Use the chart to estimate the population density of Romania in 1997. Round to the nearest person.
1 answer:
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Answer:
<h2>11.2≤Step-by-step explanation:
Confidence interval for the population mean is expressed by the formula;
CI = xbar ± Z(S/√n) where;
xbar is the sample mean = 12.5
Z is the z score at 99% confidence = 2.576
S is the standard deviation = √variance
S = √2.4 = 1.5492
n is the sample size = 25
Substituting the given values into the formula given above,
CI = 12.5 ± 2.576(1.5492/√25)
CI = 12.5 ± 2.576(0.30984)
CI = 12.5 ± 0.7981
CI = (12.5-0.7981, 12.5+0.7981)
CI = (11.2019, 12.7981)
Hence the 99% confidence interval for the population mean is 11.2≤12.8 (to 1 decimal place)
Answer:
Step-by-step explanation:
we have
This is a compound inequality
Remember that
A compound inequality i can divide in a system of two inequalities
so
-----> inequality A
---> inequality B
step 1
Solve the inequality A
Multiply by -1 both sides
Divide by 5 both sides
Rewrite
The solution of the inequality A is the interval ----> (-3.2,∞)
step 2
Solve the inequality B
Multiply by -1 both sides
Divide by 5 both sides
The solution of the inequality B is the interval ----> (-∞, 10)
step 3
Find the solution of the compound inequality
(-3.2,∞) ∩ (-∞, 10)=(-3.2,10)
All real numbers greater than -3.2 and less than 10
The graph in the attached figure
