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A sample of 19 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 2 ounces with a standard deviation of 0.12 ounces. The population standard deviation is known to be 0.1 ounce. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) + Part (a) + Part (b) Part (c) Part (d) Which distribution should you use for this problem? (Round your answers to three decimal places.) X - ? 0 Explain your choice. O The standard normal distribution should be used because the sample standard deviation is known. The Student's t-distribution should be used because the sample standard deviation is given. The standard normal distribution should be used because the population standard deviation is known. The Student's t-distribution should be used because the sample size is small. + Part (e) Part (f) + Part (9) Part (h) In complete sentences, give an interpretation of what the interval in part (f) means. O We are 98% confident that a small bag of candies weighs between these values. We are 98% confident that the true population mean weight of all small bags of candies is between these values. O There is a 98% chance that a small bag of candies weighs between these values. O We are 98% confident that the mean weight of the sample of 19 small bags of candies is between these values