True or False.

1. In order to use results from the Central Limit Theorem forcalculating that the sample mean is greater than some number, thepopulation you are sampling from must have a normaldistribution.
2. If a variable has a binomial distribution with the probabilityof success equal to 0.82, then the distribution is skewed to theleft.
3. For calculating the probability that a sample mean is greaterthan some given value, in solving this problem, one of the firstthings you would do is to apply the continuity correction.
4. If you took many samples (size >50) from a population andcalculated the proportion for each of the samples, then thedistribution of these proportions would have an approximate normaldistribution.
5. If a person had a z-score of 0.49, this indicates their actualraw score is close to the 50^th percentile.
6. If the sample size is equal to 40 and the true proportion isequal to 0.25, then the z-distribution can be used instead of thebinomial distribution for calculating probabilities.

7.The approximation tonormality for the sampling distribution of * becomes better andbetter as the sample size increases.

1. When sampling from a normal distribution where the mean = g andvariance 6 , then the sampling distribution for R will also have amean = g and a variance = 6² .