In a random sample of 7 residents of the state of Maine, the mean waste recycled

Question

In a random sample of 7 residents of the state of Maine, the mean waste recycled per person per day was 1.4 pounds with a standard deviation of 0.23 pounds. Determine the 95% confidence interval for the mean waste recycled per person per day for the population of Maine. 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.                       

Can you show how to solve on ti-84?

Explanation / Answer

Given,

n = 7, xbar = 1.4, S.D (s) = 0.23, c = 95 %

The confidence interval for population mean (mu) is given by,

xbar - E < mu < xbar + E,

E = tc * s / sqrt(n)

= 0.2127 * 0.23 / 2.6458

= 0.2127

xbar - E = 1.1873 = 1.187

xbar + E = 1.6127 = 1.613

The required 95 % confidence interval is,

1.187 < mu < 1.613

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