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Complete all questions using the appropriate formulas: Exercise: A particular brand of vitamin pills is claimed to on average contains the Health Canada recommended daily intake (for females) of vitamin C of75n1g. A study randomly sampled 25 pills and determines the sample mean to be ?4.74mg and the sample standard deviation to be of 0.32mg of vitamin C. Assume that the population weight of vitamin C in this brand of vitamin pills is normally distributed. a. Construct a 99% condence interval estimate for the population mean weight of vitamin C in pills. b. Does the condence interval estimate provide evidence against the claim that 'on average pills contain 75mg'. Exercise: Suppose this year you draw a simple random sample of 500 Americans over the age of sixty-ve and nd that 61 of them have Alzheimer's disease or a related dementia. For this data, Construct a 99% condence interval estimate for the proportion for Americans over the age of sixg've with Alzheimer's disease or related dementia