1. True or False. Justify for full credit. (a) The normal distribution curve is always symmetric to 0. (b) If the variance from a data set is zero, then all the observations in this data set are identical. (c) P(AOR A complement) 1, where A complement is the complement of A. (d) In a hypothesis testing, if the p-value is less than the significance level , we do not have sufficient evidence to reject the null hypothesis. (e) The volume of milk in a jug of milk is 128 oz. The value 128 is from a discrete data set. The IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. 2.. What is the probability that a randomly selected person has an IQ between 85 and 115? 3. Find the 90th percentile of the IQ distribution. 4. If a random sample of 100 people is selected, what is the standard deviation of the sample mean? 5. A random sample of 100 light bulbs has a mean lifetime of 3000 hours. Assume that the population standard deviation of the lifetime is 500 hours. Construct a 95% confidence interval estimate of the mean lifetime. Show all work. Just the answer, without supporting work, will receive no credit