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Finding confidence interval for mean

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Consider the following random sample of diameter measurements (in inches) of 12 softballs.

4.9 4.71 4.84 4.7 4.78 4.79 4.82 4.76 4.72 4.88 4.73 4.68

If we assume that the diameter measurements are normally distributed, find a 95% confidence interval for the mean diameter of a softball. Then complete the table below.

1. What is the lower limit of the confidence interval?

2. What is the upper limit of the confidence interval?

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The solution explains the steps to find out confidence interval for mean.

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Please refer attached file for complete solution. Expressions typed with the help of equation writer are missing here.

Solution:

Here sample size is less than 30 and population standard deviation is not given. We are also given that population is normal. We should use t-statistics to estimate confidence interval.
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  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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