For samples of the specified size from the population described, find the mean and standard deviation of the sample mean . The population mean and the population standard deviation of the sampled population are, respectively, 55.7 and 3.8. n=256 (A) μ = 3.8; σ = 0.2(B) μ= 14.1; σ = 1.1(C) μ = 0.2; σ = 55.7(D) μ = 55.7; σ = 3,8(E) μ = 55.7; σ = 0.2375.
Accepted Solution
A:
Answer:mean of sample is 55.7sample standard deviation is 0.2375Step-by-step explanation:given datapopulation mean = 55.7population standard deviation = 3.8n = 256to find out the mean and standard deviationsolutionwe know directly mean of sample is mean of populationi.e. mean of sample = 55.7and standard deviation will be calculate by this formulasample standard deviation = population standard deviation / [tex]\sqrt{n}[/tex]sample standard deviation = 3.8 / [tex]\sqrt{256}[/tex]sample standard deviation = 3.8/ 16sample standard deviation = 0.2375so last option is right(E) μ = 55.7 , σ = 0.2375.