The process can be skimmed over, and the correctness of the answer is more important. Thanks

We draw a random sample of size 25 from a normal population with variance 2.8. If the sample mean is 21.5, what is a 90% confidence interval for the population mean? Multiple Choice O [21.0273, 21.9727] O [20.6315, 22.3685] O [20.5080, 22.4920] O [20.9500, 22.0500]A website advertises job openings on its website, but job seekers have to pay to access the list of job openings. The website recently completed a survey to estimate the number of days it takes to find a new job using its service. It took the last 35 customers an average of 50 days to find a job. Assume the population standard deviation is 10 days. Construct a 99% confidence interval of the population mean number of days it takes to find a job. Multiple Choice O [29.6180, 70.3820] O [46.2146, 53.7854] O [45.1265, 54.8735] O [45.6390, 54.3610]A machine that is programmed to package 1.30 pounds of cereal is being tested for its accuracy in a sample of 43 cereal boxes, the sample mean filling weight is calculated as 1.32 pounds. The population standard deviation is known to be 0.06 pounds. Find the 95% confidence interval for the population mean lling weight. Multiple Choice O [1243213986] [1.2629, 13817] O O [1.2202, 13584] O [1.3021, 1.3379]