Battery life is an important issue for many smartphone owners. Public health studies have examined "low-battery anxiety" and acute anxiety called nomophobia that results when a smartphone user's phone battery charge runs low and then dies.+ Suppose battery life between charges for a particular smartphone averages 31 hours when the primary use is talk time and 10 hours when the primary use is Internet applications. Because the mean hours for talk time usage is greater than the mean hours for Internet usage, the question was raised as to whether the variance in hours of usage is also greater when the primary use is talk time. Sample data showing battery life between charges for the two applications follows. Primary Use: Talking 35.8 22.2 24.0 32.6 18.5 43.5 28.0 23.8 30.0 22.8 19.3 35.5 Primary Use: Internet 14.0 11.5 16.4 11.9 9.9 3.1 6.4 11.0 15.2 4.0 4.7 (a) Formulate hypotheses about the two population variances that can be used to determine f the population variance in battery life is greater for the talk time application. (Consider the talk time use as population 1 and Internet use as population 2.) Ho: 01 > 02 H₂: 0₁ Ho: 01 2

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Battery life is an important issue for many smartphone owners. Public health studies have examined "low-battery anxiety" and acute anxiety called nomophobia that results when a
smartphone user's phone battery charge runs low and then dies.+ Suppose battery life between charges for a particular smartphone averages 31 hours when the primary use is talk time and
10 hours when the primary use is Internet applications. Because the mean hours for talk time usage is greater than the mean hours for Internet usage, the question was raised as to whether
the variance in hours of usage is also greater when the primary use is talk time. Sample data showing battery life between charges for the two applications follows.
Primary Use: Talking
35.8 22.2 24.0 32.6 18.5
28.0 23.8 30.0 22.8 19.3 35.5
Primary Use: Internet
14.0 11.5 16.4 11.9
6.4 11.0 15.2 4.0
1
2
Ho: 01 S
(a) Formulate hypotheses about the two population variances that can be used to determine if the population variance in battery life is greater for the talk time application. (Consider the
talk time use as population 1 and Internet use as population 2.)
2
Ho: o
2
>02
2
2
H₂: 0₂²50₂²
01
2
Ha: 01
2
02
>02
=
2
2
2
Ho: 01
Ha: 01
Ho: 0₁² #0₂²
01
Ha: 0₁²
2
2
=
2
02
2
02
02
2
43.5
02
9.9 3.1
4.7
Transcribed Image Text:Battery life is an important issue for many smartphone owners. Public health studies have examined "low-battery anxiety" and acute anxiety called nomophobia that results when a smartphone user's phone battery charge runs low and then dies.+ Suppose battery life between charges for a particular smartphone averages 31 hours when the primary use is talk time and 10 hours when the primary use is Internet applications. Because the mean hours for talk time usage is greater than the mean hours for Internet usage, the question was raised as to whether the variance in hours of usage is also greater when the primary use is talk time. Sample data showing battery life between charges for the two applications follows. Primary Use: Talking 35.8 22.2 24.0 32.6 18.5 28.0 23.8 30.0 22.8 19.3 35.5 Primary Use: Internet 14.0 11.5 16.4 11.9 6.4 11.0 15.2 4.0 1 2 Ho: 01 S (a) Formulate hypotheses about the two population variances that can be used to determine if the population variance in battery life is greater for the talk time application. (Consider the talk time use as population 1 and Internet use as population 2.) 2 Ho: o 2 >02 2 2 H₂: 0₂²50₂² 01 2 Ha: 01 2 02 >02 = 2 2 2 Ho: 01 Ha: 01 Ho: 0₁² #0₂² 01 Ha: 0₁² 2 2 = 2 02 2 02 02 2 43.5 02 9.9 3.1 4.7
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