Answer and Step-by-step explanation:
we have the following data:
Point estimate = sample mean = \ bar x = 12.39
Population standard deviation = \ sigma = 3.7
Sample size = n = 177
a) the margin of error with a 90% confidence interval
α = 1 - 90%
alpha = 1 - 0.90 = 0.10
alpha / 2 = 0.05
Z \ alpha / 2 = Z0.05 = 1,645
Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)
we replace:
E = 1.645 * (3.7 / \ sqrt177)
Outcome:
E = 0.46
b) margin of error with a 99% confidence interval
α = 1-99%
alpha = 1 - 0.99 = 0.01
alpha / 2 = 0.005
Z \ alpha / 2 = Z0.005 = 2,576
Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)
we replace:
E = 2,576 * (3.7 / \ sqrt177)
Outcome:
E = 0.72
c) A larger confidence interval value will increase the margin of error.
Answer:
65
Step-by-step explanation:
70 - 60 = 10
10 / 2 = 5
Thus 65
Answer:
Step-by-step explanation:
sin38=a/14
a=14(sin38)
a=8.61926
X/9=1
Multiply both sides by 9. So x=9.
Answer:
Step-by-step explanation:
Use the formula 
to find the sum of the angles in a polygon, given <em>n</em> sides. This formula tells us the angles of this pentagon must add to 540 (
).
So, we can setup an equation:
Solve for z:
Combine like terms
Subtract 200
Divide by 5
Therefore, the value of z = 68.
