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Chapter 8: Q 72. (page 542)

Fruit fly thorax lengths Fruit flies are used frequently in genetic research because of their quick reproductive cycle. The length of the thorax (in millimeters) was measured for each fly in a random sample of 49male fruit flies. The mean length was x炉=0.8004mm, with a standard deviation of sX=0.0782mmmm. Construct and interpret a 90%confidence interval for the true mean thorax length of a male fruit fly.

Short Answer

Expert verified

Required confidence interval is(0.7817,0.8191)

Step by step solution

01

Given Information

It is given that n=14

(x炉)=0.8004

sx=0.0782

02

Concept Used

Formula to be used isx炉-ta2,n-1脳sn<渭<x炉+ta2,n-1脳sn

03

Calculation

  • In MINTAB Sheet, enter data set.
  • Press Stat>Basic Statistics>1-Sample t.
  • Choose summarized data. Enter given values.
  • Check options and enter 90%in confidence level.
  • Press OK.

Output obtained is:

Confidence Interval is (0.7817,0.8191)

There is 95%confidence that true mean length lies between0.7817and0.8191

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