Compute the following showing your work. 1.In sampling the caloric content of 24 bottles of "light" beer, the mean and standard deviation are found to be 107.3 calories and 3.9 calories, respectively. Find the 90% confidence interval for the mean caloric content of all such bottles if the sample is from a normal population. 2. In a survey of 1500 people, 63% indicated that they listened to their favorite radio station because of the music (based on data from a Strategic Radio Research poll). Construct the 95% confidence interval estimate of the true population percentage of all people who listen to their favorite radio station because of the music. 3. In a study of eating habits of college students at UT the claim is made that a greater proportion of girls skip breakfast than boys. Samples of size 50 each are selected. 30% of the girls skipped and 21% of the boys skipped breakfast. Can the stated claim be substantiated for UT at alpha = .01