Test the claim that on average, salaries in Smalltown are less than salaries in Largetown. A random sample of 34 Smalltown salaries yields a mean of $60630 and standard deviation of $1741, while a random sample of 30 Largetown salaries yields a mean of $60715 and a standard deviation of $1652. Use a 0.10. Let Population 1 be Smalltown. 1. The fact that salaries are not known to be normally distributed is not important in this test because: O both sample means are at least thirty O this is a T-test O this is a Z-test O both sample sizes are at least thirty The hypotheses are: O Ho:µi < P2; Ha: 41 > H2 O Ho:p1 = p2; Ha: p1 p2 %3D O Ho:p1 < p2; Ha: p1 > p2 O Ho:µ1 > µ2; Ha:µ1 < µ2 О Но: р1 2 р2;B На:рі < р2 O Ho:p = p2; Ha:µ1 # µ2 This is a O twoO rightO left tailed test and the distribution used is OT since both o values are not known OZ since both o values are known OZ since testing two proportions

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Question 26
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Test the claim that on average, salaries in Smalltown are less than salaries in Largetown. A random sample
of 34 Smalltown salaries yields a mean of $60630 and standard deviation of $1741, while a random sample
of 30 Largetown salaries yields a mean of $60715 and a standard deviation of $1652. Use a = 0.10.
Let Population 1 be Smalltown.
1. The fact that salaries are not known to be normally distributed is not important in this test because:
O both sample means are at least thirty
O this is a T-test
O this is a Z-test
O both sample sizes are at least thirty
The hypotheses are:
O Ho: µi < H2; Ha:µ1 > µ2
O Ho:p1 = p2; Ha: p1 # p2
O Ho:p1 < p2; Ha:p1 > p2
O Ho:µ1 > µ2; Ha: µ1 < µ2
O Ho:pi > p2; Ha:p1 < p2
O Ho:pi = p2; Ha: µ1 # µ2
2. This is a O twoO rightO left tailed test and the distribution used is
OT since both o values are not known
OZ since both o values are known
OZ since testing two proportions
Transcribed Image Text:Question 26 <> Test the claim that on average, salaries in Smalltown are less than salaries in Largetown. A random sample of 34 Smalltown salaries yields a mean of $60630 and standard deviation of $1741, while a random sample of 30 Largetown salaries yields a mean of $60715 and a standard deviation of $1652. Use a = 0.10. Let Population 1 be Smalltown. 1. The fact that salaries are not known to be normally distributed is not important in this test because: O both sample means are at least thirty O this is a T-test O this is a Z-test O both sample sizes are at least thirty The hypotheses are: O Ho: µi < H2; Ha:µ1 > µ2 O Ho:p1 = p2; Ha: p1 # p2 O Ho:p1 < p2; Ha:p1 > p2 O Ho:µ1 > µ2; Ha: µ1 < µ2 O Ho:pi > p2; Ha:p1 < p2 O Ho:pi = p2; Ha: µ1 # µ2 2. This is a O twoO rightO left tailed test and the distribution used is OT since both o values are not known OZ since both o values are known OZ since testing two proportions
The Degrees of Freedom (use the simple estimate discussed in the notes, not the messy formula) are
O 29
O 34
ON/A; this is a Z-test
3. The STS (round to 3 decimals) is:
The P-value (round to 4 decimals) is:
4. The decision at a = 0.10 is:
O Do not reject Ho since P < a
O Reject Ho since P < a
O Reject Ho since P > a
O Do not reject Ho since P > a
The conclusion is:
O There is sufficient evidence to conclude that on average, salaries in Smalltown are not less than
salaries in Largetown
O There is sufficient evidence to conclude that on average, salaries in Smalltown are less than salaries
in Largetown
O There is insufficient evidence to conclude that on average, salaries in Smalltown are not less than
salaries in Largetown
O There is insufficient evidence to conclude that on average, salaries in Smalltown are less than
salaries in Largetown
Transcribed Image Text:The Degrees of Freedom (use the simple estimate discussed in the notes, not the messy formula) are O 29 O 34 ON/A; this is a Z-test 3. The STS (round to 3 decimals) is: The P-value (round to 4 decimals) is: 4. The decision at a = 0.10 is: O Do not reject Ho since P < a O Reject Ho since P < a O Reject Ho since P > a O Do not reject Ho since P > a The conclusion is: O There is sufficient evidence to conclude that on average, salaries in Smalltown are not less than salaries in Largetown O There is sufficient evidence to conclude that on average, salaries in Smalltown are less than salaries in Largetown O There is insufficient evidence to conclude that on average, salaries in Smalltown are not less than salaries in Largetown O There is insufficient evidence to conclude that on average, salaries in Smalltown are less than salaries in Largetown
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