A random sample of 12 tests for two different drugs revealed the following times
ID: 3304350 • Letter: A
Question
A random sample of 12 tests for two different drugs revealed the following times (in minutes) until the effects of the drug were neutralized.
Drug A
220
283
293
277
255
275
280
265
282
269
290
263
Drug B
255
217
247
225
233
230
240
242
249
233
247
21
What is the mean of drug A? (Round to two decimal places as needed.)
What is the standard deviation of drug A? (Round to three decimal places as needed.)
What is the mean of drug B? (Round to two decimal places as needed.)
What is the standard deviation of drug B? (Round to three decimal places as needed.)
b. Which drug appears to be effective longer?
Drug B appears to be effective longer because it has the smaller mean.
Drug A appears to be effective longer because it has the larger mean.
Drug B appears to be effective longer because it has the larger mean.
Drug A appears to be effective longer because it has the smaller mean.
c. Which drug appears to have the greater variability in effect time?
Drug A appears to have the greater variability in effect time because it has the smaller standard deviation.
Drug B appears to have the greater variability in effect time because it has the smaller standard deviation.
Drug B appears to have the greater variability in effect time because it has the larger standard deviation.
Drug A appears to have the greater variability in effect time because it has the larger standard deviation.
d. What is the coefficient of variation for drug A? (Round to two decimal places as needed.)
What is the coefficient of variation for drug B? (Round to two decimal places as needed.)
Which drug has the greater variability in its time until the effect is neutralized?
Drug B has the greater variability in its time until the effect is neutralized because it has the larger coefficient of variation.
Drug A has the greater variability in its time until the effect is neutralized because it has the smaller coefficient of variation.
Drug B has the greater variability in its time until the effect is neutralized because it has the smaller coefficient of variation.
Drug A has the greater variability in its time until the effect is neutralized because it has the larger coefficient of variation.
Drug A
220
283
293
277
255
275
280
265
282
269
290
263
Drug B
255
217
247
225
233
230
240
242
249
233
247
21
Explanation / Answer
Run descriptive statistics in excel:
Output is:
hat is the mean of drug A? (Round to two decimal places as needed.)
271
What is the standard deviation of drug A? (Round to three decimal places as needed.)
19.549
What is the mean of drug B? (Round to two decimal places as needed.)
219.92
What is the standard deviation of drug B? (Round to three decimal places as needed.)
63.590
Solutionb:
b. Which drug appears to be effective longer?
Drug A appears to be effective longer because it has the larger mean.
Solutionc:
spread is more with larger std deviation
Drug B has larger stddev
Drug B appears to have the greater variability in effect time because it has the larger standard deviation.
Which drug appears to have the greater variability in effect time?
Drug A Drug B Mean 271 Mean 219.9167 Standard Error 5.643446185 Standard Error 18.35692 Median 276 Median 236.5 Mode #N/A Mode 247 Standard Deviation 19.54947105 Standard Deviation 63.59025 Sample Variance 382.1818182 Sample Variance 4043.72 Kurtosis 3.781874119 Kurtosis 11.09038 Skewness -1.692376319 Skewness -3.28311 Range 73 Range 234 Minimum 220 Minimum 21 Maximum 293 Maximum 255 Sum 3252 Sum 2639 Count 12 Count 12Related Questions
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