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In: Statistics and Probability

The deflection temperature under load for two different types of plastic pipe is being investigated. Two...

  1. The deflection temperature under load for two different types of plastic pipe is being investigated. Two random samples of 15 pipe specimens are tested, and the deflection temperatures observed (in Fahrenheit) are:

Type_01:             206         188         205         187         194         193         207         185         189         213         192         210       194         178         205

Type_02:             177        197         206         201         180         176         185         200         197         192         198         188 189         203         192

The experiment was set up to test if the true mean deflection temperature under load for Type_01 pipe is significantly lesser than that of Type_02. Assume that the data are independent.

  1. What is the type of statistical test procedure that should be used to test the hypotheses? Explain.

  1. Construct a 95% confidence interval for the true mean difference. Test the hypotheses using the confidence interval. Interpret the test result clearly.

  1. Test the hypotheses using the Test Statistic / Critical Value method (you must clearly indicate the test statistic, and the critical value(s) use Take α=5%). Do you get the same answer as part (c)? If your answer is the same as (c), you do not have to interpret again. Otherwise, interpret the test findings.

  1. What is the P value of the test? Test the hypotheses using the P value. Take α=5%. Do you get the same answer as parts (c) and (d)? If your answer is the same as (c) and (d), you do not have to interpret again. Otherwise, interpret the test findings.

Solutions

Expert Solution

To test the means of two independent population t test for two population means is appropriate.

Let X1: The deflection temperature under load for type I piped

X2: deflection temperature under load for type 2 pipe

the true mean difference in temperature of typen1 and type 2 pipe 95% of the time will fall within -3. 126 to 11.792

it may concluded that there is no significant difference between mean temperature of type 1 and type3 pipes.

I have given my best to solve your problem. Please like the answer if you are satisfied with it. ?

orchestra answered 1 year ago
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