Question 1:The standard deviation for a population is σ = 14.7 . A sample of 21...

Question 1:The standard deviation for a population is σ = 14.7 . A sample of 21 observations selected from this population gave a mean equal to 142.30 . The population is known to have a normal distribution.

Round your answers to two decimal places.

a. Make a 99 % confidence interval for μ .

( Enter your answer; 99% confidence interval, lower bound ,Enter your answer; 99% confidence interval, upper bound )

b. Construct a 95 % confidence interval for μ .

( Enter your answer; 95% confidence interval, lower bound ,Enter your answer; 95% confidence interval, upper bound )

c. Determine a 90 % confidence interval for μ .

Question 2:The standard deviation for a population is σ = 7.52 . A random sample selected from this population gave a mean equal to 47.38 . Construct a 95 % confidence interval for μ assuming n = 100 .

Round your answers to two decimal places.

Question 3:A city planner wants to estimate the average monthly residential water usage in the city. He selected a random sample of 37 households from the city, which gave the mean water usage to be 3410.50 gallons over a one-month period. Based on earlier data, the population standard deviation of the monthly residential water usage in this city is 387.70 gallons. Make a 95 % confidence interval for the average monthly residential water usage for all households in this city.

Round your answers to two decimal places.

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