In: Math
QUESTION: Suppose you work in the quality assurance department of a chemical processing plant and it is your responsibility to ascertain whether the viscosity of a certain chemical remains within a prescribed limit. To that end you measure fluid samples using a viscometer.
a. The viscosities of a sample of 10 fluids processed during the day shift were measured to have the following results (Pa.s): 71, 45, 54, 75, 50, 49, 63, 55, 48, 50. Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence.
b. You then proceed to the measure the viscosities of a sample of 10 fluids processed during the night shift. You obtain the following measurements (Pa.s): 73, 45, 59, 75, 53, 58, 72, 54, 42, 52. Determine the range within which the true mean of the fluid samples from the night shift will be with a 95% confidence.
c. Can you state with a 95% probability that the viscosity of the fluid being produced during the day shift is different than the night shift? Frame your response in the form of a hypothesis test.


You can use data analysis tool
-> 2 tail t test in Data tab in excel for finding tstat and
pvalue