A Test Is Made Of $H _ { 0 } : \mu = 60$

question 88

Multiple Choice

A test is made of $H _ { 0 } : \mu = 60$ versus $H _ { 1 } : \mu > 60$ . A sample of size $n = 77$ is drawn, and $\bar { x } = 64$ . The population standard deviation is $\sigma = 23$ . Compute the value of the test statistic $z$ and determine if $H _ { 0 }$ is rejected at the $\alpha = 0.05$ level.

• A) \(1.53 , H _ { 0 }\) not rejected
• B) \(0.17 , H _ { 0 }\) not rejected
• C) \(1.53 , H _ { 0 }\) rejected
• D) \(0.17 , H _ { 0 }\) rejected

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Definitions:

Intelligence Scores

Quantitative measures obtained from cognitive tests that aim to assess an individual's intellectual abilities compared to the general population.

Variability

The degree to which scores in a set of data are spread out or dispersed, indicating the diversity or difference in a group of observations.

Heritability

a statistic that indicates what proportion of the variation in a trait within a population can be attributed to genetic differences among individuals.

IQ Scores

Standardized measurements of a person's cognitive abilities and potential in comparison to a population.