Question

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped with a mean of 44 ounces and a standard deviation of 6 ounces. Using the Empirical Rule, answer the following questions. Suggestion: Sketch the distribution.

a) 95% of the widget weights lie between ? and ?

b) What percentage of the widget weights lie between 38 and 56 ounces? %

c) What percentage of the widget weights lie below 62? %

Answer #1

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 56
ounces and a standard deviation of 6 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 50 and 68
ounces? %
c) What percentage of the widget weights lie below 74...

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 62
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 a and b
b) What percentage of the widget weights lie between 55 and 76
ounces?
c) What percentage of the widget weights...

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 38
ounces and a standard deviation of 4 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 26 and 46 ounces? % c) What percentage
of the widget weights lie...

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped with a mean of 54 ounces and a
standard deviation of 4 ounces. Using the Empirical Rule, answer
the following questions. Suggestion: Sketch the distribution.
a) 99.7% of the widget weights lie between ? and ?
b) What percentage of the widget weights lie between 46 and 66
ounces? %
c) What percentage of the widget weights lie below 58? %

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 56
ounces and a standard deviation of 9 ounces.
Use the Empirical Rule and a sketch of the normal distribution in
order to answer these questions.
a) 68% of the widget weights lie between and
b) What percentage of the widget weights lie between 38 and 65
ounces? %
c) What percentage of the widget weights lie below 65
? %

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 54
ounces and a standard deviation of 8 ounces. Use the 68-95-99.7
rule (also known as the Empirical Rule). Suggestion: sketch the
distribution in order to answer these questions. a) 99.7% of the
widget weights lie between and b) What percentage of the widget
weights lie between 46 and 78 ounces? % c) What percentage of the
widget weights lie below...

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 58
ounces and a standard deviation of 10 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 48 and 78
ounces? %
c) What percentage of the widget weights lie above 28...

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 61
ounces and a standard deviation of 3 ounces. Use the Standard
Deviation Rule, also known as the Empirical Rule. Suggestion:
sketch the distribution in order to answer these questions.
a) 99.7% of the widget weights lie between and
b) What percentage of the widget weights lie between 58 and 70
ounces? %
c) What percentage of the widget weights lie...

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 10 ounces.
Use the Standard Deviation Rule, also known as the Empirical
Rule.
Suggestion: sketch the distribution in order to answer these
questions.
a) 68% of the widget weights lie between ___ and ____
b) What percentage of the widget weights lie between 9 and 49
ounces?
c) What percentage of the widget weights...

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 58
ounces and a standard deviation of 11 ounces.
Use the Standard Deviation Rule, also known as the Empirical
Rule.
Suggestion: sketch the distribution in order to answer these
questions.
a) 68% of the widget weights lie between and
b) What percentage of the widget weights lie between 25 and 69
ounces? %
c) What percentage of the widget weights lie above 36...

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