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5. The thicknesses of n = 41 glass sheets made using process A are mea- sured and the statistics = 3.04 mm and sx = 0.124 mm are obtained. In addition, the thicknesses of m= 41 glass sheets made using process B are measured and the statistics y = 3.12 mm and sy = 0.137 mm are obtained. Assuming that the two population variances are equal, answer the following questions. a) Does a two-sided hypothesis test with size a = 0.01 accept or reject the null hypothesis that the two processes produce glass sheets with equal thicknesses on average? b) What is a two-sided 99% confidence interval for the difference in the average thicknesses of sheets produced by the two processes? c) Is there enough evidence to conclude that the average thicknesses. of sheets produced by the two processes are different? d) Construct a 90% confidence interval for the ratio of the variances of the thicknesses of glass sheets produced by the two processes.

5. The thicknesses of n = 41 glass sheets made using process A are mea- sured and the statistics = 3.04 mm and sx = 0.124 mm are obtained. In addition, the thicknesses of m= 41 glass sheets made using process B are measured and the statistics y = 3.12 mm and sy = 0.137 mm are obtained. Assuming that the two population variances are equal, answer the following questions. a) Does a two-sided hypothesis test with size a = 0.01 accept or reject the null hypothesis that the two processes produce glass sheets with equal thicknesses on average? b) What is a two-sided 99% confidence interval for the difference in the average thicknesses of sheets produced by the two processes? c) Is there enough evidence to conclude that the average thicknesses. of sheets produced by the two processes are different? d) Construct a 90% confidence interval for the ratio of the variances of the thicknesses of glass sheets produced by the two processes.

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
Section10.4: Distributions Of Data
Problem 19PFA
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5. The thicknesses of n = 41 glass sheets made using process A are mea- sured and the statistics = 3.04 mm and sx = 0.124 mm are obtained. In addition, the thicknesses of m = 41 glass sheets made using process B are measured and the statistics y = 3.12 mm and sy = 0.137 mm are obtained. Assuming that the two population variances are equal, answer the following questions. a) Does a two-sided hypothesis test with size a = 0.01 accept or reject the null hypothesis that the two processes produce glass sheets with equal thicknesses on average? b) What is a two-sided 99% confidence interval for the difference in the average thicknesses of sheets produced by the two processes? c) Is there enough evidence to conclude that the average thicknesses of sheets produced by the two processes are different? d) Construct a 90% confidence interval for the ratio of the variances of the thicknesses of glass sheets produced by the two processes.
Transcribed Image Text:5. The thicknesses of n = 41 glass sheets made using process A are mea- sured and the statistics = 3.04 mm and sx = 0.124 mm are obtained. In addition, the thicknesses of m = 41 glass sheets made using process B are measured and the statistics y = 3.12 mm and sy = 0.137 mm are obtained. Assuming that the two population variances are equal, answer the following questions. a) Does a two-sided hypothesis test with size a = 0.01 accept or reject the null hypothesis that the two processes produce glass sheets with equal thicknesses on average? b) What is a two-sided 99% confidence interval for the difference in the average thicknesses of sheets produced by the two processes? c) Is there enough evidence to conclude that the average thicknesses of sheets produced by the two processes are different? d) Construct a 90% confidence interval for the ratio of the variances of the thicknesses of glass sheets produced by the two processes.
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