Question: A sample offifth-grade classes was studied in an article. One of the variables collected was the class size in terms ofstudent-to-faculty ratio. Thestudent-to-faculty ratios of
A sample offifth-grade classes was studied in an article. One of the variables collected was the class size in terms ofstudent-to-faculty ratio. Thestudent-to-faculty ratios of the 84 fifth-grade classes sampled have a mean of 13.23 and a standard deviation of 2.21. Complete parts(a) through(d) below.
a. Construct the graph shown below.
x
x3s
x2s
xs
x
x+s
x+2s
x+3s
A horizontal x-axis has 7 equally spaced tick marks with the following labels, from left to right: x bar - 3 s, x bar - 2 s, x bar - s, x bar, x bar + s, x bar + 2 s, x bar + 3 s.
x3s
=
6.6
6.6
x+s
=
15.44
15.44
x2s
=
8.81
8.81
x+2s
=
17.65
17.65
xs
=
11.02
11.02
x+3s
=
19.86
19.86
x
=
13.23
13.23
(Type integers or decimals. Do notround.)
b. Apply Property 1 of the empirical rule to make pertinent statements about the observations in the sample.
At least
out of
nothing
fifth-grade classes sampled havestudent-to-faculty ratios between
nothing
and
nothing
.
(Type integers or decimals. Do notround.)
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