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# Take a position on whether or not the total area under a normal distribution is inﬁnite. Provide an example to support your response. 1-Take a position on whether or not the total area under a norma

Take a position on whether or not the total area under a normal distribution is inﬁnite. Provide an example to support your response.

1-Take a position on whether or not the total area under a normal distribution is inﬁnite. Provide an example to support your response.

2-The vast majority of the world uses a 95% confidence in building confidence intervals. Give your opinion on why 95% confidence is so commonplace. Justify your response.

- Construct a hypothetical 95% confidence interval for a hypothetical case of your choosing. Use your own unique choice of mean, standard deviation, and sample size to calculate the confidence interval.

Select **one (1) **option provided below and analyze how it will influence your confidence interval:

- The confidence changes to 90%.
- The confidence changes to 99%.
- The sample size is cut in half.
- The sample size is doubled.
- The sample size is tripled.