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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 11PPS
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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
Transcribed Image Text: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
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