Question

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 6 ounces.

a) 95% of the widget weights lie between and

b) What percentage of the widget weights lie between 39 and 69
ounces? %

c) What percentage of the widget weights lie below 63
? %

57 randomly selected students were asked how many siblings were in their family. Let X represent the number of pairs of siblings in the student's family. The results are as follows:

# of Siblings |
0 | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|---|

Frequency |
8 | 11 | 10 | 7 | 13 | 8 |

**Round all your answers to 4 decimal places where
possible.**

The mean is:

The median is:

The sample standard deviation is:

The first quartile is:

The third quartile is:

What percent of the respondents have at least 1 siblings? %

34% of all respondents have fewer than how many siblings?

62 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. The results are as follows:

# of Pairs of Shoes |
4 | 5 | 6 | 7 | 8 | 9 | 10 |
---|---|---|---|---|---|---|---|

Frequency |
8 | 11 | 7 | 4 | 16 | 9 | 7 |

**Round all your answers to 4 decimal places where
possible.**

The mean is:

The median is:

The sample standard deviation is:

The first quartile is:

The third quartile is:

What percent of the respondents have at least 9 pairs of Shoes?
%

0% of all respondents have fewer than how many pairs of Shoes?

Answer #1

1) p value can be found from Excel

=Norm.s.dist(-1.67,1) = 0.0475

=Norm.s.dist(2,1) = 0.9973

=Norm.s.dist(1,1)= 0.8413

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 6 ounces.
a) 99.7% of the widget weights lie between _________ and
___________
b) What percentage of the widget weights lie between 33 and 57
ounces? %
c) What percentage of the widget weights lie above 27 ? %

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 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 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 54
ounces and a standard deviation of 9 ounces.
Use the Empirical Rule, find
a) 68% of the widget weights lie between _____ and ______
b) What percentage of the widget weights lie between 27 and 63
ounces? _____ %
c) What percentage of the widget weights lie above 36 ? _____
%
Suggestion: sketch the distribution in order to answer...

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. 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 59
ounces and a standard deviation of 11 ounces.
a) 95% of the widget weights lie between _____ and ______.
b) What percentage of the widget weights lie between 26 and 81
ounces? _____%
c) What percentage of the widget weights lie below 70 ?
_____%

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 45
ounces and a standard deviation of 6 ounces.
Use the Empirical Rule to answer the questions.
a) 99.7% of the widget weights lie between ? and
? ounces.
b) What percentage of the widget weights lie between 33 and 63
ounces? %
c) What percentage of the widget weights lie above 39 ounces? %

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...

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