Answer:
(a) 283 days
(b) 248 days
Step-by-step explanation:
The complete question is:
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 268 days and a standard deviation of 12 days. (a) What is the minimum pregnancy length that can be in the top 11% of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths?
Solution:
The random variable <em>X</em> can be defined as the pregnancy length in days.
Then, from the provided information .
(a)
The minimum pregnancy length that can be in the top 11% of pregnancy lengths implies that:
P (X > x) = 0.11
⇒ P (Z > z) = 0.11
⇒ <em>z</em> = 1.23
Compute the value of <em>x</em> as follows:
Thus, the minimum pregnancy length that can be in the top 11% of pregnancy lengths is 283 days.
(b)
The maximum pregnancy length that can be in the bottom 5% of pregnancy lengths implies that:
P (X < x) = 0.05
⇒ P (Z < z) = 0.05
⇒ <em>z</em> = -1.645
Compute the value of <em>x</em> as follows:
Thus, the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths is 248 days.
Answer:
The test to be used is <em>paired t-test</em>.
Step-by-step explanation:
The dependent <em>t</em>-test (also known as the paired t-test or paired-samples t-test) compares the two means of associated groups to conclude if there is a statistically significant difference between the two means.
We use the paired <em>t</em>-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.
For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.
The assumptions made to perform a paired <em>t</em>-test are:
- The data are not discreet
.
- The data i.e., the difference, follows a normal distribution
.
- Each individual from the whole population has a same possibility of being selected.
In this case, a random sample of 30 students were selected.
Each student was asked to memorize two different lists of 20 words within 10 minutes, once with music and once without music.
The mean difference in the number of words recalled in both the sets (1: with music, 2: without music) was recorded.
The experiment performed was a matched pair experiment and a paired <em>t</em>-test would be used to perform the analysis to determine whether listening to music while studying hinder students’ learning.
Answer: The answer I got is 3 and pls correct me if I'm wrong
Step-by-step explanation: y=2x+2 and (-1,3)
y=2x+2
3=2(-1)+2
3=-2+2
3=0
-0 =0
3
Answer:
Step-by-step explanation:
Before you can answer you have to solve the equation for y.
Y = 9/7 x+8/7
Parallel lines have the same slope so would also be 9/7
Perpendicular lines have opposite reciprocal slope so would be -7/9
i have less sympathy for ur crying when you copy and paste this question and ask it again three times. why dont you just ask it once? everyone answers anyway