4.
Hypothesis Test for Two Populations including
To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are in the accompanying table.
|
Student |
Exam Score Before Course |
Exam Score After Course |
Difference = After - Before |
|
1 |
530 |
670 |
140 |
|
2 |
690 |
770 |
80 |
|
3 |
910 |
1,000 |
90 |
|
4 |
700 |
710 |
10 |
|
5 |
450 |
550 |
100 |
|
6 |
820 |
870 |
50 |
|
7 |
820 |
770 |
?? |
|
8 |
630 |
610 |
?? |
What is the value of the sample mean difference ( d-bar ) if the
difference scores reflect the results of the exam after the course
minus the results of the exam before the course?
Group of answer choices
a. 50
b. 68
c. 400
d. 0
Solution :
From given that ,
|
Student |
Exam Score Before Course |
Exam Score After Course |
Difference = After - Before |
|
1 |
530 |
670 |
140 |
|
2 |
690 |
770 |
80 |
|
3 |
910 |
1,000 |
90 |
|
4 |
700 |
710 |
10 |
|
5 |
450 |
550 |
100 |
|
6 |
820 |
870 |
50 |
|
7 |
820 |
770 |
-50 |
|
8 |
630 |
610 |
-20 |
= (140 + 80 + 90 + 10 + 100 + 50 - 50 - 20) / 8 = 50
Option a)
4. Hypothesis Test for Two Populations including t-Test for μ1-μ1 t-Test for μd F-Test for To...
3. Hypothesis Test for Two Populations including t-Test for μ1-μ1 t-Test for μd F-Test for To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are in the accompanying table. The preparation course is effective in improving exam scores if µd > 0, where µd = µAfter - µBefore. Student Exam Score Before Course Exam Score After Course 1 530 670 2 690 770 3 910...
To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are given below Exam Score Exam Score Student Before Course (1) After Course (2) 1 530 670 2 690 770 3 910 1,000 700 710 450 550 6 820 870 7 820 770 630 610 Referring to the above information, the number of degrees of freedom is O 14 O 13 Os O 7
To test...
To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are given below. Exam Score Exam Score Student Before Course (1) After Course (2) 1 530 670 2 690 770 3 910 1,000 4 700 710 5 450 550 6 820 870 7 820 770 8 630 610 Find Ho and H1. Please conduct a test at α = 0.01, show test statistic, p-value and critical...
siness test before and after the course. The results are given below. Student Exam Score Before the Course Exam Score After the Course 1 630 770 2 690 770 3 910 1,000 4 750 710 5 450 550 6 840 860 7 820 770 8 630 610 9 580 585 (a) Use an appropriate hypothesis test, at 0.01 level of significance, to determine whether there is evidence of a difference between before and after scores of the students. (b) What...
2. Hypothesis Test for Two Populations including t-Test for μ1-μ1 t-Test for μd F-Test for Suppose we are comparing two population means, µ1 and µ2, and consider their difference, µ 1 - µ 2. If the alternative hypothesis contains the statement HA: µ 1 - µ 2 < 0, which of the following is an equivalent statement to HA? Group of answer choices a. µ1 is larger than µ2 b. µ1 is smaller than µ2 c. µ1 is the same...
Use the moving average method to forecast period 105.Use the exponential smoothing method to forecast period 105.Use the time-series decomposition method to forecast period 105.Comparing the three methods, which one fits this situation best?The larger the parameter (n) is set, the more historical data are taken into account by the moving average.You can choose different parameter (n) to extrapolate to compare the prediction effect.In general, the parameter (n) should not be taken too large.Moving average.153025703560453055106560761085609580106101165012700136701470015760167301776018820197802090021840227702382024800257602676027770287902976030740317203267033690344703567036690376203865039610406204164042590436104460045630466004763048640496105059051610526305366054640558105679057820586505971060700616706269063730647306576066790678106887069890708707189072880739307498075900768607789078880798708084081860829108387084860858408654087780887508978090760917109273093750947509571096750977209877099740100750101760102780103800104850105Exponential smoothingsame153025703560453055106560761085609580106101165012700136701470015760167301776018820197802090021840227702382024800257602676027770287902976030740317203267033690344703567036690376203865039610406204164042590436104460045630466004763048640496105059051610526305366054640558105679057820586505971060700616706269063730647306576066790678106887069890708707189072880739307498075900768607789078880798708084081860829108387084860858408654087780887508978090760917109273093750947509571096750977209877099740100750101760102780103800104850105Time-series decomposition153025703560453055106560761085609580106101165012700136701470015760167301776018820197802090021840227702382024800257602676027770287902976030740317203267033690344703567036690376203865039610406204164042590436104460045630466004763048640496105059051610526305366054640558105679057820586505971060700616706269063730647306576066790678106887069890708707189072880739307498075900768607789078880798708084081860829108387084860858408654087780887508978090760917109273093750947509571096750977209877099740100750101760102780103800104850105
10. Hypothesis Test for Two Populations including t-Test for μ1-μ1 t-Test for μd F-Test for We are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 21 days of sales at Store A and a sample of 16 days of sales at Store B indicated the following Store A Store B nA=21 nB=16 SA=28.284 SB=20 Which of the following is critical values of F at 95% confidence? Group...
Can taking chess lessons and playing chess improve memory? The online article described a study in which sixth-grade students who had not previously played chess participated in a program in which they took chess lessons and played chess daily for 9 months. Each student took a memory test (the Test of Cognitive Skills) before starting the chess program and again at the end of the 9-month period. The table below shows the results for 12 randomly selected students. Student 1...
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and me Click the icon to view the data for diastolic blood pressure for men and women Data for Diastolic Blood Pressure of Men and Women Let , be the mean diastolic blood pressure for women and let...
Can taking chess lessons and playing chess improve memory? The online article described a study in which sixth-grade students who had not previously played chess participated in a program in which they took chess lessons and played chess daily for 9 months. Each student took a memory test (the Test of Cognitive Skills) before starting the chess program and again at the end of the 9-month period. The table below shows the results for 12 randomly selected students. Student 1...