A company contracts with a language institute to provide instruction in Spanish for its executives who will be posted overseas. The following table gives the pretest and posttest scores on the Modern Language Association's listening test in Spanish for 20 executives. Subject Pretest Posttest Subject Pretest Posttest 1 30 29 11 30 32 2 28 30 12 29 28 31 32 13 31 34 4 26 30 14 29 32 5 20 16 15 34 32 30 25 16 20 27 34 31 17 26 28 8. 15 18 18 25 29 9. 28 33 19 31 32 10 20 25 20 29 32 a. We hope to show that the training improves listening skills. State an appropriate Ho and Ha. Describe in words the parameters that аppear in your hypotheses. b. Make a graphical check for outliers or strong skewness in the data that you will use in your statistical test, and report your conclusions on the validity of the test. c. Carry out a test. Can you reject Ho at the 5% significance level? At the 1% signifi- cance level?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Question
A company contracts with a language institute to provide instruction in Spanish for its
executives who will be posted overseas. The following table gives the pretest and posttest
scores on the Modern Language Association's listening test in Spanish for 20 executives.
Subject
Pretest
Posttest
Subject
Pretest
Posttest
1
30
29
11
30
32
28
30
12
29
28
31
32
13
31
34
4
26
30
14
29
32
20
16
15
34
32
6.
30
25
16
20
27
7
34
31
17
26
28
8
15
18
18
25
29
9.
28
33
19
31
32
10
20
25
20
29
32
a. We hope to show that the training improves listening skills. State an appropriate Ho and
Ha. Describe in words the parameters that appear in your hypotheses.
b. Make a graphical check for outliers or strong skewness in the data that you will use
in your statistical test, and report your conclusions on the validity of the test.
c. Carry out a test. Can you reject Ho at the 5% significance level? At the 1% signifi-
cance level?
Transcribed Image Text:A company contracts with a language institute to provide instruction in Spanish for its executives who will be posted overseas. The following table gives the pretest and posttest scores on the Modern Language Association's listening test in Spanish for 20 executives. Subject Pretest Posttest Subject Pretest Posttest 1 30 29 11 30 32 28 30 12 29 28 31 32 13 31 34 4 26 30 14 29 32 20 16 15 34 32 6. 30 25 16 20 27 7 34 31 17 26 28 8 15 18 18 25 29 9. 28 33 19 31 32 10 20 25 20 29 32 a. We hope to show that the training improves listening skills. State an appropriate Ho and Ha. Describe in words the parameters that appear in your hypotheses. b. Make a graphical check for outliers or strong skewness in the data that you will use in your statistical test, and report your conclusions on the validity of the test. c. Carry out a test. Can you reject Ho at the 5% significance level? At the 1% signifi- cance level?
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