OBSERVATIONS (MINUTES) 1 2 3 4 5 PERFORMANCE RATING (%) ELEMENT Prepare daily reports 35 40 33 42 39 Photocopy results Label and package reports 3 3 Distribute reports aphotocopying machine broken; included as delay in the allowance factor. bPower outage; included as delay in the allowance factor. 120 12 10 36a 15 13 110 5 5. 4 90 15 18 21 17 45b 85

Claudine Soosay recorded the following times assembling a watch: Observation No. 1 2 3 4 5 6 7 8 Performance rating is given as 95%. a) The average time of Claudine for the operation = Time (minutes) 0.11 0.09 0.11 0.09 0.15 0.10 0.09 0.10 Observation No. 9 10 11 12 13 14 15 16 minutes (round your response to three decimal places). Time (minutes) 0.11 0.09 0.11 0.10 0.11 0.12 0.14 0.10

An analyst has been asked to prepare an estimate of the proportion of time that a turret lathe operator spends adjusting the machine, with 90% confidence level. Based on previous experience, the analyst believes the proportion will be approximately 30%. a. If the analyst uses sample size of 400 observations, what is the maximum error that will be associated with the estimate? b. What sample size would the analyst need in order to have the maximum error be no more than +/- 5%?