a. A Quality Control firm that you work for is hired to evaluatehow long, on ave

Question

a. A Quality Control firm that you work for is hired to evaluatehow long, on average, patients have to wait to see a doctor at alocal clinic. The firm randomly selects 8 patients one day andrecords the length of time that they wait to see a doctor. Thepatients waiting times are listed below (in minutes)

22  31  14  20  33  25  16  19

First calculate the mean and the standard deviation of patientswaiting times. (How do I calculate SD not using thecalculator)?

b. Construct the 95% Confidence Intervals for the mean waitingfor patients

Explanation / Answer

mean=22.5, s=6.78 (standard deviation) (b) =0.05, Z(0.025)=1.96 (check normal table) The 95% CI is xbar ± Z*s/n --> 22.5 ± 1.96*6.78/sqrt(8) --> (17.8, 27.19) (c) The test hypothesis is Ho:>=30 Ha:

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