Question

The Wanting Recognition (WR) Scale provides a quantitative measure of a person's level of need for approval and sensitivity to social situations. A random sample of 100 convicted drug dealers was scoredf on the WR scale and produced a mean WR score of 39 and a standard deviation of 6. (a) Use this information, find an interval estimate of the mean WR score for all convicted drug dealers with 99% confidence level.

Answer 1

Answer:

99% of the confidence level  of the mean WR score for all convicted drug dealers

(37.4544, 40.5456)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of the sample(x⁻) = 39

Given a standard deviation of the sample (σ) = 6

Level of significance = 0.01 or 99%

Step(ii):-

99% of the confidence level  of the mean WR score for all convicted drug dealers

$(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } ,x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} })$

$(39 -2.576 \frac{6}{\sqrt{100} } ,39 + 2.576 \frac{6}{\sqrt{100} })$

(39 - 1.5456 , 39+1.5456)

(37.4544, 40.5456)

Final answer:-

99% of the confidence level  of the mean WR score for all convicted drug dealers

(37.4544, 40.5456)