ReportOneway Analysis of GPA By SchoolOneway Analysis of GPA By School4.5Oneway Anova43.5Summary of Fit3-Rsquare0.0927580.068884Adj RsquareRoot Mean Square ErrorMean of ResponseObservations (or Sum Wgts)GPA 250.6078822.84752-401.5t Test1-B-AAssuming equal variances0.50.43500 t Ratio0.22069 DFProb > It|Difference1.971SchoolStd Err DifUpper CL Dif 0.807070.0Lower CL Dif 0.06293 Prob >t0.0:Pooled t TestConfidence0.9 Prob It|Difference1.971093B20 3.065000.15605Std Err Dif38Std Error uses a pooled estimate of error varUpper CL Dif0.0560Lower CL Dif -0.01176 Prob >t0.0280*t TestConfidence0.95 Prob JE0.057Source DF Sum of Squares Mean Square F Ratio Prob > FLower CL Dif 0.06053 Prob > t0.0290School11.8922501.89225 3.88520.0580Confidence0.9 Prob It|美人Difference1.971093Std Err Dif30.23849Upper CL Dif0.0579Lower CL Dif -0.01556 Prob >t0.0290*0.95 Prob O (a)What is the mean difference in GPAS between the two schools? (Use u, - u,, where u, is School A and u, is School B. Round your answer to three decimalplaces.)Which school has the higher average GPA?O school AO School BO not enough informationB (b)The school district is interested in seeing if the average GPA in School B is significantly larger than the average GPA in School A. Find the correct hypotheses.O Ho: Hq> HzO Hoi Hq = HzO Hoi Hq = HzO Hoi Hq> Hze (c)For a = 0.05, find the correct t-statistic, critical value, and p-value for testing the hypotheses. (Round your answers to three decimal places.)t-statisticcritical valuep-valueO (d)Fill in the blanks.The null hypothesis should --Select--. The mean GPA at School B ---Select-- V significantly ---Select--- v than the mean GPA at School A.You may need to use the appropriate table in the Appendix of Tables to answer this question.

Name: ReportOneway Analysis of GPA By SchoolOneway Analysis of GPA By Schoo
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Description: ReportOneway Analysis of GPA By SchoolOneway Analysis of GPA By School4.5Oneway Anova43.5Summary of Fit3-Rsquare0.0927580.068884Adj RsquareRoot Mean Square ErrorMean of ResponseObservations (or Sum Wgts)GPA 250.6078822.84752-401.5t Test1-B-AAssuming

All the following results are given based on the given output. a). The mean difference is 0.435…

Math

Statistics

B (a) What is the mean difference in GPAS between the two schools? (Use u, - H, where u, is School A and u, is School B. Round your answer to three decimal places.) Which school has the higher average GPA? O school A O school B not enough information B (b) The school district is interested in seeing if the average GPA in School B is significantly larger than the average GPA in School A. Find the correct hypotheses. O Hoi Hy> Hz O Hoi Hq = Hz O Hoi Hq = Hz HA: Hy > H2 O Hoi Hy> Hz O (c) For a = 0.05, find the correct t-statistic, critical value, and p-value for testing the hypotheses. (Round your answers to three decimal places.) t-statistic critical value p-value B (d) Fill in the blanks. The null hypothesis should -Select-- The mean GPA at School B-Select-- V significantly --Select--v than the mean GPA at School A. ou may need to use the appropriate table in the Appendix of Tables to answer this question.

B (a) What is the mean difference in GPAS between the two schools? (Use u, - H, where u, is School A and u, is School B. Round your answer to three decimal places.) Which school has the higher average GPA? O school A O school B not enough information B (b) The school district is interested in seeing if the average GPA in School B is significantly larger than the average GPA in School A. Find the correct hypotheses. O Hoi Hy> Hz O Hoi Hq = Hz O Hoi Hq = Hz HA: Hy > H2 O Hoi Hy> Hz O (c) For a = 0.05, find the correct t-statistic, critical value, and p-value for testing the hypotheses. (Round your answers to three decimal places.) t-statistic critical value p-value B (d) Fill in the blanks. The null hypothesis should -Select-- The mean GPA at School B-Select-- V significantly --Select--v than the mean GPA at School A. ou may need to use the appropriate table in the Appendix of Tables to answer this question.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

Report
Oneway Analysis of GPA By School
Oneway Analysis of GPA By School
4.5
Oneway Anova
4
3.5
Summary of Fit
3-
Rsquare
0.092758
0.068884
Adj Rsquare
Root Mean Square Error
Mean of Response
Observations (or Sum Wgts)
GPA 25
0.607882
2.8475
2-
40
1.5
t Test
1-
B-A
Assuming equal variances
0.5
0.43500 t Ratio
0.22069 DF
Prob > It|
Difference
1.971
School
Std Err Dif
Upper CL Dif 0.80707
0.0
Lower CL Dif 0.06293 Prob >t
0.0:
Pooled t Test
Confidence
0.9 Prob <t
0.€
Summary of Fit
Analysis of Variance
Rsquare
0.092758
Source DF Sum of Squares Mean Sq
Adj Rsquare
Root Mean Square Error
Mean of Response
Observations (or Sum Wgts)
0.068884
0.697882
School
1
1.892250
1.86
Error
38
18.507500
0.48
2.8475
40
C. Total
39
20.399750
t Test
Means for Oneway Anova
B-A
Level Number
Mean Std Error Lon
Assuming equal variances
A
20 2.63000
0.15805
0.43500 t Ratio
0.22069 DF
0.88176 Prob > It|
Difference
1.971093
B
20 3.06500
0.15605
Std Err Dif
38
Std Error uses a pooled estimate of error var
Upper CL Dif
0.0560
Lower CL Dif -0.01176 Prob >t
0.0280*
t Test
Confidence
0.95 Prob <t
0.9720
0.0 02 04 06 08
-0.8
-04
B-A
Assuming unequal variances
0.43500 t Ratio
0.22069 DF
Difference
1.9710G
Analysis of Variance
Std Err Dif
30.2384
Upper CL Dif O0.80947 Prob > JE
0.057
Source DF Sum of Squares Mean Square F Ratio Prob > F
Lower CL Dif 0.06053 Prob > t
0.0290
School
1
1.892250
1.89225 3.8852
0.0580
Confidence
0.9 Prob <t
0.971
Error
38
18.507500
0.48704
C. Total
39
20.399750
Means for Oneway Anova
Level Number
Mean Std Error Lower 95% Upper 95%
A
20 2.63000
0.15805
2.3141
2.9450
20 3.06500
0.15805
2.7491
3.3809
Std Error uses a pooled estimate of error variance
t Test
В-А
Assuming unequal variances
0.43500 t Ratio
0.22069 DF
0.88550 Prob > It|
美人
Difference
1.971093
Std Err Dif
30.23849
Upper CL Dif
0.0579
Lower CL Dif -0.01556 Prob >t
0.0290*
0.95 Prob <t
0.0 02 04 06 08
Confidence
0.9710
-0.8
-04
II

O (a)
What is the mean difference in GPAS between the two schools? (Use u, - u,, where u, is School A and u, is School B. Round your answer to three decimal
places.)
Which school has the higher average GPA?
O school A
O School B
O not enough information
B (b)
The school district is interested in seeing if the average GPA in School B is significantly larger than the average GPA in School A. Find the correct hypotheses.
O Ho: Hq> Hz
O Hoi Hq = Hz
O Hoi Hq = Hz
O Hoi Hq> Hz
e (c)
For a = 0.05, find the correct t-statistic, critical value, and p-value for testing the hypotheses. (Round your answers to three decimal places.)
t-statistic
critical value
p-value
O (d)
Fill in the blanks.
The null hypothesis should --Select--
. The mean GPA at School B ---Select-- V significantly ---Select--- v than the mean GPA at School A.
You may need to use the appropriate table in the Appendix of Tables to answer this question.

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