For college-bound seniors in 2018, SAT math scores are normally distributed with a mean of 515 and a standard deviation of 116. You suspect that seniors in the Auraria Campus are much brighter than the country as a whole, so you decide to conduct a test. In a random sample of 25 seniors, you find the mean SAT math score to be 555. You assume that the standard deviation of math scores in Auraria Campus are the same as the national standard deviation of 116. Is this sufficient evidence to conclude that Auraria Campus seniors are smarter? Take a -0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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For college-bound seniors in 2018, SAT math scores are normally distributed with a mean of 515
and a standard deviation of 116. You suspect that seniors in the Auraria Campus are much brighter than the
country as a whole, so you decide to conduct a test. In a random sample of 25 seniors, you find the mean SAT
math score to be 555. You assume that the standard deviation of math scores in Auraria Campus are the same
as the national standard deviation of a = 116. Is this sufficient evidence to conclude that Auraria Campus
seniors are smarter? Take a -0.05.
Transcribed Image Text:For college-bound seniors in 2018, SAT math scores are normally distributed with a mean of 515 and a standard deviation of 116. You suspect that seniors in the Auraria Campus are much brighter than the country as a whole, so you decide to conduct a test. In a random sample of 25 seniors, you find the mean SAT math score to be 555. You assume that the standard deviation of math scores in Auraria Campus are the same as the national standard deviation of a = 116. Is this sufficient evidence to conclude that Auraria Campus seniors are smarter? Take a -0.05.
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