98 A sample of 16 small bags of the same brand of candies was selected Assume that the population distribution of bag weights is normal The weight of each bag was then recorded The mean weight was two ounces with a standard deviation of 0 12 ounces The population standard deviation is known to be 0 1 ounce a i x ii G iii S b In words define the random variable X c In words define the random variable X d Which distribution should you use for this problem Explain your choice e Construct a 90 percent confidence interval for the population mean weight of the candies i State the confidence interval ii Sketch the graph iii Calculate the error bound f Construct a 98 percent confidence interval for the population mean weight of the candies i State the confidence interval ii Sketch the graph iii Calculate the error bound g In complete sentences explain why the confidence interval in Part f is larger than the confidence interval in Part e h In complete sentences give an interpretation of what the interval in Part f means 99 A camp director is interested in the mean number of letters ech child sends during his or her camp session The population standard deviation is known to be 2 5 A survey of 20 campers is taken The mean from the sample is 7 9 with a sample standard deviation of 2 8 a i x ii 0