table below. Countries that are considered high-income have a mean economic dynamism of 60.29. Do the data show that the mean economic dynamism of middle-income countries is lower the mean for high-income countries? Test at the 10% economic dynamism 50.1365 45.0637 35.5903 35.1009 40.3899 46.818 52.0693 37.1991 37.4476 40.9017 51.7051 33.5756 37.044 38.3819 44.93 44.2932 36.5082 36.3388 55.4553 35.5646 44.1668 46.4361 47.9566 61.6987 P: Parameter What is the correct parameter symbol for this problem? What is the wording of the parameter in the context of this problem? H: Hypotheses Fill in the correct null and alternative hypotheses: H0:H0: HA:HA: A: Assumptions Since information was collected from each object, what conditions do we need to check? Check all that apply. n≥30n≥30 or normal population np≥10np≥10 outliers in the data n(pˆ)≥10n(p̂)≥10 no outliers in the data n(1−p)≥10n(1-p)≥10 N≥20nN≥20n σσ is unknown n(1−pˆ)≥10n(1-p̂)≥10 σσ is known Check those assumptions: 1. Is the value of σσ known? 2. Given the following modified boxplot (If using a screenreader, use technology to generate the modified boxplot and answer the question below.): 3035404550556065economic dynamism33.575636.776142.5342547.387361.6987[Graphs generated by this script: setBorder(15); initPicture(30,65,-3,6);axes(5,100,1,null,null,1,'off');text([44.06155,-3],"economic dynamism");line([33.5756,2],[33.5756,4]); rect([36.7761,2],[47.3873,4]); line([42.53425,2],[42.53425,4]);line([61.6987,2],[61.6987,4]); line([33.5756,3],[36.7761,3]); line([47.3873,3],[61.6987,3]);fontsize=.8;fontfill='blue';text([33.5756,4],'33.5756','above');text([36.7761,4],'36.7761','above');text([42.53425,4],'42.53425','above');text([47.3873,4],'47.3873','above');text([61.6987,4],'61.6987','above');fontfill='black';fontsize=1.25;] Are there any outliers? 3. nn = which is Is it reasonable to assume the population is normally distributed? N: Name the test The conditions are met to use a . T: Test Statistic The symbol and value of the random variable on this problem are as follows: = The test statistic formula set up with numbers is as follows: Round values to 6 decimal places. t=¯¯¯X−μs√n=t=X¯-μsn= (((( −- )) // /√/ )))) The final answer for the test statistic from technology is as follows: Round to 2 decimal places. t = O: Obtain the P-value Report the final answer to 4 decimal places. It is possible when rounded that a p-value is 0.0000 P-value = M: Make a decision Since the p-value , we . S: State a conclustion There significant evidence to conclude

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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Question

economic dynamism
50.1365
45.0637
35.5903
35.1009
40.3899
46.818
52.0693
37.1991
37.4476
40.9017
51.7051
33.5756
37.044
38.3819
44.93
44.2932
36.5082
36.3388
55.4553
35.5646
44.1668
46.4361
47.9566
61.6987

P: Parameter

What is the correct parameter symbol for this problem?



     What is the wording of the parameter in the context of this problem?



H: Hypotheses

Fill in the correct null and alternative hypotheses:

H0:H0:

HA:HA:

A: Assumptions

Since information was collected from each object, what conditions do we need to check?

Check all that apply.

n≥30n≥30 or normal population
np≥10np≥10
outliers in the data
n(pˆ)≥10n(p̂)≥10
no outliers in the data
n(1−p)≥10n(1-p)≥10
N≥20nN≥20n
σσ is unknown
n(1−pˆ)≥10n(1-p̂)≥10
σσ is known

Check those assumptions:

1. Is the value of σσ known?

2. Given the following modified boxplot (If using a screenreader, use technology to generate the modified boxplot and answer the question below.):

3035404550556065economic dynamism33.575636.776142.5342547.387361.6987[Graphs generated by this script: setBorder(15); initPicture(30,65,-3,6);axes(5,100,1,null,null,1,'off');text([44.06155,-3],"economic dynamism");line([33.5756,2],[33.5756,4]); rect([36.7761,2],[47.3873,4]); line([42.53425,2],[42.53425,4]);line([61.6987,2],[61.6987,4]); line([33.5756,3],[36.7761,3]); line([47.3873,3],[61.6987,3]);fontsize*=.8;fontfill='blue';text([33.5756,4],'33.5756','above');text([36.7761,4],'36.7761','above');text([42.53425,4],'42.53425','above');text([47.3873,4],'47.3873','above');text([61.6987,4],'61.6987','above');fontfill='black';fontsize*=1.25;]

Are there any outliers?

3. nn = which is

Is it reasonable to assume the population is normally distributed?

N: Name the test

The conditions are met to use a .

T: Test Statistic

The symbol and value of the random variable on this problem are as follows:

=

The test statistic formula set up with numbers is as follows:

Round values to 6 decimal places.

t=¯¯¯X−μs√n=t=X¯-μsn=

(((( −- )) // /√/ ))))

The final answer for the test statistic from technology is as follows:

Round to 2 decimal places.

t =

O: Obtain the P-value

Report the final answer to 4 decimal places.

It is possible when rounded that a p-value is 0.0000

P-value =

M: Make a decision

Since the p-value , we .

S: State a conclustion

There significant evidence to conclude

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Check AnswerQuestion 3

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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