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A photoconductor film is manufactured at a nominal thickness of 0.65 mm. The product engineer wishes to increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to 0.5 mm. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square cm) is measured. For the 0.65mm film, the sample data result is X, =0.03 and sl = 0.0028, and for the 0.5 mm film the data yield X, = 0.028 and s2 0.0023. Note that an increase in film speed would lower the value of the observation in microjoules per square cm. a) Test Ho: o1 =02 versus H1:01 #02 using a = 0.02. %3D

A photoconductor film is manufactured at a nominal thickness of 0.65 mm. The product engineer wishes to increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to 0.5 mm. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square cm) is measured. For the 0.65mm film, the sample data result is X, =0.03 and sl = 0.0028, and for the 0.5 mm film the data yield X, = 0.028 and s2 0.0023. Note that an increase in film speed would lower the value of the observation in microjoules per square cm. a) Test Ho: o1 =02 versus H1:01 #02 using a = 0.02. %3D

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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A photoconductor film is manufactured at a nominal thickness of 0.65 mm. The product engineer wishes to increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to 0.5 mm. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square cm) is measured. For the 0.65mm film, the sample data result is X,=0.03 and sl = 0.0028, and for the 0.5 mm film the data yield X, 0.028 and s2 0.0023. Note that an increase in film speed would lower the value of the observation in microjoules per square cm. (a) Test Ho: O1 =02 versus H1: 0 02 using a = 0.02. (b) Suppose that one population standard deviation is 50% larger than the other. Is the sample size n1 = n2 = 8 adequate to detect this difference with high probability? Use a = 0.01 in answering this question. !3!
Transcribed Image Text:A photoconductor film is manufactured at a nominal thickness of 0.65 mm. The product engineer wishes to increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to 0.5 mm. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square cm) is measured. For the 0.65mm film, the sample data result is X,=0.03 and sl = 0.0028, and for the 0.5 mm film the data yield X, 0.028 and s2 0.0023. Note that an increase in film speed would lower the value of the observation in microjoules per square cm. (a) Test Ho: O1 =02 versus H1: 0 02 using a = 0.02. (b) Suppose that one population standard deviation is 50% larger than the other. Is the sample size n1 = n2 = 8 adequate to detect this difference with high probability? Use a = 0.01 in answering this question. !3!
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