1. The amount people pay for cell phone service varies quite a bit, but the mean monthly fee is $55 and the standard deviation is $22. The distribution is not Normal. Many people pay about $30 for plans with 2GB data access and about $60 for 5GB of data access, but some pay much more for unlimited data access. A sample survey is designed to ask a simple random sample of 1,000 cell phone users how much they pay. Let x? be the mean amount paid. Part A: What are the mean and standard deviation of the sample distribution of x?? Show your work and justify your reasoning. (4 points) Part B: What is the shape of the sampling distribution of x?? Justify your answer. (2 points) Part C: What is the probability that the average cell phone service paid by the sample of cell phone users will exceed $56? Show your work. (4 points)

2. Tiara, a quality assurance inspector at a chocolate factory, checks for product quality using a random sample of 18 pieces of chocolate from a batch of 60, with 17 white chocolates and 43 dark chocolates. Let p? be the proportion of white chocolates in the sample. Part A: Is the 10% condition met in this case? Justify your answer. (5 points) Part B: Is the Normal condition met in this case? Justify your answer. (5 points)

3. An ecological group suspects dolphins are consuming dangerous levels of arsenic in a region of the world. Dangerous levels of arsenic are classified when they reach beyond 7.0 parts per million. A random sample of 28 dolphins in the region were tested and the data is shown in the stemplot.