Provide an appropriate response.
-A random sample of 10 parking meters in a resort community showed the following incomes for a day. Assume the incomes are normally distributed. Find the $95 \%$ confidence interval for the true mean.
A) $( \$ 3.39 , \$ 6.01 )$
B) $( \$ 2.11 , \$ 5.34 )$
C) $( \$ 4.81 , \$ 6.31 )$
D) $( \$ 1.35 , \$ 2.85 )$

Question

Quizplus · Accepted Answer

Given the assumption of normal distribution and the sample size, the $95\%$ confidence interval for the true mean income of parking meters would typically be calculated using the sample mean and standard deviation, along with the t-distribution due to the small sample size (n < 30). Choice A provides a reasonable range for such a calculation, indicating variability and a central tendency that could be expected from a random sample of parking meter incomes in a resort community. The other options either underestimate or overestimate the expected income range based on typical statistical methodologies for calculating confidence intervals.

Provide an Appropriate Response 95%95 \%95% Confidence Interval for the True Mean

Provide an Appropriate Response $95 \%$ Confidence Interval for the True Mean