A sample of fifth-grade classes was studied in an article. One of the variables collected was the class size in terms of student-to-faculty ratio. The student-to-faculty ratios of the 84 fifth-grade classes sampled have a mean of 16.05 and a standard deviation of 1.24. Complete parts (a) through (d) below.

a. Construct the graph shown below.

- [tex]x - 3\sigma = 12.33[/tex]
- [tex]x - 2\sigma = 13.57[/tex]
- [tex]x - \sigma = 14.81[/tex]
- [tex]x = 16.05[/tex]
- [tex]x + \sigma = 17.29[/tex]
- [tex]x + 2\sigma = 18.53[/tex]
- [tex]x + 3\sigma = 19.77[/tex]

(Type integers or decimals. Do not round.)

b. Apply Property 1 of the empirical rule to make pertinent statements about the observations in the sample.

The fifth-grade classes sampled have student-to-faculty ratios between 14.81 and 17.29.

(Type integers or decimals. Do not round.)

The student-to-faculty ratios of the 84 fifth-grade classes sampled have a mean of 16 05 and a standard deviation of 1.24 Complete parts are as:

[tex]\bar x + 3s= 16.05 + (3\times1.24)=19.77\\\bar x +2s = 16.05 +(2\times1.24)= 18.53\\\bar x +s=16.05+1.25=17.29\\\bar x -3s= 16.05-(2\times1.24)=12.33\\\bar x-2s=16.05-(2\times1.23)=13.57\\\bar x-s=16.05-1.24=1481\\\bar x= 16.05[/tex]

One of the variables collected was the class size in terms of student-to-faculty ratio. The student-to-faculty ratios of the 84 fifth-grade classes sampled have a mean of 16 05 and a standard deviation of 1.24

Given:

Mean ([tex]\bar x[/tex] ) = 16.05

Standard deviation ( [tex]s[/tex] ) = 1.24

[tex]\bar x + 3s= 16.05 + (3\times1.24)=19.77\\\bar x +2s = 16.05 +(2\times1.24)= 18.53\\\bar x +s=16.05+1.25=17.29\\\bar x -3s= 16.05-(2\times1.24)=12.33\\\bar x-2s=16.05-(2\times1.23)=13.57\\\bar x-s=16.05-1.24=1481\\\bar x= 16.05[/tex]

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Incomplete Question:

One of the variables collected was the class size in terms of student-to-faculty ratio. The student-to-faculty ratios of the 84 fifth-grade classes sampled have a mean of 16 05 and a standard deviation of 1.24 Complete parts (a) through (d) bellow.

[tex]\bar x+3s=\\\bar x +2s=\\\bar x+s=\\\bar x-3s=\\\bar x-2s=\\\bar x-s=\\[/tex]