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In: Statistics and Probability

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

A dentist wants to find the average time taken by one of her hygienists to take X-ray and clean the tooth for her patients. She recorded the time to serve 24 randomly selected patients by the hygienist. The data of this experiment are save in the column “Time” of the SPSS file Ass_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 time taken by this hygienist.
  3. The standard average for all the hygienists for this type of job is 34 minutes. Do the sample data provides evidence that the average time taken by the hygienist is longer than standard average for this job type? Use 1% significance level.                 

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