Question

You are asked to examine the patient results to a new drug treatment that is given for their medical care. Recently, you randomly sampled 35 of the medical complex’s two hundred patients over the past year from the same clinic. Consider a poor rating any value greater than or equal to 200.

200 242 206 178 184 198 160 182 182 198 182 238 198 188 166 204 182 178 212 164 230 186 162 182 218 170 200 176 175 202 200 199 210 250 172

~assume data is continous data~

a.) That a randomly selected patient has a reading above 225.

b.) That a randomly selected patient has a reading below 200.

c.) That a randomly selected patient has a reading between 180 and 205.  

Answer 1

z = (x - μ) / σ

Find mean and std dev:

a.) That a randomly selected patient has a reading above 225?

z = (225 - 193.54)/22.59 = 1.39

P(Z > 1.39) = 0.0823

b.) That a randomly selected patient has a reading below 200.?

Z = (200-193.54)/22.59 = 0.29

P(Z < 0.29) = 0.6141

c.) That a randomly selected patient has a reading between 180 and 205.  

Z = (180-193.54)/22.59 = -0.60

Z = (180-193.54)/22.59 = 0.51

P(-0.60 < Z < 0.51) =0.4207