A public school is considering the revision of its Reading course. The school believes that the revised course will improve the reading comprehension skills of its students. The school has decided to conduct an experiment to evaluate the revised course before it is offered to the general student body. Pairs of students were formed based on their grades in the Reading course the previous semester. A random sample of 10 pairs were then selected. A randomization process was again used to determine which student in the pair will be taught using the revised course. At the end of the course, all the students in the sample were given the same exam. Based on the scores below, can it be concluded at α = 0.01 level of significance that the revised course has improved the reading comprehension of the students?  (see photo) a. State Ho and Ha. b. Write the formula of the test statistic to be used assuming normality. c. State the decision rule at 0.01 level of significance. d. Compute for the value of the test statistic. e. Is there sufficient evidence at 0.01 level of significance to conclude that the revised course improved the reading comprehension of students, in general?

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A public school is considering the revision of its Reading course. The school believes that the revised course will improve the reading comprehension skills of its students. The school has decided to conduct an experiment to evaluate the revised course before it is offered to the general student body. Pairs of students were formed based on their grades in the Reading course the previous semester. A
random sample of 10 pairs were then selected. A randomization process was again used to determine which student in the pair will be taught using the revised course. At the end of the course, all the students in the sample were given the same exam. Based on the scores below, can it be concluded at α = 0.01 level of significance that the revised course has improved the reading comprehension of the students? 

(see photo)

a. State Ho and Ha.
b. Write the formula of the test statistic to be used assuming normality.
c. State the decision rule at 0.01 level of significance.
d. Compute for the value of the test statistic.
e. Is there sufficient evidence at 0.01 level of significance to conclude that the revised course improved the reading comprehension of students, in general?

Pair
1
3
4
6.
7
9.
10
Existing
211 216
191
224
201
178
188
159
177
197
Revised
221 231
203
216
207
203
201
179
179
211
2.
Transcribed Image Text:Pair 1 3 4 6. 7 9. 10 Existing 211 216 191 224 201 178 188 159 177 197 Revised 221 231 203 216 207 203 201 179 179 211 2.
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