Question

# A study of reading comprehension in children compared three methods of instruction. The three methods of...

A study of reading comprehension in children compared three methods of instruction. The three methods of instruction are called Basal, DRTA, and Strategies. As is common in such studies, two pretest variables were measured before any instruction was given. One purpose of the pretest was to see if the three groups of children were similar in their comprehension skills prior to the start of the study. The READING data set described in the Data Appendix gives two pretest measures that were used in this study. Use one-way ANOVA to analyze the Pretest 1 Data. (Data found below)

1. What null hypothesis are you testing?

(a)At least one population mean is different

(b)The sample means for all three methods of instruction are equal

(c)At least one sample mean is different

(d)The population means for all three methods of instruction are equal

2. What are the mean score for each of the three methods of instruction? Round your answers to 2 decimal places.

Basal=
DRTA=
Strategies=

3. What are the values of F and P for the ANOVA? Round your answers to 2 decimal places.
F=
p-value=

(a)Reject the null hypothesis.

(b)We can conclude that at least one mean is different.

(c)Fail to reject the null hypothesis.

(d)There is not sufficient evidence to support a difference in means.

Data:

```subject group   pre1    pre2    post1   post2   post3
1       B       4       3       5       4       41
2       B       6       5       9       5       41
3       B       9       4       5       3       43
4       B       12      6       8       5       46
5       B       16      5       10      9       46
6       B       15      13      9       8       45
7       B       14      8       12      5       45
8       B       12      7       5       5       32
9       B       12      3       8       7       33
10      B       8       8       7       7       39
11      B       13      7       12      4       42
12      B       9       2       4       4       45
13      B       12      5       4       6       39
14      B       12      2       8       8       44
15      B       12      2       6       4       36
16      B       10      10      9       10      49
17      B       8       5       3       3       40
18      B       12      5       5       5       35
19      B       11      3       4       5       36
20      B       8       4       2       3       40
21      B       7       3       5       4       54
22      B       9       6       7       8       32
23      D       7       2       7       6       31
24      D       7       6       5       6       40
25      D       12      4       13      3       48
26      D       10      1       5       7       30
27      D       16      8       14      7       42
28      D       15      7       14      6       48
29      D       9       6       10      9       49
30      D       8       7       13      5       53
31      D       13      7       12      7       48
32      D       12      8       11      6       43
33      D       7       6       8       5       55
34      D       6       2       7       0       55
35      D       8       4       10      6       57
36      D       9       6       8       6       53
37      D       9       4       8       7       37
38      D       8       4       10      11      50
39      D       9       5       12      6       54
40      D       13      6       10      6       41
41      D       10      2       11      6       49
42      D       8       6       7       8       47
43      D       8       5       8       8       49
44      D       10      6       12      6       49
45      S       11      7       11      12      53
46      S       7       6       4       8       47
47      S       4       6       4       10      41
48      S       7       2       4       4       49
49      S       7       6       3       9       43
50      S       6       5       8       5       45
51      S       11      5       12      8       50
52      S       14      6       14      12      48
53      S       13      6       12      11      49
54      S       9       5       7       11      42
55      S       12      3       5       10      38
56      S       13      9       9       9       42
57      S       4       6       1       10      34
58      S       13      8       13      1       48
59      S       6       4       7       9       51
60      S       12      3       5       13      33
61      S       6       6       7       9       44
62      S       11      4       11      7       48
63      S       14      4       15      7       49
64      S       8       2       9       5       33
65      S       5       3       6       8       45
66      S       8       3       4       6       42```

Solution: 1. What null hypothesis are you testing?

Answer: (d)The population means for all three methods of instruction are equal

2. What are the mean score for each of the three methods of instruction?

3. What are the values of F and P for the ANOVA?

Answer: We can use excel data analysis tool to find the F and P value. The excel output is given below:

Therefore we have:

Answer: c) Fail to reject the null hypothesis.

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