state 1 is 50 and for state 2 is 60.Is this difference significant or just by chance? Use significance level α =.05  a) Which Hypothesis test will you use in this situation? b) Set up the Null and Alternate Hypothesis c) Find the test statistics for this test. What is your conclusion given the test statistics? d) Find the observed significance p-value for this test. e) What is your conclusion given the p-value? f) Create an appropriate curve to show the observed significance in context to the significance level.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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The SAT scores of two states were compared to see if there was a significantly different. The average
SAT score for State 1 was 520 and average score for State 2 was 510. SD for State 1 was 10 units and
SD for State 2 was 12 units. The sample size for state 1 is 50 and for state 2 is 60.Is this difference
significant or just by chance? Use significance level α =.05 

a) Which Hypothesis test will you use in this situation?
b) Set up the Null and Alternate Hypothesis
c) Find the test statistics for this test. What is your conclusion given the test statistics?
d) Find the observed significance p-value for this test.
e) What is your conclusion given the p-value?
f) Create an appropriate curve to show the observed significance in context to the significance level.
Mark the test and critical statistics

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