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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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
Transcribed Image Text: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.
Transcribed Image Text: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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