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Elanso [62]
3 years ago
13

A random sample of 25 items is drawn from a population. The sample mean is 850 and population standard deviation is 15. Find a 9

0% confidence interval
Mathematics
1 answer:
Jlenok [28]3 years ago
7 0

Answer:

The  90% confidence interval of the mean

(846.154, 853.846)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the sample size 'n' = 25

Given that the sample mean (x⁻) = 850

The standard deviation of the Population (σ) = 15

Level of significance = 0.10

<u><em>Step(ii):-</em></u>

The  90% confidence interval is determined by

(x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )

(850 - 1.282\frac{15}{\sqrt{25} } , 850+ 1.282 \frac{15}{\sqrt{25} })

(850 - 3.846 , 850 + 3.846)

(846.154 , 853.846)

<u><em>Final answer:-</em></u>

<em>The  90% confidence interval of the mean</em>

<em>(846.154, 853.846)</em>

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