Question

The tensile strength of silicone rubber is thought to be a function of curing temperature. A study was carried out in which samples of 12 specimens of the rubber were prepared using curing temperatures of 20◦C and 45◦C. The data below show the tensile strength values in megapascals.(20 C) 2.07 2.14 2.22 2.03 2.21 2.03 2.05 2.18 2.09 2.14 2.11 2.05(45 C) 2.52 2.15 2.49 2.03 2.37 2.05 1.99 2.42 2.08 2.42 2.29 2.01(a) Show the dot plot of the data with both low and high temperature tensile strength value(b) Compute sample mean tensile strength for both samples

Answer 1

Answer:

Sample mean tensile strength for 20°C $\bar X_{20} =2.11$Mp

Sample mean tensile strength for 45°C $\bar X_{45} =2.235$Mp

Step-by-step explanation:

A dot plot for combined data allows comparison between the responses of an experiment to two or more independent factors. In this case there are 12 experimental observations of tensile strength on silicone rubber for two levels of the curing temperature factor (30°C and 45°C)

The sample mean can be calculated by:

$\bar X_{20} = \frac{1}{n}\sum{x_i}=2.11$Mp

$\bar X_{45} = \frac{1}{n}\sum{x_i}=2.235$Mp

The dot plot can be observed in the attached file.