Test Hypotheses About a Population Proportion
-It Has Been Estimated $1991 \mathrm { G }$

question 132

Short Answer

Test Hypotheses about a Population Proportion
-It has been estimated that the $1991 \mathrm { G }$ -car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds this estimate in highway driving. To support its assertion, the company randomly selects $361991 \mathrm { G }$ -cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: $\bar { x } = 36.5$ miles per gallon, $\mathrm { s } = 6$ miles per gallon. Calculate the value of $\beta$ if the true value of the mean is really 37 miles per gallon. Use $\alpha = 0.025$ .

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Definitions:

Phenylketonuria

A genetic disorder characterized by the inability of the body to break down the amino acid phenylalanine, leading to potential brain damage and other health issues.

Intellectual Disability

A term used for significant limitations in intellectual functioning and adaptive behavior, manifesting before the age of 18.

Special Diet

A diet designed to meet specific health needs or goals, often involving restrictions or adjustments in food choices.

Niche Construction

The active shaping and modification of individuals’ environments by the individuals’ own behaviors, activities, and choices.