1. Suppose the number of pages per book in a library has an unknown distribution with population mean 324 and population standard deviation 25. A sample of size n=60 is randomly taken from the population, and the sum of the values is taken. Using the Central Limit Theorem for Sums, what is the standard deviation for the sample sum distribution? Round your answer to two decimal places. 2. The lengths, in inches, of adult corn snakes have an unknown distribution with a population mean of 67 inches and a population standard deviation of 9 inches. Samples of size n=61 were randomly drawn from the population. Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution? 3. Suppose the monthly number of rainy days in Arizona have an unknown distribution with mean 5 and standard deviation 2. A sample of size n=24 is randomly taken from the population and the sum is taken. What is the probability that the resulting sum is between 123 and 125days? z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 4. A traffic light committee in a local government is determining the necessity of new traffic lights installations. The committee is analyzing a random sample of 650 traffic lights and finds that the average number of accidents in the intersections served by these traffic lights over a period of a year is 13, with a standard deviation of 3. Identify each of the following (round your answers to two decimals): = = n= x= x= 5. According to the latest financial reports from a sporting goods store, the mean sales per customer was $75 with a population standard deviation of $6. The store manager believes 39 randomly selected customers spent more per transaction. Use Excel to find the probability that the sample mean of sales per customer is between $76 and $77 dollars. Round to two decimal places. Provide your answer below: x= x= P(76x77)= 6. A nurse is interested in the amount of time patients spend exercising per day. According to a recent study, the daily workout time per adult follows an approximately normal distribution with a mean of 60 minutes and a standard deviation of 20 minutes. If the nurse randomly samples patients in her office to analyze their exercise time and gets a standard error of 5 minutes, how many patients did she sample? 7. A recent study shows that out of 925 people who participated in a sleep study, 185 had sleep disturbances. Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=250. Round all answers to 3 decimal places. Provide your answer below: p = p = p = 8. The proportion of people who get the flu each winter is 0.20. A health scientist is interested in finding ways to reduce the spread of the virus in the general population so she sets up a study. For what sample size, n, will the sampling distribution of sample proportions have a standard deviation of 0.05