Question

Question 5 (1 point) Saved Is it more unusual for the individual woman to be taller than the average man, or for the mean of a sample of n=100 women to be taller than the average man? Why? a) The question could only be answered if the standard deviation of the sample mean were given. The standard deviation of the individual height is given, and it is 4 inches, so we know that 99.7% of women are between 52 and 76 inches tall. b) It is more unusual for the sample mean to be 66 in or above. Individuals vary very much, but sample means are pretty stable, the more so, the larger the sample size because unusually tall individuals average out unusually short individuals. O c) Either an individual or a sample may be 66 inches or taller. People have been eating better, so tall individuals, even tall women have become more common place than they were even a century ago. Therefore, this question does not have a good answer. d) It is more unusual for an individual woman to be 66 inches or above than for a sampel mean to be 66 inches or above. The mean is about groups, and the group which consists of men has the mean of 66 inches, so there must be groups or samples which are above 66 in.

Answer 1

Answer:

b) It is more unusual for the sample mean to be 66 in or above. Individuals vary very much, but sample means are pretty stable, the more so, the larger the sample size because unusually tall individuals average out unusually short individuals.

Explanation:

For the above comparison purpose, it is always better to use sample mean or sample statistic instead of individual observation. For using individual observation, there would be more variability as compared to the sample statistic.