Answer: (20.86, 22.52)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-

, where
= sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
By considering the given question , we have


n= 58
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, 95% confidence interval for the amount of time spent on administrative issues will be :





Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)
Answer:
- 2730.54
- 18.8%
- 62.5% (decrease)
Step-by-step explanation:
The applicable formula is ...
rate = portion/base
so ...
base = portion/rate
Of course, a percentage is a fraction that has been multiplied by 100%.
__
1. base = portion/rate = 456/0.167 ≈ 2730.54
The base is about 2730.54.
__
2. rate = portion/base = 50/266 ≈ 0.18797 ≈ 18.8%
The rate is about 18.8%.
__
3. The decrease can be figured from ...
rate of change = (new amount)/(original) -1 = 33/88 -1
= -5/8 = -0.625 = -62.5%
The rate of decrease is 62.5%.
The answer is a^2 + 5a - 104 I think