Question

A wholesaler has recently developed a computerized sales
invoicing system. Prior to implementing this system, a manual
system was used. The distribution of the number of errors per
invoice for the manual system is as follows:

Errors per Invoice | 0 | 1 | 2 | 3 | More Than 3 |

Percentage of Invoices | 84% | 8% | 3% | 3% | 2% |

After implementation of the computerized system, a random sample of
500 invoices gives the following error distribution:

Errors per Invoice | 0 | 1 | 2 | 3 | More Than 3 |

Number of Invoices | 466 | 16 | 10 | 4 | 4 |

pi | Ei | fi | (f – E) ^ 2/E | ||

0.84 | 420 | 466 | 5.0381 | ||

0.08 | 40 | 16 | 14.4000 | ||

0.03 | 15 | 10 | 1.6667 | ||

0.03 | 15 | 4 | 8.0667 | ||

0.02 | 10 | 4 | 3.6000 | ||

Chi-Square | 32.77150 | p-value 0.0000001096 | |||

**(a)** Show that it is appropriate to carry out a
chi-square test using these data.

Each *E _{i}* ≥

**(b)** Use the Excel output shown above to
determine whether the error percentages for the computerized system
differ from those for the manual system at the .05 level of
significance. What do you conclude?

(Click to select)RejectDo not reject *H*_{0}:
Conclude systems (Click to select)differnot differ.

Answer #1

A wholesaler has recently developed a computerized sales
invoicing system. Prior to implementing this system, a manual
system was used. The distribution of the number of errors per
invoice for the manual system is as follows:
Errors per Invoice
0
1
2
3
More Than 3
Percentage of Invoices
84%
7%
4%
3%
2%
After implementation of the computerized system, a random sample of
500 invoices gives the following error distribution:
Errors per Invoice
0
1
2
3
More Than...

A wholesaler has recently developed a computerized sales
invoicing system. Prior to implementing this system, a manual
system was used. The distribution of the number of errors per
invoice for the manual system is as follows:
Errors per Invoice
0
1
2
3
More Than 3
Percentage of Invoices
82%
8%
4%
4%
2%
After implementation of the computerized system, a random sample of
500 invoices gives the following error distribution:
Errors per Invoice
0
1
2
3
More Than...

A wholesaler has recently developed a computerized sales
invoicing system. Prior to implementing this system, a manual
system was used. The distribution of the number of errors per
invoice for the manual system is as follows:
Errors per Invoice
0
1
2
3
More Than
3
Percentage of Invoices
80%
8%
5%
4%
3%
After implementation of the computerized system, a random sample
of 500 invoices gives the following error distribution:
Errors per Invoice
0
1
2
3
More Than...

A wholesaler has
recently developed a computerized sales invoicing system. Prior to
implementing this system, a manual system was used. Historically,
the manual system produced 87% of invoices with 0 errors, 8% of
invoices with 1 error, 3% of invoices with 2 errors, 1% of invoices
with 3 errors, and 1% of invoices with more than 3 errors.
After implementation
of the computerized system, a random sample of 500 invoices showed
479 invoices with 0 errors, 10 invoices with 1...

In the past, Taylor Industries has used a fixed?time period
inventory system that involved taking a complete inventory count of
all items each month. However, increasing labor costs are forcing
Taylor Industries to examine alternative ways to reduce the amount
of labor involved in inventory stockrooms, yet without increasing
other costs, such as shortage costs. Here is a random sample of 20
of Taylor's items.
ITEM
NUMBER
ANNUAL
USAGE
ITEM
NUMBER
ANNUAL
USAGE
1
$
2,500
11
$
27,000
2...

Use the Excel output in the below table to do (1) through (6)
for each ofβ0, β1,
β2, and β3.
y = β0 +
β1x1 +
β2x2 +
β3x3 + ε
df = n – (k + 1) = 16 – (3 + 1) = 12
Excel output for the hospital labor needs case (sample size:
n = 16)
Coefficients
Standard
Error
t Stat
p-value
Lower 95%
Upper 95%
Intercept
1946.8020
504.1819
3.8613
0.0023
848.2840
3045.3201
XRay (x1)
0.0386...

Use the Excel output in the below table to do (1) through (6)
for each ofβ0, β1,
β2, and β3.
y = β0 +
β1x1 +
β2x2 +
β3x3 + ε
df = n – (k + 1) = 16 – (3 + 1) = 12
Excel output for the hospital labor needs case (sample size:
n = 16)
Coefficients
Standard
Error
t Stat
p-value
Lower 95%
Upper 95%
Intercept
1946.8020
504.1819
3.8613
0.0023
848.2840
3045.3201
XRay (x1)
0.0386...

Use Minitab to solve and illustrate the following problems. X
has a Chi-square distribution with 14 degrees of freedom.
1. P(X < 10)
2. P(X > 16)
3. P(8 < X < 17)
4. Find x so that P(X < x) = .25
5. Find x so that P(X > x) = .15
6. Find constants a and b so that P(X<a) = .1 and
P(a<X<b) = .8.
Minitab will produce a graph which illustrates and answers
problem 1. Right...

You suspect that an unscrupulous employee at a casino has
tampered with a die; that is, he is using a loaded die. In order to
test this claim, you roll the die 282 times and obtain the
following frequencies: (You may find it useful to reference the
appropriate table: chi-square table or F table)
Category 1 2 3
4 5 6
Frequency 64 57 46
38 38 39
Click here for the Excel Data File
a. Choose the...

Question 1
The travel agency Paradise Retreats has developed a model to
predict the price per night of holiday apartment rentals in the
coast of Croatia:
?=550+11?1−5?2
?: price of the apartment per night (in kunas)
?1: area of the apartment (in square meters)
?2: distance to the beach (in km)
According to Paradise Retreats’ model:
How much more expensive (in kunas) will be the rental of a 60
square-meter apartment on the beachfront compared with a 60
square-meter apartment...

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