An experiment was conducted to compare the alcohol content of soy sauce on two different production lines. Production was monitored eight times a day. The data are shown below. Assume both populations are normal. It is suspected that production line 1 is not producing as consistently as production line 2 in terms of alcohol content. Test the hypothesis that 0₁ = 0₂ against the alternative that 0₁ #02. Use a P-value. Production line 1: Production line 2: Calculate the test statistic. 0.47 0.39 0.42 0.54 0.39 0.48 0.52 0.52 0.39 0.37 0.38 0.41 0.37 0.39 0.41 0.39 f= (Type an integer or a decimal. Round to two decimal places as needed.)

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An experiment was conducted to compare the alcohol content of soy sauce on two
different production lines. Production was monitored eight times a day. The data are
shown below. Assume both populations are normal. It is suspected that production line
1 is not producing as consistently as production line 2 in terms of alcohol content. Test
the hypothesis that 0₁ 02 against the alternative that 0₁ #02. Use a P-value.
Production line 1:
Production line 2:
Calculate the test statistic.
__
0.47 0.39 0.42 0.54 0.39 0.48 0.52 0.52 n
0.39 0.37 0.38 0.41 0.37 0.39 0.41 0.39
f=
(Type an integer or a decimal. Round to two decimal places as needed.)
Transcribed Image Text:An experiment was conducted to compare the alcohol content of soy sauce on two different production lines. Production was monitored eight times a day. The data are shown below. Assume both populations are normal. It is suspected that production line 1 is not producing as consistently as production line 2 in terms of alcohol content. Test the hypothesis that 0₁ 02 against the alternative that 0₁ #02. Use a P-value. Production line 1: Production line 2: Calculate the test statistic. __ 0.47 0.39 0.42 0.54 0.39 0.48 0.52 0.52 n 0.39 0.37 0.38 0.41 0.37 0.39 0.41 0.39 f= (Type an integer or a decimal. Round to two decimal places as needed.)
Past experience indicates that the time required for high school seniors to complete a
standardized test is a normal random variable with a standard deviation of 7 minutes.
Test the hypothesis that o = 7 against the alternative that o<7 if a random sample of the
test times of 18 high school seniors has a standard deviation s=5.83. Use a 0.10 level
of significance.
Click here to view page 1 of the Chi-Square Critical Values Table.
Click here to view page 2 of the Chi-Square Critical Values Table.
Identify the null and alternative hypotheses. Select the correct choice below and fill in
the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
A.
C.
Ho: 0²>
H₁:
1:0² =
Ho: 0²=
H₁:0²>
B. Ho: 0²<
0² =
H₁:
D. Ho: 0²:
=
H₁:0² <
Transcribed Image Text:Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a standard deviation of 7 minutes. Test the hypothesis that o = 7 against the alternative that o<7 if a random sample of the test times of 18 high school seniors has a standard deviation s=5.83. Use a 0.10 level of significance. Click here to view page 1 of the Chi-Square Critical Values Table. Click here to view page 2 of the Chi-Square Critical Values Table. Identify the null and alternative hypotheses. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) A. C. Ho: 0²> H₁: 1:0² = Ho: 0²= H₁:0²> B. Ho: 0²< 0² = H₁: D. Ho: 0²: = H₁:0² <
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