64. 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 < μ< 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.

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64. 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.
Transcribed Image Text:64. 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.
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