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A detergent manufacturer claims that the contents of boxes sold weigh on average 1 kg or...

A detergent manufacturer claims that the contents of boxes sold weigh on average 1 kg or more. It is known from historical records that the weights are normally distributed with a standard deviation of 0.025 kg. A random sample of 16 boxes yielded a sample mean weight of 0.987 kg. We are interested in whether the sample results show that the manufacturer’s claim is invalid.

  1. Do you recommend a hypothesis test with a one-sided alternative hypothesis or a two-sided alternative hypothesis? Justify your answer.

b. Is the manufacturer’s claim invalid? Explain why or why not? Your answer should be in the form of a hypothesis test at the 5% significance level.

  1. Construct a 95% confidence interval for the average weight of the content of the boxes.
Math   Statistics-And-Probability   
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