Sara's Candle Co is a small company located in Toronto, Ontario. The company specializes in manufacturing and selling handmade soy candles richly scented with high quality fragrance oils. Assume that the population distribution of soy candles weight is normal. A random sample of 20 soy candles was selected. Each soy candle was examined carefully based on its dimensions and density. The mean weight was determined to be 215 grams with a standard deviation of 27 grams. The population standard deviation is known to be 32 grams. red on 

(a) What assumptions can you make about the shape of the sampling distribution? Why? (2 marks) 

(b) Construct an 87% confidence interval for the population mean weight of the soy candles. (3 marks) 

(c) Construct an 92% confidence interval for the population mean weight of the soy candles. (3 (c) marks) 

(d) Interpret the interval in part (b). (1 mark) Review the results in part (b) and part (C). Which one has the larger confidence interval? Why?