In a random sample of 26 residents of the state of Montana, the mean waste recyc

Question

In a random sample of 26 residents of the state of Montana, the mean waste recycled per person per day was 2.8 pounds with a standard deviation of 0.23 pounds. Determine the 80% confidence interval for the mean waste recycled per person per day for the population of Montana. Assume the population is approximately normal.

Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Step 2 of 2: Construct the 80% confidence interval. Round your answer to one decimal place.

Explanation / Answer

Sample mean = 2.8

s = 0.23

n = 26

1) critical value = t0.1,25 = 1.316

2) confidence interval = (X bar + t0.1,25 * s / sqrt(n))

= (2.8 + 1.316 * 0.23 / sqrt(26))

= (2.8 + 0.1)

= (2.7, 2.9)

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