Choose the letter that corresponds to your answer. Choose letter E ifthe answer is not among the choices. 27. At a = 0.05, what is the correct decision?A. Do not reject the null hypothesis.B. Reject the alternative hypothesis.C. Reject the null hypothesis.D. Do not reject the alternative hypothesis.For #28 - #3 0ANOVASource of VariationBetween GroupsWithin GroupsP-vaiueof209.8314 3.815777 0.04756454.99048F419.66272769.866714Total1189.5291628. What is the appropriate null hypothesis for this test?A. Ho: H = Hz = ls = H4B. Ho: 4, = Lz = lsC. Ho: 4 = lzD. Ho: 4, # 4229. What is the sample size for this data?A. threeB. FourteenC. seventeenD. sixteen30. Given the Excel output, what can you conclude about the null hypothesis at 99%confidence level?A. Do not reject the null hypothesis.B. Reject the alternative hypothesis.C. Reject the null hypothesis.D. Do not reject the alternative hypothesis. For #22 - #27:The following are measurements of the heat-producing capacity (in millions of caloriesper ton) of random samples of five specimens each of coal from two mines:8380 8210 8360 7840 7910Mine 1:Mine 2:7540 7720 7750 8100 7690Below are the EXCEL outputs of the data at 95% confidence level:t-Test: Paired Two Sample for MeansMINE 2776042650t-Test: Two-Sample Assuming Equal VariMINE 1 MINE 2MINE 1MeanVarianceObservationsPooled VariancaHypothesized MeMean8140814077606345042650VarianceObservations62450Pearson Correlation -0.6905953050Hypothesized Mearoft StatP(Tet) ona-tailt Critical one-tailof2.0142792.608621tStatPIT<=t) ona-taitCritical ona-tail 1859548PIT<=t) two-tailB. ECritical two-tail 23060040.057120.0155992.1318470.114242.776445P(T<=t) two-t:il0.031197A.Critical two-tail22. Which of the two excel output above is the correct result of the data.A. Choice AC. BothB. Choice BD. None23. What is the appropriate set of hypotheses for this test?A. H,: 4 – H: < 0 vs Hai 4 – H2 > 0B. H,: µ – H2 = 0 vs Ha: H. – Hz # 0C. H,: 4, – Hz 20 vs Ha: 4 - u; = 0D. H.: 4, - 4, 20 vs Ha: H. - H, >024. From the given results above, which test is appropriate to test the significantdifference between the heat-producing capacities of the coal from the mines?A. t-Test: Paired Two Sample for Means/DependentB. t-Test: Two-Sample Assuming Equal Variances/ IndependentC. ANOVAD. Z- test25. What is the t- critical value?A. 2.131847C. 1.859548038 D. 2.306004B. 2.77644526. What is the p-value?A. 0.05712B. 0.11424C. 0.015598D. 0.031197

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Description: Choose the letter that corresponds to your answer. Choose letter E ifthe answer is not among the choices. 27. At a = 0.05, what is the correct decision?A. Do not reject the null hypothesis.B. Reject the alternative hypothesis.C. Reject the null hypot

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27. At a = 0.05, what is the correct decision? A. Do not reject the null hypothesis. B. Reject the alternative hypothesis. C. Reject the null hypothesis. D. Do not reject the alternative hypothesis. For #28 - #30 ANOVA Source of Variation Between Croups Within Croups SS 419.6627 769.8667 P-value 2 209.8314 3.815777 0.047564 14 54.99048 Total 1189.529 16

27. At a = 0.05, what is the correct decision? A. Do not reject the null hypothesis. B. Reject the alternative hypothesis. C. Reject the null hypothesis. D. Do not reject the alternative hypothesis. For #28 - #30 ANOVA Source of Variation Between Croups Within Croups SS 419.6627 769.8667 P-value 2 209.8314 3.815777 0.047564 14 54.99048 Total 1189.529 16

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

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Topic Video

Question

Choose the letter that corresponds to your answer. Choose letter E if

the answer is not among the choices.

27. At a = 0.05, what is the correct decision?
A. Do not reject the null hypothesis.
B. Reject the alternative hypothesis.
C. Reject the null hypothesis.
D. Do not reject the alternative hypothesis.
For #28 - #3 0
ANOVA
Source of Variation
Between Groups
Within Groups
P-vaiue
of
209.8314 3.815777 0.047564
54.99048
F
419.6627
2
769.8667
14
Total
1189.529
16
28. What is the appropriate null hypothesis for this test?
A. Ho: H = Hz = ls = H4
B. Ho: 4, = Lz = ls
C. Ho: 4 = lz
D. Ho: 4, # 42
29. What is the sample size for this data?
A. three
B. Fourteen
C. seventeen
D. sixteen
30. Given the Excel output, what can you conclude about the null hypothesis at 99%
confidence level?
A. Do not reject the null hypothesis.
B. Reject the alternative hypothesis.
C. Reject the null hypothesis.
D. Do not reject the alternative hypothesis.

For #22 - #27:
The following are measurements of the heat-producing capacity (in millions of calories
per ton) of random samples of five specimens each of coal from two mines:
8380 8210 8360 7840 7910
Mine 1:
Mine 2:
7540 7720 7750 8100 7690
Below are the EXCEL outputs of the data at 95% confidence level:
t-Test: Paired Two Sample for Means
MINE 2
7760
42650
t-Test: Two-Sample Assuming Equal Vari
MINE 1 MINE 2
MINE 1
Mean
Variance
Observations
Pooled Varianca
Hypothesized Me
Mean
8140
8140
7760
63450
42650
Variance
Observations
62450
Pearson Correlation -0.69059
53050
Hypothesized Mear
of
t Stat
P(Tet) ona-tail
t Critical one-tail
of
2.014279
2.608621
tStat
PIT<=t) ona-tai
tCritical ona-tail 1859548
PIT<=t) two-tail
B. ECritical two-tail 2306004
0.05712
0.015599
2.131847
0.11424
2.776445
P(T<=t) two-t:il
0.031197
A.
Critical two-tail
22. Which of the two excel output above is the correct result of the data.
A. Choice A
C. Both
B. Choice B
D. None
23. What is the appropriate set of hypotheses for this test?
A. H,: 4 – H: < 0 vs Hai 4 – H2 > 0
B. H,: µ – H2 = 0 vs Ha: H. – Hz # 0
C. H,: 4, – Hz 20 vs Ha: 4 - u; = 0
D. H.: 4, - 4, 20 vs Ha: H. - H, >0
24. From the given results above, which test is appropriate to test the significant
difference between the heat-producing capacities of the coal from the mines?
A. t-Test: Paired Two Sample for Means/Dependent
B. t-Test: Two-Sample Assuming Equal Variances/ Independent
C. ANOVA
D. Z- test
25. What is the t- critical value?
A. 2.131847
C. 1.859548038 D. 2.306004
B. 2.776445
26. What is the p-value?
A. 0.05712
B. 0.11424
C. 0.015598
D. 0.031197

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