Perform the Indicated Sign Test $$\alpha = 0.05$$ $$\begin{array} { l l l l l l l l l l } 15.8 & 13.6 & 19.8 & 14.9 & 18 & 20.2 & 23.3 & 17.9 & 12.7 & 19\end{array}$$

question 18

Essay

Perform the indicated sign test. Be sure to do the following: Identify the claim mathematically and state the null and
alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to reject
the null hypothesis and interpret the decision in the context of the original claim.
-A car dealer claims that its new model car still gets at least 21 miles per gallon of gas. Ten cars are tested. The
results are given below. Test the dealerʹs claim. Use $$\alpha = 0.05$$ $$\begin{array} { l l l l l l l l l l } 15.8 & 13.6 & 19.8 & 14.9 & 18 & 20.2 & 23.3 & 17.9 & 12.7 & 19\end{array}$$

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Definitions:

Intellectual Potential

The capacity or ability of an individual to think, reason, and understand at a high level, typically seen as a measure of future intellectual development or achievement.

Heredity

The inheritance of physical or mental qualities through genes from ancestors to descendants.

Flynn Effect

The observed rise over time in standardized intelligence test scores, theorized to be caused by various factors such as improved nutrition and education.

IQ Tests

Set exams designed to quantify cognitive skills and the intelligence of individuals.