1225,3Section 11.1 Hypothesis Tests for the Difference Between Two Mea-6 In general, it is not recommended to use a pooled standarddeviation when testing a hypothesis for the difference betweenThe following datasons are consistentmeans.reported in the artsamples come froPracticing the SkillsFirstbor7. A test was made of Ho: HI=42 versus H1: H1H2. The10482 102sample means were = 6 and i= 11, the sample standarddeviations were s = 3 ands = 5, and the sample sizes were10 and n 20.89 114 1071Secondba. How many degrees of freedom are there for the test statistic,using the simple method?D. Compute the value of the test statistic.C. Is Ho rejected at the 0.05 level? Explain.103 103 912103 92 90 Bo5/1,17 253Section 11.1Hypothesis Tests for the Difference Between Two Means: Indepenprieu6. In general, it is not recommended to use a pooled standarddeviation when testing a hypothesis for the difference betweenThe following data for 10 firstbsons are consistent with the memeans.reported in the article. It is reassamples come from populationPracticing the SkillsFirstborn7. A test was made of Ho: H2 versus Hi: 1H2.Thesample means were = 6 and 2= 11, the sample standarddeviations were s1 = 3 and s2 = 5, and the sample sizes were10482 102 96 12989 114 107 89 103n1= 10 and n = 20.Secondborna. How many degrees of freedom are there for the test statistic,using the simple method?b. Compute the value of the test statistic.C. Is Ho rejected at the 0.05 level? Explain.103 103 91 113 102103 92 90 114 113

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Asked Nov 26, 2019
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12
25,3
Section 11.1 Hypothesis Tests for the Difference Between Two Mea-
6 In general, it is not recommended to use a pooled standard
deviation when testing a hypothesis for the difference between
The following data
sons are consistent
means.
reported in the art
samples come fro
Practicing the Skills
Firstbor
7. A test was made of Ho: HI=42 versus H1: H1H2. The
104
82 102
sample means were = 6 and i= 11, the sample standard
deviations were s = 3 ands = 5, and the sample sizes were
10 and n 20.
89 114 107
1
Secondb
a. How many degrees of freedom are there for the test statistic,
using the simple method?
D. Compute the value of the test statistic.
C. Is Ho rejected at the 0.05 level? Explain.
103 103 91
2
103 92 90
help_outline

Image Transcriptionclose

12 25,3 Section 11.1 Hypothesis Tests for the Difference Between Two Mea- 6 In general, it is not recommended to use a pooled standard deviation when testing a hypothesis for the difference between The following data sons are consistent means. reported in the art samples come fro Practicing the Skills Firstbor 7. A test was made of Ho: HI=42 versus H1: H1H2. The 104 82 102 sample means were = 6 and i= 11, the sample standard deviations were s = 3 ands = 5, and the sample sizes were 10 and n 20. 89 114 107 1 Secondb a. How many degrees of freedom are there for the test statistic, using the simple method? D. Compute the value of the test statistic. C. Is Ho rejected at the 0.05 level? Explain. 103 103 91 2 103 92 90

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Bo5/1,17 253
Section 11.1Hypothesis Tests for the Difference Between Two Means: Indepen
prieu
6. In general, it is not recommended to use a pooled standard
deviation when testing a hypothesis for the difference between
The following data for 10 firstb
sons are consistent with the me
means.
reported in the article. It is reas
samples come from population
Practicing the Skills
Firstborn
7. A test was made of Ho: H2 versus Hi: 1H2.The
sample means were = 6 and 2= 11, the sample standard
deviations were s1 = 3 and s2 = 5, and the sample sizes were
104
82 102 96 129
89 114 107 89 103
n1= 10 and n = 20.
Secondborn
a. How many degrees of freedom are there for the test statistic,
using the simple method?
b. Compute the value of the test statistic.
C. Is Ho rejected at the 0.05 level? Explain.
103 103 91 113 102
103 92 90 114 113
help_outline

Image Transcriptionclose

Bo5/1,17 253 Section 11.1Hypothesis Tests for the Difference Between Two Means: Indepen prieu 6. In general, it is not recommended to use a pooled standard deviation when testing a hypothesis for the difference between The following data for 10 firstb sons are consistent with the me means. reported in the article. It is reas samples come from population Practicing the Skills Firstborn 7. A test was made of Ho: H2 versus Hi: 1H2.The sample means were = 6 and 2= 11, the sample standard deviations were s1 = 3 and s2 = 5, and the sample sizes were 104 82 102 96 129 89 114 107 89 103 n1= 10 and n = 20. Secondborn a. How many degrees of freedom are there for the test statistic, using the simple method? b. Compute the value of the test statistic. C. Is Ho rejected at the 0.05 level? Explain. 103 103 91 113 102 103 92 90 114 113

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Expert Answer

Step 1

(a)

The degrees of freedom is 28, which is obtained as follows:

df nn
-2
=10+20 2
=28
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df nn -2 =10+20 2 =28

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Step 2

(b)

Pooled estimate:

The pooled estimate of the population variance is,

(n,-1)S(n,-1)s
nn-2
(10-1) 3)(20-1)(5)
10 20 2
81 475
28
19.86
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(n,-1)S(n,-1)s nn-2 (10-1) 3)(20-1)(5) 10 20 2 81 475 28 19.86

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Step 3

The test statistic is –2.90, which i...

(-)
t =
1
1
2
п,
п,
(6-11)
1
+
10
19.86
20
-5
1.7260
=-2.90
help_outline

Image Transcriptionclose

(-) t = 1 1 2 п, п, (6-11) 1 + 10 19.86 20 -5 1.7260 =-2.90

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