Question
In: Statistics and Probability
A widget company tested 101,000 widgets, of which only 1,000 had defects. The company’s test correctly...
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A widget company tested 101,000 widgets, of which only 1,000 had defects. The company’s test correctly identified defects 99% of the time and correctly identified non-defects 95% of the time.
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(a) What percentage of the widgets marked as defects were actually defective?
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(b) What percentage of the widgets marked as non-defects were not defective?
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(c) The answer to problem a is counter-intuitive. Explain what happened?
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(d) What would be your suggestion for improving the accuracy of the defect/non- defect identification. Improving the accuracy of the tests is not a valid answer. R-Studio
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Solutions
orchestra answered 1 year agoRelated Solutions
A widget company tested 101,000 widgets, of which only 1,000 had defects. The company’s test correctly...
A widget company tested 101,000 widgets, of which only 1,000 had
defects. The company’s test correctly identified defects 99% of the
time and correctly identified non-defects 95% of the time. 2 (a)
What percentage of the widgets marked as defects were actually
defective? (b) What percentage of the widgets marked as non-defects
were not defective? (c) The answer to problem a is
counter-intuitive. Explain what happened? (d) What would be your
suggestion for improving the accuracy of the defect/nondefect
identification....
a widget manufacturing company makes big widgets and small widgets. Each widget must processed in a...
a widget manufacturing company makes big widgets and small
widgets. Each widget must processed in a wood shop and in a paint
shop. It takes 480 minutes of process time per work day per shop.
If the paint shop paints only small widgets, then 60 can be painted
per day. If the paint shop paints large widgets only then 40 can be
painted per day. If the wood shop only process large widgets only
then it could process 50 widgets...
For the just completed year, Hanna Company had net income of $101,000. Balances in the company’s...
For the just completed year, Hanna Company had net income of
$101,000. Balances in the company’s current asset and current
liability accounts at the beginning and end of the year were as
follows:
December 31
End of Year
Beginning of Year
Current assets:
Cash and cash equivalents
$
57,000
$
81,000
Accounts receivable
$
164,000
$
192,000
Inventory
$
451,000
$
349,000
Prepaid expenses
$
12,500
$
13,500
Current liabilities:
Accounts payable
$
350,000
$
384,000
Accrued liabilities
$
8,500...
A) The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights...
A) The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 57
ounces and a standard deviation of 8 ounces.
Use the Empirical Rule and a sketch of the normal distribution in
order to answer these questions.
68% of the widget weights lie between _____?____ and
______?______
What percentage of the widget weights lie
between 41 and 65 ounces?
What percentage of the widget weights lie above 33
?
B) The...
A. Rio Group LLC manufactures two types of widgets: Widget A and Widget B. The company...
A. Rio Group LLC manufactures two types of widgets: Widget A
and Widget B. The
company has been allocating its overhead to each product using
traditional costing and direct
labor hours as the cost driver. Using the same expenses and
information, Rio Group LLC has
asked you to allocate its overhead to each product using
activity-based costing. What are the
necessary steps you will take to implement the Activity-based
costing system in his
company?
B. Reliance Chemicals Inc had targeted...
The Acme Company manufactures widgets. The distribution of widget weights is bell shaped. The widget weights...
The
Acme Company manufactures widgets. The distribution of widget
weights is bell shaped. The widget weights have a mean of 39 ounces
and a standard deviation of 4 ounces.
use the empirical rule.
A) 95% of the widget weights lie between ___ and _____
B) what percentage of the widget weights lie between 35 and 47
ounces? ______%
C) what percentage of the widget weight slide below 51?
____________%
A manufacturer of widgets wants to test a new widget-producing machine to determine if it can...
A manufacturer of widgets wants to test a new widget-producing
machine to determine if it can make an average of 20 widgets per
second before deciding to invest in the machine. The standard to
reject the new machine is if it makes an average of less than 20
widgets per second. Here are data from a small random sample:
15.6, 16.2, 22.5, 20.5, 16.4, 19.4, 19.6, 17.9, 12.7, 14.9
Assuming the population follows a normal distribution, is there
evidence that...
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have...
The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 40
ounces and a standard deviation of 9 ounces. Use the Empirical
Rule, find a) 99.7% of the widget weights lie between and b) What
percentage of the widget weights lie between 22 and 67 ounces? % c)
What percentage of the widget weights lie below 49 ? %
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have...
The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 60
ounces and a standard deviation of 7 ounces.
Use the Standard Deviation Rule, also known as the Empirical
Rule.
Suggestion: sketch the distribution in order to answer these
questions.
a) 95% of the widget weights lie between and
b) What percentage of the widget weights lie between 53 and 74
ounces? %
c) What percentage of the widget weights lie above 39...
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have...
The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 50
ounces and a standard deviation of 5 ounces. Use the Standard
Deviation Rule, also known as the Empirical Rule. Suggestion:
sketch the distribution in order to answer these questions. a) 95%
of the widget weights lie between and b) What percentage of the
widget weights lie between 45 and 60 ounces? % c) What percentage
of the widget weights lie...
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