A psychologist has designed an index to measure the social perspectives of elementary school children. The index is based on ratings of a child’s responses to questions about a set of photographs showing different social situations. The following are the indices measured on a random sample of 16 children attending elementary school in a particular district. 48, 75, 69, 58, 60, 68, 59, 66, 71, 52, 49, 60, 54, 55, 70, 57 For the data the mean index is 60.69 and the standard deviation is 8.26.Perform a statistical test to determine if the population mean index is greater than 50.a) Name of hypothesis test: b) H0: c) HA: d) Test Statistic: e) Rejection region: f) Decision in the context of the problem:

For the given data Find all the required

Answered: A psychologist has designed an index to…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A psychologist has designed an index to measure the social perspectives of elementary school children. The index is based on ratings of a child’s responses to questions about a set of photographs showing different social situations. The following are the indices measured on a random sample of 16 children attending elementary school in a particular district.

48, 75, 69, 58, 60, 68, 59, 66, 71, 52, 49, 60, 54, 55, 70, 57

For the data the mean index is 60.69 and the standard deviation is 8.26.

Perform a statistical test to determine if the population mean index is greater than 50.

a) Name of hypothesis test:

b) H₀:

c) H_A:

d) Test Statistic:

e) Rejection region:

f) Decision in the context of the problem:

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