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4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be changed. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed?

4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be changed. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be Uchanged. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed? 5. A bolt manufacturer makes a type of bolt to be used in airtight containers. The manufacturer claims that the variance of the bolt widths is at most 0.01. A random sample of 28 bolts has a variance of 0.064. At a = 0.005, is there enough evidence to reject the claim? 6. The effects of two catalysts on the mean yield of a chemical process are being investigated. A test is conducted in the pilot plant, yielding the data reported in Table 1. Is there any difference between the mean yields from the two catalyst at the 5% significance level? Assume the two population variances are equal. Table 1 Observation Catalyst 1 Catalyst 2 1 91.50 89.19 2 94.18 90.95 3 92.18 90.46 4 95.39 93.21 5 91.79 97.19 6 89.07 97.04 94.72 91.07 89.21 92.75 7 8
Transcribed Image Text:4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be Uchanged. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed? 5. A bolt manufacturer makes a type of bolt to be used in airtight containers. The manufacturer claims that the variance of the bolt widths is at most 0.01. A random sample of 28 bolts has a variance of 0.064. At a = 0.005, is there enough evidence to reject the claim? 6. The effects of two catalysts on the mean yield of a chemical process are being investigated. A test is conducted in the pilot plant, yielding the data reported in Table 1. Is there any difference between the mean yields from the two catalyst at the 5% significance level? Assume the two population variances are equal. Table 1 Observation Catalyst 1 Catalyst 2 1 91.50 89.19 2 94.18 90.95 3 92.18 90.46 4 95.39 93.21 5 91.79 97.19 6 89.07 97.04 94.72 91.07 89.21 92.75 7 8
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