1-An Orlando Times poll on graduate student issues interviewed 1025 students randomly selected from the Florida. The poll found that 47% of the students said they did not get enough time for themselves. a. Construct and interpret a 90% confidence interval for the proportion of students who do not feel that they get enough time for themselves. b. Suppose this poll was conducted by telephone calls made from 9am to 5 pm. Explain how this sampling method is biased, and speculate about the direction of the bias

2-A random sample of the starting salaries of 35 randomly selected graduates with bachelor's degrees last year gave sample mean and standard deviations, $41,202 and $7,621, respectively. Test whether the data provide sufficient evidence, at the 5% level of significance, to conclude that the mean starting salary of all graduates last year is less than the mean of all graduates two years before, $43,589.

3-To appeal to customers, that are trying to cut calories for weightloss, a company that sells lemon juice decided to market a premium juice, "Lemon 50" which has half as many calories as traditional lemon juice. The ingredient listening reveals that Lemon 50 consists of 50% water and 50% lemon juice. Besides misleading customers to pay more for less lemon juice, a consumer group believes that the product actually consists of greater than 50% water. To test the claim they select a random sample of 500 bottles of their 64 oz of their Lemon 50 and determine the proportion of each that is water. They decided to use = 0.05