Statistics

Project description Statistics 1. The average household generates28 pounds of recyclable paper monthly. Suppose the variable is approximately normally distributed, and the standard deviation is 2 pounds. If a household is selected at random, find the probability of its generating: a)Between 26 and 32 pounds per month b)More than 30 pounds per month 2. Solve backwards from a z-?score: Suppose test scores are normally distributed, and the mean is 200 with a standard deviation of 20. If entry into a school requires a score in the top 10%, find the lowest possible score to qualify. 3. Use the normal distribution to approximate a binomial distribution. A study showed that 6% of Americans eat out every night. If 300 people are chosen at random, a)Find the probability that exactly 25 eat out nightly. b)Find the probability that fewer than 25 eat out nightly. 4. First check each binomial distribution to see whether it can be approximated by a normal distribution, (both np?5, and nq?5). Then if so, use the normal distribution to approximate the binomial to find the probabilities for the specific value(s) of X. a)n = 10, p = .6, X = 7 b)n = 20, p = .7, X = 12 5. Explain in your own words the idea behind the Central Limit theorem, comparing a mean statistic of Samples with a parameter of the whole Population. (Note: Any difference between a sample measure and the corresponding population measure is Sampling Error). Statistics 1. The average household generates 28 pounds of recyclable paper monthly. Suppose the variable is approximately normally distributed, and the standard deviation is 2 pounds. If a household is selected at random, find the probability of its generating: a) Between 26 and 32 pounds per month b) More than 30 pounds per month 2. Solve backwards from a z-­-score: Suppose test scores are normally distributed, and the mean is 200 with a standard deviation of 20. If entry into a school requires a score in the top 10%, find the lowest possible score to qualify. 3. Use the normal distribution to approximate a binomial distribution. A study showed that 6% of Americans eat out every night. If 300 people are chosen at random, a) Find the probability that exactly 25 eat out nightly. b) Find the probability that fewer than 25 eat out nightly. 4. First check each binomial distribution to see whether it can be approximated by a normal distribution, (both np=5, and nq=5). Then if so, use the normal distribution to approximate the binomial to find the probabilities for the specific value(s) of X. a) n = 10, p = .6, X = 7 b) n = 20, p = .7, X = 12 5. Explain in your own words the idea behind the Central Limit theorem, comparing a mean statistic of Samples with a parameter of the whole Population. (Note: Any difference between a sample measure and the corresponding population measure is “Sampling Error”). PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET AN AMAZING DISCOUNT :)