[Solution] Assume a very large normally distributed population of scores on a test with mean 70 and standard deviation 7. Find an interval that includes
Question: Assume a very large normally distributed population of scores on a test with mean 70 and standard deviation 7.
- Find an interval that includes 95% of the population
- Suppose you randomly sample a single member from this population. Find an interval so that you are 95% confident that this member’s score will be in the interval.
- Now suppose you sample 30 members randomly from this population. Find an interval so that you are 95% confident that the average of these members access will be in the interval.
- Finally, suppose you sample 300 members randomly from this population. Find an interval so that you are 95% confident that the average of these members scores will be in the interval.
- Explain intuitively why the answers to parts a through d are not all the same.
Deliverable: Word Document 
(Solution Library) For normal distribution having a mean of -1 and
![[Steps Shown] For a sample size of](/images/solutions/MC-solution-library-46990.jpg "[Steps Shown] For a sample size of N = 4 of the random variable")
[Steps Shown] For a sample size of N = 4 of the random variable
![[Steps Shown] This experiment involves determining the](/images/solutions/MC-solution-library-46991.jpg "[Steps Shown] This experiment involves determining the outcomes and")
[Steps Shown] This experiment involves determining the outcomes and
![[See Solution] Given a binomial distribution of](/images/solutions/MC-solution-library-46992.jpg "[See Solution] Given a binomial distribution of the random variable")
[See Solution] Given a binomial distribution of the random variable
(Step-by-Step) Using normal distribution of the random variable X
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