A new type of fabric is claimed to be wrinkle-free. There are other wrinkle-free fabrics in the market, but how can these be compared? Comparison is done by measuring the wrinkle recovery angle (WRA) of the fabric, in degrees. Higher is better. The current top brand in the market claims that their fabrics have a WRA of 141 degrees on the average. A sample of fabrics from the new type were subjected to tests in order to measure their WRA and the following observations were obtained: 137 141 144 144 137 135 146 138 141 139 146 139 140 142 140 Test the hypothesis that the population mean of the WRAs of the new type of fabric exceeds that of the current top brand. Use a = 0.05. 1. Test Stat: 2. Critical Region: a. T< -2.14 b. T> 1.761 c. T> abs (2.145) d. T> 2.14 3. Conclusion: At 5% level of significance a. the new type of fabric does not exceed the WRA of the top current brand b. the new type of fabric exceeds the WRA of the top current brand

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Answer the following problem about hypothesis testing with up to four decimal places.

A new type of fabric is claimed to be wrinkle-free. There are other wrinkle-free fabrics
in the market, but how can these be compared? Comparison is done by measuring
the wrinkle recovery angle (WRA) of the fabric, in degrees. Higher is better. The
current top brand in the market claims that their fabrics have a WRA of 141 degrees
on the average. A sample of fabrics from the new type were subjected to tests in
order to measure their WRA and the following observations were obtained:
137
141
144
144
137
135
146
138
141
139
146
139
140
142
140
Test the hypothesis that the population mean of the WRAs of the new type of fabric
exceeds that of the current top brand. Use a = 0.05.
1. Test Stat:
2. Critical Region:
a. T< -2.14
b. T> 1.761
c. T> abs (2.145)
d. T> 2.14
3. Conclusion: At 5% level of significance
a. the new type of fabric does not exceed the WRA of the top current brand
b. the new type of fabric exceeds the WRA of the top current brand
Transcribed Image Text:A new type of fabric is claimed to be wrinkle-free. There are other wrinkle-free fabrics in the market, but how can these be compared? Comparison is done by measuring the wrinkle recovery angle (WRA) of the fabric, in degrees. Higher is better. The current top brand in the market claims that their fabrics have a WRA of 141 degrees on the average. A sample of fabrics from the new type were subjected to tests in order to measure their WRA and the following observations were obtained: 137 141 144 144 137 135 146 138 141 139 146 139 140 142 140 Test the hypothesis that the population mean of the WRAs of the new type of fabric exceeds that of the current top brand. Use a = 0.05. 1. Test Stat: 2. Critical Region: a. T< -2.14 b. T> 1.761 c. T> abs (2.145) d. T> 2.14 3. Conclusion: At 5% level of significance a. the new type of fabric does not exceed the WRA of the top current brand b. the new type of fabric exceeds the WRA of the top current brand
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