You work for a company that makes an adhesive gel that is sold in small jars. The viscosity of the gel is important: if it is too thick it is difficult to apply, but if it is too thin the adherence is affected. Recently, it has received feedback from some dissatisfied customers, they have complained that the viscosity of the adhesive is not as consistent as before. Your boss asks you to investigate the matter. You decide that it would be a good idea to start by examining the average viscosity of the five most recent production batches. If you find differences between batches, this would confirm that the problem is real. It would also help you start to hypothesize about factors that might be causing inconsistencies between batches. To measure viscosity, he uses an instrument that rotates a rotor submerged in the jar of adhesive. This test produces a measurement called torsion resistance. He tests five jars chosen at random from each of the five most recent batches. Obtains the measurement of the torsion resistance of each jar and plots the data on a graph. Determine the descriptive statistics of the sample. Does the sample have a normal distribution? Explain why. State the statistical hypotheses: H0 and HA. Determine the α Is this test one or two tailed? What statistical conclusion did you reach regarding the question being evaluated? Lote 1 Lote 2 Lote 3 Lote 4 Lote 5 Jar 1 29.39 30.63 27.16 31.03 29.67 Jar 2 31.51 32.1 26.63 30.98 29.32 Jar 3 30.88 30.11 25.31 28.95 26.87 jar 4 27.63 29.63 27.66 31.45 31.59 Jar 5 28.85 29.68 27.1 29.7 29.41

Question

You work for a company that makes an adhesive gel that is sold in small jars. The viscosity of the gel is important: if it is too thick it is difficult to apply, but if it is too thin the adherence is affected. Recently, it has received feedback from some dissatisfied customers, they have complained that the viscosity of the adhesive is not as consistent as before. Your boss asks you to investigate the matter.

You decide that it would be a good idea to start by examining the average viscosity of the five most recent production batches. If you find differences between batches, this would confirm that the problem is real. It would also help you start to hypothesize about factors that might be causing inconsistencies between batches. To measure viscosity, he uses an instrument that rotates a rotor submerged in the jar of adhesive. This test produces a measurement called torsion resistance. He tests five jars chosen at random from each of the five most recent batches. Obtains the measurement of the torsion resistance of each jar and plots the data on a graph.

Determine the descriptive statistics of the sample.
Does the sample have a normal distribution? Explain why.
State the statistical hypotheses: H0 and HA.
Determine the α
Is this test one or two tailed?
What statistical conclusion did you reach regarding the question being evaluated?

	Lote 1	Lote 2	Lote 3	Lote 4	Lote 5
Jar 1	29.39	30.63	27.16	31.03	29.67
Jar 2	31.51	32.1	26.63	30.98	29.32
Jar 3	30.88	30.11	25.31	28.95	26.87
jar 4	27.63	29.63	27.66	31.45	31.59
Jar 5	28.85	29.68	27.1	29.7	29.41