Question

# 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 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 Frequency 0 1 2 3 4 5 8 11 10 7 13 8

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 Frequency 4 5 6 7 8 9 10 8 11 7 4 16 9 7

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?

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

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