WiThursday67 65 6868 68 7069 70spFriday68 70 6971 72 6970 70spbeSource: Washington Observer-Reporterin7. Reducing Errors in Grammar A composition teacherwishes to see whether a new smartphone app will re-duce the number of grammatical errors her studentsmake when writing a two-page essay. She randomly se-lects six students, and the data are shown. At a 0.025,can it be concluded that the number of errors has been12.reduced?Student456Errors before120543Errors after61328. Overweight Dogs A veterinary nutritionist developeda diet for overweight dogs. The total volume of foodconsumed remains the same, but one-half of the dogfood is replaced with a low-calorie "filler" such as

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Asked Nov 12, 2019
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I need help with question 7 please

Wi
Thursday
67 65 68
68 68 70
69 70
sp
Friday
68 70 69
71 72 69
70 70
sp
be
Source: Washington Observer-Reporter
in
7. Reducing Errors in Grammar A composition teacher
wishes to see whether a new smartphone app will re-
duce the number of grammatical errors her students
make when writing a two-page essay. She randomly se-
lects six students, and the data are shown. At a 0.025,
can it be concluded that the number of errors has been
12.
reduced?
Student
4
5
6
Errors before
12
0
5
4
3
Errors after
6
1
3
2
8. Overweight Dogs A veterinary nutritionist developed
a diet for overweight dogs. The total volume of food
consumed remains the same, but one-half of the dog
food is replaced with a low-calorie "filler" such as
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Wi Thursday 67 65 68 68 68 70 69 70 sp Friday 68 70 69 71 72 69 70 70 sp be Source: Washington Observer-Reporter in 7. Reducing Errors in Grammar A composition teacher wishes to see whether a new smartphone app will re- duce the number of grammatical errors her students make when writing a two-page essay. She randomly se- lects six students, and the data are shown. At a 0.025, can it be concluded that the number of errors has been 12. reduced? Student 4 5 6 Errors before 12 0 5 4 3 Errors after 6 1 3 2 8. Overweight Dogs A veterinary nutritionist developed a diet for overweight dogs. The total volume of food consumed remains the same, but one-half of the dog food is replaced with a low-calorie "filler" such as

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Step 1

Paired t-test statistic:

To test a hypothesis regarding whether the difference between a paired set of n observations (xi, yi) is significant or not, the paired t-test can be used. The test statistic for the paired t-test is given as follows:

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d t = se(d) where, 1 d Σ-y) nl se(d) standard error of d standard deviation of d n 1 Σ4-a) п-1 i=1 п

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Step 2

Null and alternative hypotheses:

H0: µd=0

Ha: µd>0

Preliminary calculation:

The following table shows the necessary calculations to find the test statistic:

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(di d)2 (di 1.5) Difference Student ETOrs Before ETors After (di Before-After 12 9 3 2.25 2 6 3 2.25 0 1 -1 6.25 4 5 2 0.25 0.25 5 2 2 6 3 0 2.25 (d,-a13.5 d 1.5 i=1

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Step 3

Test statistic:

The test statistic is calc...

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1 Σ(4-a) п-1 se(d)= n 1 x 13.5 6-1 =0.6708 t = se(d) 1.5 0.6708 =2.2361 df n-1 =6-1 = 5

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