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Asked Oct 16, 2019
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five sophomores were given an english achievement test before and after receiving instruction in basic grammar. their scores are shown below. is (see picture!) is it reasonable to conclude that future students would show higher scores after instruction? use the .05 significance level. a. use the steps of hypothesis testing. b. sketch the distributions involved. 

7.25
2
5.42
5.70
3
6.16
6.40
4
5.96
5.82
6.08
6.24
6
Based on the results shown, is oxygen
music? Use the .01 significance level. (
(b) Sketch the distributions involved. (c)
understands mean, standard deviation,
about statistics.
Lab
20. Five sophomores were given an English
ceiving instruction in basic grammar. Th
Student
Before
After
20
18
В
18
22
C
17
15
D
16
17
E
12
9
Is it reasonable to conclude that future stu
ter instruction? Use the .05 significance l
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7.25 2 5.42 5.70 3 6.16 6.40 4 5.96 5.82 6.08 6.24 6 Based on the results shown, is oxygen music? Use the .01 significance level. ( (b) Sketch the distributions involved. (c) understands mean, standard deviation, about statistics. Lab 20. Five sophomores were given an English ceiving instruction in basic grammar. Th Student Before After 20 18 В 18 22 C 17 15 D 16 17 E 12 9 Is it reasonable to conclude that future stu ter instruction? Use the .05 significance l

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Step 1

The following table shows the given data and all the calculations

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Step 2

Formulation of Hypothesis

Paired T-test is used when we have the same subject and comparing before and after the test.

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Null Hypothesis: Ho: H-0 Alternative Hypothesis: d>0 n is the no of observations Sp is the sample standard deviation D is the sample mean difference

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Step 3

Calculation of sample st...

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(DtD) i=1 Sp п — 1 33.2 2. 881 Sp 5 1 Test statistic D-Ha То Sp Vn 0.4-0 = 0.3104 To = 2.881 5 D.O.F 5-1 4 Finding the critical value at significance Of 0.05 and d.o.f- 4 2. 132 (From Excel T.INV(0.05,4)) Т.05,4

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