a)
Ho: mean reading score is same for all four meyhods
Ha: at least one mean is different
b)
conditios are met for anova test as samples taken are random and are normally distributed
c)
p-value |
0.2501 |
d)
F |
1.45 |
one way anova
method 1 | method 2 | method 3 | method4 | |||
count, ni = | 8 | 8 | 7 | 7 | ||
mean , x̅ i = | 67.500 | 71.63 | 80.86 | 71.14 | ||
std. dev., si = | 15.866 | 12.883 | 10.761 | 10.01 | ||
sample variances, si^2 = | 251.714 | 165.982 | 115.810 | 100.143 | ||
total sum | 540 | 573 | 566 | 498 | 2177 | (grand sum) |
grand mean , x̅̅ = | Σni*x̅i/Σni = | 72.57 | ||||
square of deviation of sample mean from grand mean,( x̅ - x̅̅)² | 25.671 | 0.887 | 68.732 | 2.027 | ||
TOTAL | ||||||
SS(between)= SSB = Σn( x̅ - x̅̅)² = | 205.369 | 7.094 | 481.124 | 14.191 | 707.7774 | |
SS(within ) = SSW = Σ(n-1)s² = | 1762.000 | 1161.875 | 694.857 | 600.857 | 4219.5893 |
no. of treatment , k = 4
df between = k-1 = 3
N = Σn = 30
df within = N-k = 26
mean square between groups , MSB = SSB/k-1 =
235.9258
mean square within groups , MSW = SSW/N-k =
162.2919
F-stat = MSB/MSW = 1.4537
P value = 0.2501
SST=Σ( x - x̅̅ )² = 3773.958
anova table | 0.143642117 | |||||
SS | df | MS | F | p-value | F-critical | |
Between: | 707.78 | 3 | 235.93 | 1.45 | 0.2501 | 2.98 |
Within: | 4219.59 | 26 | 162.29 | |||
Total: | 4927.37 | 29 | ||||
α = | 0.05 | |||||
conclusion : | p-value>α , do not reject null hypothesis |
e)
conclusion: there is enough evidence to say that mean of reading scores by all methods are same
1. State the null and alternative hypotheses. 2. Verify that the conditions are met 3. What...
Use the Grouped Distribution method for the following exercise (see Self-Test 2-4 for detailed instructions), rounding each answer to the nearest whole number. Using the frequency distribution below (scores on a statistics exam taken by 80 students), determine:ion 1 of the preliminary test (scores on a statistics exam taken by 80 students), determine: 68 84 75 82 68 90 62 88 76 93 73 79 88 73 60 93 71 59 85 75 61 65 75 87 74 62 95...
Use the Grouped Distribution method for the following exercise (see Self-Test 2-4 for detailed instructions), rounding each answer to the nearest whole number. Using the frequency distribution below (scores on a statistics exam taken by 80 students), determine:ion 1 of the preliminary test (scores on a statistics exam taken by 80 students), determine: 68 84 75 82 68 90 62 88 76 93 73 79 88 73 60 93 71 59 85 75 61 65 75 87 74 62 95...
'Student Pair' 'Standard Teaching Method' 'New Teaching Method' 1 51 67 2 72 90 3 85 82 4 51 63 5 73 76 6 72 73 7 65 78 8 72 94 9 72 85 10 95 100 11 70 80 12 60 72 13 57 100 14 48 58 15 74 89 16 63 97 17 82 88 18 57 45 19 87 81 20 65 99 21 48 69 22 97 70 23 61 47 24 83 73...
Please compute your z -don't use a package State your conclusion in plain English - not just rejection 1 Students in the online class are suspicious that their schools 60 point loss may have caused their teacher to take out his frustration on the students by giving them a harder than usual exam. They manage to hack into his computer and get the following data: Scores for test Nov 2011 71 74 64 77 58 72 73 79 50 78...
Problem #1: Consider the below matrix A, which you can copy and paste directly into Matlab. The matrix contains 3 columns. The first column consists of Test #1 marks, the second column is Test # 2 marks, and the third column is final exam marks for a large linear algebra course. Each row represents a particular student.A = [36 45 75 81 59 73 77 73 73 65 72 78 65 55 83 73 57 78 84 31 60 83...
Find the indicated measure. The test scores of 40 students are listed below. Find P85. 30 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98 1) 85 2) 87 3) 89 4) 34
Find the indicated measure. The test scores of 40 students are listed below. Find P85. 30 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98 1) 85 2) 87 3) 89 4) 34
Step 1 of 5:State the null and alternative hypotheses for the
test.
Step 2 of 5: Find the value of the standard deviation of the
paired differences. Round your answer to two decimal places.
Step 3 of 5:Compute the value of the test statistic. Round your
answer to three decimal places.
Step 4 of 5: Find the p-value for the hypothesis test. Round
your answer to four decimal places.
Step 5 of 5: Draw a conclusion for the hypothesis test....
Question 1 15 pts Test scores for a class of 40 students are listed below: 25 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98 a) The mean of the sample data is b) The median of the sample data is c) The standard deviation of the sample data is...
An experiment is conducted to determine if classes offered in an online format are as effective as classes offered in a traditional classroom setting. Students were randomly assigned to one of the two teaching methods. Data below. a. Test the claim that the standard deviations for the two groups are equal. What is the p-value of the test? b. Construct a 95% confidence interval on the difference in expected final exam scores between the two groups. Does the data support...