A.Construct a 90% confidence interval estimate of the mean tear rating for all bags of coffee when the plate gap is 0B. Construct a 90% prediction interval of the tear rating for an individual bag of coffee when the plate gap is 0 When survey data indicated that a coffee company needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bags without tearing the inner liner of the bag.Data were collected on 19 bags and the plate gap on the bag-sealing equipment was used to predict the tear rating of a bag. Complete parts (a) through (c).Click the icon to view the data table.a. Construct a 90% confidence interval estimate of the mean tear rating for all bags of coffee when the plate gap is 0.] ≤HY|X=0³ [(Type integers or decimals. Round to three decimal places as needed. Use ascending order.)~Data tableBag12345678910111213141516171819Plate gap(X)0-0.301.502.10- 0.300.300.300.000.00- 1.50- 1.502.70-2.10- 0.30- 3.00-2.101.502.100.30PrintTear rating(Y)0.050.010.430.810.330.380.781.980.240.180.153.820.040.590.040.090.494.110.02DoneO- X

The data is,BagPlate gap Tear rating…

Answered: A.Construct a 90% confidence interval…

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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A.Construct a 90% confidence interval estimate of the mean tear rating for all bags of coffee when the plate gap is 0

B. Construct a 90% prediction interval of the tear rating for an individual bag of coffee when the plate gap is 0

When survey data indicated that a coffee company needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bags without tearing the inner liner of the bag.
Data were collected on 19 bags and the plate gap on the bag-sealing equipment was used to predict the tear rating of a bag. Complete parts (a) through (c).
Click the icon to view the data table.
a. Construct a 90% confidence interval estimate of the mean tear rating for all bags of coffee when the plate gap is 0.
] ≤HY|X=0³ [
(Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
~
Data table
Bag
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
Plate gap
(X)
0
-0.30
1.50
2.10
- 0.30
0.30
0.30
0.00
0.00
- 1.50
- 1.50
2.70
-2.10
- 0.30
- 3.00
-2.10
1.50
2.10
0.30
Print
Tear rating
(Y)
0.05
0.01
0.43
0.81
0.33
0.38
0.78
1.98
0.24
0.18
0.15
3.82
0.04
0.59
0.04
0.09
0.49
4.11
0.02
Done
O
- X

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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