Question

in a random sample of 77 residents of the state of texas, the mean waste recycled per person per day was 1.01.0 pounds with a standard deviation of 0.290.29 pounds. determine the 98�% confidence interval for the mean waste recycled per person per day for the population of texas. 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.

Answer 1

Answer:

(0.63789 ; 1.38211 )

Given that:

Mean, xbar = 1.01

Standard deviation, s = 0.29

Sample size, n = 7

Confidence interval  : xbar ± margin of error

Margin of Error = Tcritical * s/sqrt(n)

Degree of freedom (df) = n - 1 = 7 - 1 = 6

Hence Tcritical = 3.143

Margin of Error = 3.143 * 0.29/sqrt(6)

Margin of error = 0.37211

Lower boundary = (1.01 - 0.37211) = 0.63789

Upper boundary = (1.01 + 0.37211) = 1.38211

(0.63789 ; 1.38211 )

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