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 αIs this test one or two tailed?What statistical conclusion did you reach regarding the question being evaluated? Lote 1Lote 2Lote 3Lote 4Lote 5Jar 129.3930.6327.1631.0329.67Jar 231.5132.126.6330.9829.32Jar 330.8830.1125.3128.9526.87jar 427.6329.6327.6631.4531.59Jar 528.8529.6827.129.729.41 2354DO89162425ClipboardJar 1Jar ¹jar 4Jar 5Lote 129.39 30.6332.130.1130.88CLote ¹ Lote 3 Lote 4Font29.6827.1631.0326.6330.9825.31 28.9527.6627.1Lote 529.6729.3226.8731.59G21H1AlignmentPYou 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 receivedfeedback from some dissatisfied customers, they have complained that the viscosity of the adhesive is not asconsistent 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 recentproduction batches. If you find differences between batches, this would confirm that the problem is real. It wouldalso help you start to hypothesize about factors that might be causing inconsistencies between batches. Tomeasure viscosity, he uses an instrument that rotates a rotor submerged in the jar of adhesive. This test producesa measurement called torsion resistance. He tests five jars chosen at random from each of the five most recentbatches. Obtains the measurement of the torsion resistance of each jar and plots the data on a graph.1. Determine the descriptive statistics of the sample.2. Does the sample have a normal distribution? Explain why.3. State the statistical hypotheses: HO and HA4. Determine the a5. Is this test one or two tailed?6. What statistical conclusion did you reach regarding the question being evaluated?Number0Form

By comparing the viscosity measurements of randomly selected jars from each batch, we aim to…

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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

2
3
54
DO
8
9
16
24
25
Clipboard
Jar 1
Jar ¹
jar 4
Jar 5
Lote 1
29.39 30.63
32.1
30.11
30.88
C
Lote ¹ Lote 3 Lote 4
Font
29.68
27.16
31.03
26.63
30.98
25.31 28.95
27.66
27.1
Lote 5
29.67
29.32
26.87
31.59
G
21
H
1
Alignment
P
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.
1. Determine the descriptive statistics of the sample.
2. Does the sample have a normal distribution? Explain why.
3. State the statistical hypotheses: HO and HA
4. Determine the a
5. Is this test one or two tailed?
6. What statistical conclusion did you reach regarding the question being evaluated?
Number
0
Form

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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