1.The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.
For a sample of n=75, find the probability of a sample mean being greater than 220 if μ=219 and sigma σ=3.7
2.The heights of fully grown trees of a specific species are normally? distributed, with a mean of 67.0 feet and a standard deviation of 6.00 feet. Random samples of size 10
are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution.
- The mean of the sampling distribution is?
- The standard error of the sampling distribution is?
3.The mean price of photo printers on a website is ?$232 with a standard deviation of ?$62. Random samples of size 31are drawn from this population and the mean of each sample is determined.
- The mean of the distribution of sample means is?
4. Find the probability and interpret the results. If? convenient, use technology to find the probability. During a certain week the mean price of gasoline was ?$2.719 per gallon. A random sample of 36 gas stations is drawn from this population. What is the probability that the mean price for the sample was between ?$2.699 and ?$2.715 that? week? Assume σ=?$0.046
5. The mean height of women in a country? (ages 20-?29) is 64.4inches. A random sample of 70 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65?inches? Assume σ=2.59