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------------------------------------------------ in a random sample of 99 residents of the state of new york, the mean waste recycled per person per day was 2.12.1 pounds with a standard deviation of 0.250.25 pounds. determine the 90�% confidence interval for the mean waste recycled per person per day for the population of new york. assume the population is approximately normal.

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.

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