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