A statistics teacher predicts that the distribution of grades on the final exam will be 25% A's, 30% B's, 35% C's, and 10% D's.    The actual distribution of grades on the final exam for 20 students is as follows.   Using a 0.05 level of significance, is the statistics teacher's prediction correct?  Grade Number of Students  A 7 B 7 C 5 D 1

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
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SCENARIO 6

A statistics teacher predicts that the distribution of grades on the final exam will be 25% A's, 30% B's, 35% C's, and 10% D's.    The actual distribution of grades on the final exam for 20 students is as follows.   Using a 0.05 level of significance, is the statistics teacher's prediction correct? 

Grade Number of Students 
A 7
B 7
C 5
D 1

 

 

Question 38 

 
 
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Which test are you running? 

 
Question 38 options:
 

Chi-square Goodness of Fit

 

One mean t-test

 

ANOVA

 

One mean z-test

 

Question 39 

 
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What is the null hypothesis? 

 
Question 39 options:
 

Ho:   The teacher's grade distribution fits the stated distribution:   25% A's, 30% B's, 35% C's, and 10% D's

 

Ho:   The teacher's grade distribution does not fits the stated distribution:   25% A's, 30% B's, 35% C's, and 10% D's

 

Question 40 

 
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What is the alternative hypothesis? 

 
Question 40 options:
 

Ha:   The teacher's grade distribution fits the stated distribution:   25% A's, 30% B's, 35% C's, and 10% D's

 

Ha:   The teacher's grade distribution does not fit the stated distribution:   25% A's, 30% B's, 35% C's, and 10% D's

 

Question 41 

 
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What is the test statistic?  Round the answer to two decimal places. 

 

 
Question 41 options:
 
 

Question 42 

 
 
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What is the p-value?  Round the answer to three decimal places. 

 

 
Question 42 options:
 
 

Question 43 

 
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What is the conclusion when you compare the p-value and the level of significance (alpha)?

 
Question 43 options:
 

Reject the null hypothesis

 

Fail to reject the null hypothesis

 

Question 44 

 
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What is the conclusion based on the original claim? 

 
Question 44 options:
 

At the 0.05 level of significance,  the teacher's grade distribution fits the stated distribution:   25% A's, 30% B's, 35% C's, and 10% D's

 

At the 0.05 level of significance, the teacher's grade distribution  does not fit the stated distribution:   25% A's, 30% B's, 35% C's, and 10% D's

 
 
 
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