A dentist wants to find the average time taken by one of her hygienists to take...

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A dentist wants to find the averagetime taken by one of her hygienists to take X-ray and clean thetooth for her patients. She recorded the time to serve 24 randomlyselected patients by the hygienist. The data of this experiment aresave in the column “Time” of the SPSS fileAss_2Q1.sav.

Time

38

33

38

40

37

37

37

39

36

33

36

38

34

38

36

36

34

33

32

35

33

35

35

32

  1. Compute the appropriate point estimate for population (true)mean time taken by this hygienist.
  2. Construct a 98% confidence interval for the true average timetaken by this hygienist.
  3. The standard average for all the hygienists for this type ofjob is 34 minutes. Do the sample data provides evidence that theaverage time taken by the hygienist is longer than standard averagefor this job type? Use 1% significancelevel.                

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