Assume the population distribution is normally distributed, theweights (in 1000 grams) of a random sample of 10 boxes of cerealare:
10.2 10.1 10.1 9.7 10.3 9.8 9.9 9.8 10.4 10.3
(a) Find a 99% confidence interval for the mean weight of eachbox of cereal.
(b) Assume the population standard deviation is 30 grams.Construct a 96% confidence interval for the mean weight of each boxof cereal.
(c) Assume the population standard deviation is given. If onedecreases the sample size while keeping the same confidence level,what is the effect on the length of a confidence interval of apopulation mean? Justify your answer.
(d) Assume the population standard deviation is given. If oneincreases the confidence level while keeping the same sample size,what is the effect on the length of a confidence interval of apopulation mean? Justify your answer.
