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): Туре-1 206 188 205 187 195 192 185 213| 192 | 194| 178 205 Туре-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.

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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):
Туре-1
206 188 205 187| 195| 192 185 213 192| 194
178 205
Туре-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.
С.
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): Туре-1 206 188 205 187| 195| 192 185 213 192| 194 178 205 Туре-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. С.
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