Question: Interpret a confidence interval: A survey organization drew a simple random sample of 625 households from a city of 100,000 households. The sample mean number

Interpret a confidence interval: A survey organization drew a simple random sample of 625 households from a city of 100,000 households. The sample mean number of people in the 625 households was 2.30, and a 95% confidence interval for the mean number of people in the 100,000 households was 2.16 < < 2.44. True or false, and explain:

a.We are 95% confident that the mean number of people in the 625 households is between 2.16 and 2.44.

b.We are 95% confident that the mean number of people in the 100,000 households is between 2.16 and 2.44.

c.The probability is 0.95 that the mean number of people in the 100,000 households is between 2.16 and 2.44.

d. 95% of the households in the sample contain between 2.16 and 2.44 people

Show work and formula used in each instance .Thank you.

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