Question

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 above 34 ? %

Answer #1

A) According to empirical rule, 95% of widget weight lie within first two standard deviation, I.e. ( mu -+ 2*sigma)

Where mu is mean and sigma is standard deviation.

38-2(4) and 38 +2(4)

30 and 46

Thus 95% of widget weight lies between 30 and 46 ounces.

B) Let X denote widget weight

P ( 26<X<46) = P( (26-38)/4 < Z < (46-38)/4)

= P(-3< Z< 2)

= 0.9759

Thus 97.59% of weight lie between 26 and 46 ounce.

C) P(X>34) = P( Z > (34-38)/4)

= P( Z > -1)

= 0.84134

Thus 84.13% of weight lie above 34

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 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 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? %

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...

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 63
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) 99.7% of the widget weights lie between and
b) What percentage of the widget weights lie between 57 and 81
ounces? %
c) What percentage of the widget weights lie above 51...

he 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 8 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 32 and 64
ounces? %
c) What percentage of the widget weights lie...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 3 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 28 minutes ago

asked 39 minutes ago

asked 39 minutes ago

asked 48 minutes ago

asked 52 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago