Use the following to answer all questions in LT 6C. A manufacturer claims that only 5% of their products are defective. A store takes delivery of 300 items from the manufacturer. Let X = the number of defective items. 1. Calculate the mean and standard deviation of the sampling distribution of X. 2. Interpret the standard deviation from #1. 3. Would it be appropriate to use a normal distribution to model the sampling distribution of X? Justify your reasoning. 4. In a random sample of 300 products, what is the probability at least 18 will be defective? 5. A store takes a random sample of 300 products from the manufacturer and finds 18 are defective. Use your answer to #4 to determine if this is convincing evidence that more than 5% of the manufacturer's products are defective