Question

Which of the following statements is true about the standard deviation of X? A. It increases as the sample size n increases. B. It decreases as the sample size n increases. C. It changes each time a new sample is draw D. It does not change as the sample size n increases The standard deviation of the sampling distribution for a sample mean depends on the value(s) of A. neither the sample size nor the population standard deviation B. the population standard deviation but not the sample size C. the sample size but not the population standard deviation D the sample size and the population standard devintion For results based on a sma random sample from a bell-shaped distribution, the distribution of the sample mean is A. approximately a normal distribution B. not a bell-shaped distribution C. a uniform distribution D. approximately a standard normal (z-score) distribution Heights for women are bell-shaped with a mean of 65 inches and standard deviation of 2.5 inches. If a random sample of 25 women is taken, what is the mean of the sampling distribution of X? A. 65 inches B. It depends on the value of the sample mean C. 2.5 inches D. 2.5/5-0.5 inches

Answer 1

Answes Standand dev'atlo n of y decreases as pe sample sze nincreases 오 "The Standard driation 0Ethe sampting dishi buhon for au Sample mean degendson the value s of he Samplc Sixe and tne Pa pulahan Slondard FOY result based on Smal andom Samp je faom a bell- shaped distributionihe distribuhion of the Somple mean is cuppmximaley a normel distribution. Mean of the Sampling disoibu)o n s s Population mean 65