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In: Statistics and Probability

In order to meet the specifications of a client, a manufacturer of widgets needs to make...

In order to meet the specifications of a client, a manufacturer of widgets needs to make their widgets 1200 mm long. A quality assurance expert randomly selects 159 widgets and calculates the mean length to be 1202 mm. If it is known that the population standard deviation is1.24 mm....

  1. construct the 95% confidence interval about the population mean.
  2. does it seem as though the client's specifications have been met?
  3. if we constructed a 99% confidence interval, would the range between the upper limit and lower limit be wider or narrower? Why do you think this is so?

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