answer all the following questions

Use a normal distribution or a t distribution to construct each confidence interval. Show all work. 1. A random sample of 55 hotel rooms in the Philadelphia, PA area has a mean nightly cost of $154.17 and a standard deviation of $38 .60. Construct a 99% confidence interval for all hotels in the Philadelphia area. 2. In a recent sample of 42 eighth graders, the mean number of hours per week that they watched television was 19.6. Assume the population standard deviation of 5.8 hours. Find the 98% confidence interval for the population mean. 3. Construct a 95% confidence interval for the population mean, it. Assume the population has a normal distribution. In a random sample of 26 computers, the mean repair cost was $149 with a standard deviation of $39