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Answer:
The 80% confidence interval for the mean waste recycled per person per day for the population of New York is between 1.6 pounds and 4.2 pounds
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 11 - 1 = 10
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 10 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.372
The margin of error is:
M = T*s = 1.372*0.98 = 1.3
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.9 - 1.3 = 1.6 pounds
The upper end of the interval is the sample mean added to M. So it is 2.9 + 1.3 = 4.2 pounds
The 80% confidence interval for the mean waste recycled per person per day for the population of New York is between 1.6 pounds and 4.2 pounds