Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. Assume that the population has a normal distribution.
-Weights of eggs: $95 \%$ confidence; $\mathrm { n } = 22 , \overline { \mathrm { x } } = 1.77 \mathrm { oz } , \mathrm { s } = 0.47 \mathrm { oz }$
A) $0.36 \mathrm { oz }

Question

Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. Assume that the population has a normal distribution.
-Weights of eggs: $95 \%$ confidence; $\mathrm { n } = 22 , \overline { \mathrm { x } } = 1.77 \mathrm { oz } , \mathrm { s } = 0.47 \mathrm { oz }$
A) $0.36 \mathrm { oz } < \sigma < 0.65 \mathrm { oZ }$
B) $0.37 \mathrm { oz } < \sigma < 0.61 \mathrm { oz }$
C) $0.36 \mathrm { oz } < \sigma < 0.67 \mathrm { oz }$
D) $0.38 \mathrm { oz } < \sigma < 0.63 \mathrm { oz }$

Quizplus · Accepted Answer

The correct answer is C because the confidence interval for the population mean µ is:$$1.77 \pm 1.96 \times 0.47 / \sqrt{22} = 1.77 \pm 0.36 \mathrm { oz }$$So, $0.36 \mathrm { oz } < \sigma < 0.67 \mathrm { oz }$

Use the Given Degree of Confidence and Sample Data to Construct