Answer:
The 80% confidence interval for difference between two means is (0.85, 1.55).
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for difference between two means is:

Given:

Confidence level = 80%

*Use a <em>t</em>-table for the critical value.
Compute the 80% confidence interval for difference between two means as follows:

Thus, the 80% confidence interval for difference between two means is (0.85, 1.55).
Solve for X on both equations
2x - 2 < -12
Add two on both sides
2x < -10
Divide by two on both sides
2 < -5
2x + 3 > 7
Subtract three on both sides
2x > 4
Divide by two on both sides
x > 2
A. x < -5 or x > 2
31 x 7.875 = 244.125
244.125 inches altogether
Answer: x = 5/2
Step-by-step explanation:
Answer:
Probability that deliberation will last between 12 and 15 hours is 0.1725.
Step-by-step explanation:
We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.
<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>
So, X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= mean time = 12.56 hours
= standard deviation = 6.7 hours
So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X
12)
P(X < 15) = P(
<
) = P(Z < 0.36) = 0.64058
P(X
12) = P(
) = P(Z
-0.08) = 1 - P(Z < 0.08)
= 1 - 0.53188 = 0.46812
<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>
Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.