A simple random sample of 12 students took a class designed to improve their SAT scores. Following are their scores before and after the class. Before 972 988 992 998 998 998 1000 1050 1050 1050 1080 1120 After 990 1003 1016 1015 1010 1012 1021 1069 1067 1075 1100 1141 Can you conclude that the mean increase in score is less than 15 points? If we let: Let μ1 be the population mean SAT scores before the coaching class, and μ2 be the population mean SAT scores after the coaching class. Let μd be the population mean difference of SAT scores after and before the coaching class, i.e. μ2 - μ1 Round to three decimal places if necessary. a) Use "mu1" for μ1 , "mu2" for μ2, and "mu.d " for μd . Null hypothesis H0 : Alternate hypothesis H1 : b) Type of test: left or right or two c) significance level: α = d) Test statistic: Clear state whether test statistic in this claim is z or t. For example, "z=1.2345" e) Compute p-value of the test statistic. f) Decision: . Type "yes" if reject null hypothesis. Type "no" if not to reject null hypothesis.
A simple random sample of 12 students took a class designed to improve their SAT scores. Following are their scores before and after the class. Before 972 988 992 998 998 998 1000 1050 1050 1050 1080 1120 After 990 1003 1016 1015 1010 1012 1021 1069 1067 1075 1100 1141 Can you conclude that the mean increase in score is less than 15 points? If we let: Let μ1 be the population mean SAT scores before the coaching class, and μ2 be the population mean SAT scores after the coaching class. Let μd be the population mean difference of SAT scores after and before the coaching class, i.e. μ2 - μ1 Round to three decimal places if necessary. a) Use "mu1" for μ1 , "mu2" for μ2, and "mu.d " for μd . Null hypothesis H0 : Alternate hypothesis H1 : b) Type of test: left or right or two c) significance level: α = d) Test statistic: Clear state whether test statistic in this claim is z or t. For example, "z=1.2345" e) Compute p-value of the test statistic. f) Decision: . Type "yes" if reject null hypothesis. Type "no" if not to reject null hypothesis.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A simple random sample of 12 students took a class designed to improve their SAT scores. Following are their scores before and after the class.
| Before | 972 | 988 | 992 | 998 | 998 | 998 | 1000 | 1050 | 1050 | 1050 | 1080 | 1120 |
| After | 990 | 1003 | 1016 | 1015 | 1010 | 1012 | 1021 | 1069 | 1067 | 1075 | 1100 | 1141 |
Can you conclude that the mean increase in score is less than 15 points?
If we let:
Let μ1 be the population mean SAT scores before the coaching class, and μ2 be the population mean SAT scores after the coaching class.
Let μd be the population mean difference of SAT scores after and before the coaching class, i.e. μ2 - μ1
Round to three decimal places if necessary.
a) Use "mu1" for μ1 , "mu2" for μ2, and "mu.d " for μd .
Null hypothesis H0 :
Alternate hypothesis H1 :
b) Type of test: left or right or two
c) significance level: α =
d) Test statistic:
Clear state whether test statistic in this claim is z or t. For example, "z=1.2345"
e) Compute p-value of the test statistic.
f) Decision: . Type "yes" if reject null hypothesis. Type "no" if not to reject null hypothesis.
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