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Answer :
The mean waste recycled per person per day for the population of new- york is 1.9 < u < 2.3 .
Given that,
The mean waste recycled per person per day = 2.12
Standard Deviation = 0.250
c = 0.9 , So [tex]\alpha[/tex] =1-c =0.10
n = 9<30 so we use t critical value.
From t table we get the critical value = 1.859
90% confidence interval for the mean u
So,
X = 2.1 , s = 0.25 , n= 9
2.1 - 1.86 (0.25/[tex]\sqrt{9}[/tex]) < u < 2.1 =1.86 (0.25/[tex]\sqrt{9}[/tex])
1.954 < u < 2.225
1.9 < u < 2.3 .
Therefore,
From 1.9 < u < 2.3 we get that the population is approximately normal.
To know more about " Confidence Interval"
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