As an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Assume the normal distrib --including answers submitted in WebAssign.) Milliliters of Water in the Bottle Frequency 485 490 495 500 505 510 515 What is the mean (in milliliters)? milliliters 500 What is the standard deviation (in milliliters)? 11.3557 x milliliters What is the z value corresponding to 495 milliliters? 2047025 x Referring to this table, determine the A value. A=0.1808 19 222 22 23 30 45 29 24 20 Determine the probability that a bottle would be filled with less than 495 milliliters. probability 0.6808 x

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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#9 I really need this fixed in excel if possible please. I'm not familiar with R coding yet. 

 

As an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Assume the normal distrib
-including answers submitted in WebAssign.)
Milliliters of Water in the Bottle Frequency
Milliliters of
Water in the
bottle
485
x
485
490
495
500
505
510
515
#'s
490
495
What is the mean (in milliliters)?
500
✔milliliters
What is the standard deviation (in milliliters)?
11.3557
X milliliters
Refer to tables
in problem
examples for A Mean
Z
A₂1
P
500
What is the z value corresponding to 495 milliliters?
z = -0.47025
505
510
515
19
23
30
45
29
24
20
Referring to this table, determine the A value.
A= 0.1808
X
Determine the probability that a bottle would be filled with less than 495 milliliters.
probability 0.6808
x
500.34
19
-0.470246702
23
0.1808
0.6808
30
45
Frequency (Mean) x*f xbar x-xbar (x-xbar)²*f
9215 500.34 -15.34 4472.092556
11270 500.34 -10.34 2459.953247
-5.34 856.0705676
-0.34 5.259697567
4.66 629.2442837
9.66 2238.702608
14.66 4297.209438
14850 500.34
22500 500.34
14645 500.34
12240 500.34
10300 500.34
29
24
20
standard
deviation
11.3557
Answers I currently
have in excel
Milliliters of Water in the
bottle
485
490
495
500
505
510
515
Refer to tables in problem
examples for A #'s
Frequency
19
23
30
45
29
24
20
Mean
Z
A₂1
Р
(Mean) xf
=A144 8144
=A145 B145
=A146*B146
=A147 B147
=A148 B148
=A149 8149
=A150 B150
500.34188034188
=(495-500.34)/F152
0.1808
20.510154
xbar
x-xbar
-SUM(C$52:C$58)/117-A144-D144
-SUM(C$52:C$58)/117=A145-D145
=SUM(C$52:C$58)/117-A146-D146
-SUM(C$52:C$58)/117=A147-D147
-SUM(C$52:C$58)/117=A148-D148
-SUM(C$52:C$58)/117-A149-D149
-SUM(C$52:C$58)/117=A150-D150
(x-xbar) f
=E144^2 8144
=E145^2*8145
=E146^2 B146
=E147^2*B147
=E148^2*8148
=E149^2 8149
=E150^2*8150
standard deviation SQRT(SUM(F
Formulas placed in
Transcribed Image Text:As an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Assume the normal distrib -including answers submitted in WebAssign.) Milliliters of Water in the Bottle Frequency Milliliters of Water in the bottle 485 x 485 490 495 500 505 510 515 #'s 490 495 What is the mean (in milliliters)? 500 ✔milliliters What is the standard deviation (in milliliters)? 11.3557 X milliliters Refer to tables in problem examples for A Mean Z A₂1 P 500 What is the z value corresponding to 495 milliliters? z = -0.47025 505 510 515 19 23 30 45 29 24 20 Referring to this table, determine the A value. A= 0.1808 X Determine the probability that a bottle would be filled with less than 495 milliliters. probability 0.6808 x 500.34 19 -0.470246702 23 0.1808 0.6808 30 45 Frequency (Mean) x*f xbar x-xbar (x-xbar)²*f 9215 500.34 -15.34 4472.092556 11270 500.34 -10.34 2459.953247 -5.34 856.0705676 -0.34 5.259697567 4.66 629.2442837 9.66 2238.702608 14.66 4297.209438 14850 500.34 22500 500.34 14645 500.34 12240 500.34 10300 500.34 29 24 20 standard deviation 11.3557 Answers I currently have in excel Milliliters of Water in the bottle 485 490 495 500 505 510 515 Refer to tables in problem examples for A #'s Frequency 19 23 30 45 29 24 20 Mean Z A₂1 Р (Mean) xf =A144 8144 =A145 B145 =A146*B146 =A147 B147 =A148 B148 =A149 8149 =A150 B150 500.34188034188 =(495-500.34)/F152 0.1808 20.510154 xbar x-xbar -SUM(C$52:C$58)/117-A144-D144 -SUM(C$52:C$58)/117=A145-D145 =SUM(C$52:C$58)/117-A146-D146 -SUM(C$52:C$58)/117=A147-D147 -SUM(C$52:C$58)/117=A148-D148 -SUM(C$52:C$58)/117-A149-D149 -SUM(C$52:C$58)/117=A150-D150 (x-xbar) f =E144^2 8144 =E145^2*8145 =E146^2 B146 =E147^2*B147 =E148^2*8148 =E149^2 8149 =E150^2*8150 standard deviation SQRT(SUM(F Formulas placed in
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