The deflection temperature under load for two different types of plastic pipes is being investigated. Two random samples of n=16 pipe specimens are tested, and the deflection temperatures observed. i.e. n1 = n2 = 16. The sample mean deflection %3D temperature for the type 1 specimens is ¤1 = 198.6 with a standard deviation of s1 = 23.9. The sample mean deflection temperature for the type 2 specimens is 2 = 193.6 with a standard deviation of s2 = 24.5. It is reasonable to assume the population %3D variances are equal and the populations are approximately normal. Calculate the value of the test statistic for the pooled t-test. Enter your answer to two decimal places. Note: you will have to calculate the value in steps. First, you will need to calculate the (21–1)s+(n2–1)s V pooled standard deviation s, and then use that in the test nị+n2-2 statistic formula t = Sp V n1

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The deflection temperature under load for two different types of plastic pipes is being
investigated. Two random samples of n=16 pipe specimens are tested, and the
deflection temperatures observed. i.e. n1 = n2 = 16. The sample mean deflection
temperature for the type 1 specimens is ¤1 = 198.6 with a standard deviation of s1
23.9. The sample mean deflection temperature for the type 2 specimens is 2 = 193.6
with a standard deviation of s2 = 24.5. It is reasonable to assume the population
%3D
%3D
variances are equal and the populations are approximately normal. Calculate the value of
the test statistic for the pooled t-test. Enter your answer to two decimal places.
Note: you will have to calculate the value in steps. First, you will need to calculate the
(21 –1)s+(n2–1)s
V
pooled standard deviation s,
and then use that in the test
nị+n2-2
statistic formula t =
Sp V n1
Transcribed Image Text:The deflection temperature under load for two different types of plastic pipes is being investigated. Two random samples of n=16 pipe specimens are tested, and the deflection temperatures observed. i.e. n1 = n2 = 16. The sample mean deflection temperature for the type 1 specimens is ¤1 = 198.6 with a standard deviation of s1 23.9. The sample mean deflection temperature for the type 2 specimens is 2 = 193.6 with a standard deviation of s2 = 24.5. It is reasonable to assume the population %3D %3D variances are equal and the populations are approximately normal. Calculate the value of the test statistic for the pooled t-test. Enter your answer to two decimal places. Note: you will have to calculate the value in steps. First, you will need to calculate the (21 –1)s+(n2–1)s V pooled standard deviation s, and then use that in the test nị+n2-2 statistic formula t = Sp V n1
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