A sample of size 36 has a mean X = 68. The population it is drawn from has a standard deviation = 3. Construct a 95% confidence interval. (66.08,69.92) (67.86,68.14) (67.02,68.98) (65.56,70.44)

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A sample of size 36 has a mean \( \bar{x} = 68 \). The population it is drawn from has a standard deviation \( \sigma = 3 \). Construct a 95% confidence interval.

Options:
- ( ) (66.08, 69.92)
- ( ) (67.86, 68.14)
- ( ) (67.02, 68.98)
- ( ) (65.56, 70.44)
Transcribed Image Text:A sample of size 36 has a mean \( \bar{x} = 68 \). The population it is drawn from has a standard deviation \( \sigma = 3 \). Construct a 95% confidence interval. Options: - ( ) (66.08, 69.92) - ( ) (67.86, 68.14) - ( ) (67.02, 68.98) - ( ) (65.56, 70.44)
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