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Conduct a Full Hypothesis Test and Determine If the Given σ=73\sigma = 73

question 13

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Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level. Round all amounts and standard scores to two decimal places.
-In 1990, the average math SAT score for students at one school was 475. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed. He picks a random sample of 60 students and obtains their mean math SAT score, which is 469. Test whether the claim that the average math SAT score at the school has dropped from 475 is supported or not
Supported. Assume that σ=73\sigma = 73


Definitions:

Money Income

The total amount of monetary earnings from wages, investments, rentals, and other sources before any deductions like taxes or other expenses.

Prices

The amount of money expected, required, or given in payment for something, reflecting the value of goods or services in monetary terms.

Maximum Quantity

The highest amount of a product or service that can be produced or offered under given circumstances.

Price of X

The amount of money required to purchase a unit of product X, often influenced by supply and demand dynamics.

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