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The deflection temperature under load for two different types of plastic pipe is being investigated. Two random samples of 12 pipe specimens are tested, and the deflection temperatures observed are as follows (in °F): Type-1 206 188 205 187 | 195 | 192 185 213 192 194 178 | 205 Type-2 177 197 206 201 180 | 176 185 200 | 197 | 193 198 | 188 a. Assuming the variances of two types are equal, do the data support the claim that the deflection temperature under load for type 1 pipe exceeds that of type 2 at 5 % level of significance? b. Check the assumption of equality of variance at 5% level of significance. c. Find the 95% confidence interval for the difference between the two means. d. Check the results obtained in part a),b) and c} using Rstudio. Write your conclusion based on the p value obtained in RStudio.

The deflection temperature under load for two different types of plastic pipe is being investigated. Two random samples of 12 pipe specimens are tested, and the deflection temperatures observed are as follows (in °F): Type-1 206 188 205 187 | 195 | 192 185 213 192 194 178 | 205 Type-2 177 197 206 201 180 | 176 185 200 | 197 | 193 198 | 188 a. Assuming the variances of two types are equal, do the data support the claim that the deflection temperature under load for type 1 pipe exceeds that of type 2 at 5 % level of significance? b. Check the assumption of equality of variance at 5% level of significance. c. Find the 95% confidence interval for the difference between the two means. d. Check the results obtained in part a),b) and c} using Rstudio. Write your conclusion based on the p value obtained in RStudio.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The deflection temperature under load for two different types of plastic pipe is being investigated. Two random samples of 12 pipe specimens are tested, and the deflection temperatures observed are as follows (in °F): Type-1 206 188 205 187 195 192 185 213 192 194 178 205 Type-2 177 197 206 201 180 | 176 185 200 | 197 193 198 188 a. Assuming the variances of two types are equal, do the data support the claim that the deflection temperature under load for type 1 pipe exceeds that of type 2 at 5 % level of significance? b. Check the assumption of equality of variance at 5% level of significance. c. Find the 95% confidence interval for the difference between the two means. d. Check the results obtained in part a),b) and c} using Rstudio. Write your conclusion based on the p value obtained in RStudio.
Transcribed Image Text:The deflection temperature under load for two different types of plastic pipe is being investigated. Two random samples of 12 pipe specimens are tested, and the deflection temperatures observed are as follows (in °F): Type-1 206 188 205 187 195 192 185 213 192 194 178 205 Type-2 177 197 206 201 180 | 176 185 200 | 197 193 198 188 a. Assuming the variances of two types are equal, do the data support the claim that the deflection temperature under load for type 1 pipe exceeds that of type 2 at 5 % level of significance? b. Check the assumption of equality of variance at 5% level of significance. c. Find the 95% confidence interval for the difference between the two means. d. Check the results obtained in part a),b) and c} using Rstudio. Write your conclusion based on the p value obtained in RStudio.
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