Consider a normal distribution curve where 90-th percentile is at 20 and the 25-th percentile is at 10. use this information to
find the mean, μ , and the standard deviation, σ , of the distribution.
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Answer:
Step-by-step explanation:
Hello!
You have two populations of interest and want to compare them. If you define the study variables as:
X₁: average hourly wages of an employee of the Downtown store.
n₁= 25
X[bar]₁= $9
S₁= $2
X₂: average hourly wages of an employee of the North Mall store.
n₂= 20
X[bar]₂= $8
S₂= $1
Both samples taken are independent, assuming that both populations are normal and that their population variances are equal I'll use the Student's-t statistic with a pooled sample variance to calculate the Confidence interval:
95% CI for μ₁ - μ₂
(X[bar]₁-X[bar]₂) ±
Sa= 1.64
(9-8)±2.017*
[0.007636;1.9923]
I hope it helps!