7. A random sample of 80 employees at a large grocery store with multiple locations was asked if they spend more than 30 minutes commuting to work. Assume the true proportion of employces that spend more than 30 minutes commuting to work 35%. Which of the following is closcst to the probability that more than 30 employees in a sample of 80 employees would respond that they spend more than 30 minutes commuting to work cach day? 0.3196 b. a. 0.4562 0.5438 d. C. 0.6804

10. Bags of grain in a warehouse have a mean weight of 60 pounds with a standard deviation of 4 pounds. a. In random samples of 36 bags, what is the probability the total weight of the bags is less than 2100 lb? b. In random samples of 36 bags, what is the 80th percentile for the total weight of the 36 bags?

The mean number of patients admitted per day to the emergency room of a small hospital is 1.5. If, on any given day, there are only 7 beds available for new patients, what is the probability that the hospital will not have enough beds to accommodate its newly admitted patients?

2.Suppose that 60% of middle school students in San Diego wear braces. A random sample of 250 San Diego middle school students is selected. a.What is the mean and standard deviation of the 250 samples students that will have braces? b.What is the probability that at most 190 students in the sample wear braces?

A research team is working on a project to study the time (in seconds) for high school male runners to finisha 400-meter race. Jimmy, a junior researcher in the team, has randomly selected a sample of 25 male runnersfrom a high school and the time (in seconds) for each of them to complete a 400-meter race was recorded.The sample mean running time was 53 seconds. It is assumed that the running time in a 400-meter racefollows a normal distribution with a population standard deviation of 5.5 seconds.(a) Give a point estimate of the population mean running time for a 400-meter race.(b) Calculate the sampling error at 95% confidence level.(c) Construct a 95% confidence interval estimate of the population mean running time for a 400-meter race. (d) If instead of 25, 80 male runners are selected for the study, what is the sampling error at 95% confidencelevel? When the 95% confidence interval is constructed based on a sample with 80 male runners, wouldyou expect the interval will be (I)…

a..089 b..086 c..088 d..087

2. The number of pages in a PDF document you create has is randomly distributed between 5 and 9 pages, where all values are equally likely. What are the mean and standard deviation of the number of pages in the document2

Letter i only please. The last one

Assume that the sales of Teri’s Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes.a. What is the probability that the sales for cakes will be no more than 285 over the next month?b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month?c. What is the probability that the sales for the cakes will be between 245 and 265 over the next month?d. What number of cake demand can Teri reasonably assume with a confidence level of 95%?For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text).

If a researcher wanted to know the probability than an individuals's systolic blood pressure would fall above 95 and found that the corresponding z-score is -1.5, what is the probability that a random individuals' systolic blood pressure would fall above 95?