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The treatment times (in minutes) for patients at a health clinic are as follows:

ID: 3270818 • Letter: T

Question

The treatment times (in minutes) for patients at a health clinic are as follows: 21 20 31 24 15 21 24 18 33 8 26 17 27 29 24 14 29 41 15 11 13 28 22 16 12 15 11 16 18 17 29 16 24 21 19 7 16 12 45 24 21 12 10 13 20 35 32 22 12 10 Construct the plot for the treatment times for the patients at the health clinic. (a) Find the 25^th percentile for the treatment times. Interpret this value. (b) The health clinic that 90% of all its patients have a treatment time of 40 minutes or less. Do the data support this claim? Yes No

Explanation / Answer

a]

25th Percentile for the treatment times is 13.75 minutes

Interpretation:

25% of treatment time of patients are less than 13.75 minutes.

There are 12 to 13 patients having treatment times is less than 13.75 minutes.

b]

The health clinic that 90% of all its patients have a treatment times of 40 minutes or less.

This statement is False. Because if we calculate 90% percentile we get 31.9 that is 32 minutes, and there are 90% of all its patients have treatment times of 32 minutes or less.

Hence the data does not support the claim.