Question

Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts.

Answer 1

The random variable X is the weight of each bag of candy in a sample of 16 bags. The sample mean weight is 2 ounces with a standard deviation of 0.12 ounces.

Step-by-step explanation:

The random variable X is defined as the weight of each bag of candy in a sample of 16 bags of the same brand. The mean weight is 2 ounces, the population standard deviation is known to be 0.1 ounce, and the standard deviation of the sample mean is 0.12 ounces.

To summarize:

• i. X = weight of each bag of candy
• ii. 0 = population mean weight of a bag of candy (known to be 2 ounces)
• iii. Sx = standard deviation of the sample mean (0.12 ounces)