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...


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

Extracted 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="">

Jun 07, 2022
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