as the class size in terms of student-t aculty ratio. The student to faculty rat

Question

as the class size in terms of student-t aculty ratio. The student to faculty ratios of the 75 th gra A sample of fifth grade classes as studied in an article. One of ee variables collected mean of 14.81 and a standard deviation of 1.12. Complete parts (a) through (d) below a. Construct the graph shown below X-3s 11.4515.93 x-2s12.57 x+2s 17.05 i-s“ 13.69 3s - 18.17 -14.81 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 At least out of fifth-grade classes sampled have student-to-faculty ratios between and Type integers or decimals. Do not round.)

Explanation / Answer

As per emperical rule, we know the following-

Let x be the mean and s be the standard deviation

68% of the observations lie between x-s and x+s

95% of the observations lie between x-2s and x+2s

99.97% of the observations lie between x-3s and x+3s

We have 75 observations,

Between 13.69 and 15.93, we have 68% i.e. 51 observations

Between 12.57 and 17.05, we have 95% i.e. 72 observations

Between 11.45 and 18.17, we have 75 observations i,e, 99.97%

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