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In: Statistics and Probability

Use R studio to answer the following. A study was carried out to investigate the variation...

Use R studio to answer the following.

  1. A study was carried out to investigate the variation of rainbow trout weights in a certain creek. The weights (in kilograms) of 10 randomly selected fish are listed below:

      0.78, 0.45, 0.35, 0.76, 0.57, 0.42, 0.33, 0.68, 0.66, 0.42

Assume that the population is approximately normally distributed.  Hint: make a vector to enter the weight data into R, e.g.:

> wt = c(0.78, ..., 0.42)

  1. Find the 90% confidence interval for the unknown population variance.
  2. What is the meaning of this interval? Write a sentence describing it.
  3. Test the hypothesis that the unknown population variance is less than 0.08 kg2 at a=0.05. Be sure to list (i) your hypotheses, (ii) test statistic, (iii) decision, and (iv) conclusion.

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