Let us suppose that we have a book, which provides data on the absorbency of paper towels that were produced by two different manufacturing processes. From process 1, the sample size was 10 and had a mean and standard deviation of 190 and 15, respectively. From process 2, the sample size was 4 with a mean and standard deviation of 300 and 44, respectively. Is there evidence to support a claim that the mean absorbency of the towels from process 2 have higher mean absorbency than the towels from process 1? Assume that the standard deviations are known, a = 0.05. Determine the value of the test statistic. Suppose that the hypotheses are Ho: 41 - Hz = Ao = 0versus H1: H1 - 42 < 0. Round your answer to four decimal places (e.g. 98.7654). Zo = Determine the condition needed to claim that the mean absorbency of the towels from process 2 exceeds that of process 1. Round your answer to three decimal places (e.g. 98.765). eTextbook and Media What level of type l error would you consider appropriate for this problem? O The probability of type l error that is appropriate should be close to 0.5. O The probability of type l error that is appropriate should be close to 1. The probability of type l error that is appropriate should be close to 0. O The probability of type l error that is appropriate depends on the relationships between the processes.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Let us suppose that we have a book, which provides data on the absorbency of paper towels that were produced by two different
manufacturing processes. From process 1, the sample size was 10 and had a mean and standard deviation of 190 and 15, respectively.
From process 2, the sample size was 4 with a mean and standard deviation of 300 and 44, respectively.
Is there evidence to support a claim that the mean absorbency of the towels from process 2 have higher mean absorbency than the
towels from process 1? Assume that the standard deviations are known, a = 0.05.
Determine the value of the test statistic. Suppose that the hypotheses are Ho: H1 - H2 = 40 = 0versus H1: 41 – 2 < 0.
Round your answer to four decimal places (e.g. 98.7654).
Determine the condition needed to claim that the mean absorbency of the towels from process 2 exceeds that of process 1.
Round your answer to three decimal places (e.g. 98.765).
eTextbook and Media
What level of typel error would you consider appropriate for this problem?
O The probability of type l error that is appropriate should be close to 0.5.
O The probability of type l error that is appropriate should be close to 1.
O The probability of type l error that is appropriate should be close to 0.
O The probability of type l error that is appropriate depends on the relationships between the processes.
Transcribed Image Text:Let us suppose that we have a book, which provides data on the absorbency of paper towels that were produced by two different manufacturing processes. From process 1, the sample size was 10 and had a mean and standard deviation of 190 and 15, respectively. From process 2, the sample size was 4 with a mean and standard deviation of 300 and 44, respectively. Is there evidence to support a claim that the mean absorbency of the towels from process 2 have higher mean absorbency than the towels from process 1? Assume that the standard deviations are known, a = 0.05. Determine the value of the test statistic. Suppose that the hypotheses are Ho: H1 - H2 = 40 = 0versus H1: 41 – 2 < 0. Round your answer to four decimal places (e.g. 98.7654). Determine the condition needed to claim that the mean absorbency of the towels from process 2 exceeds that of process 1. Round your answer to three decimal places (e.g. 98.765). eTextbook and Media What level of typel error would you consider appropriate for this problem? O The probability of type l error that is appropriate should be close to 0.5. O The probability of type l error that is appropriate should be close to 1. O The probability of type l error that is appropriate should be close to 0. O The probability of type l error that is appropriate depends on the relationships between the processes.
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