SOLUTION: for a normal distribution if the value of mean is 70 and standard deviation is 15.75 find the points
(a) in which it contains 98% area between them
(b) in which it contains 95% a
Algebra.Com
Question 1191929: for a normal distribution if the value of mean is 70 and standard deviation is 15.75 find the points
(a) in which it contains 98% area between them
(b) in which it contains 95% area between them
(c) in which it contains 85% area between them
(d) in which 60% area between them
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
98% of the area between want z of 0.01 and 0.99 which is +/-2.326
95% of the area is z +/-1.96
85% of the area is between -0.075 and 0.925 for z of +/-1.44
60% of the area is between 0.2 and 0.8 for z of +/- 0.8416
z=(x-mean)/sd
2.326=(x-70)/15.75
x-70=36.63
x=106.63 and the other value is 33.37. (33.37, 106.63)
-
the second one is mean+/-1.96*15.75=30.87 (39.13, 100.87)
-
the third one is mean +/-22.68 (47.32, 92.68)
-
the fourth one is mean +/-0.8416 =13.26 for (56.74, 83.26)
RELATED QUESTIONS
For a normal distribution if the value of mean is 70 and standard deviation is 15.75 find (answered by Theo)
for a normal distribution if the value of mean is 70 and standard deviation is 15.75 find (answered by math_tutor2020)
for a normal distribution if the value of mean is 70 and standard deviation is 15.75 find (answered by CPhill)
ACT scores for each section are standardized so scores follow an approximately normal... (answered by ewatrrr)
Suppose you have a normal distribution of values with a mean of 70 and a standard... (answered by mathmate)
suppose in a normal distribution mean = 75 and standard deviation = 10 . find the data... (answered by ewatrrr)
The normal distribution for women's height has a mean of 65 inches and a standard... (answered by Boreal)
A normal distribution has mean 63 and standard deviation 5. Find the data value if the... (answered by jim_thompson5910)
If random samples of size 9 is taken from a normal distribution with mean 50 and standard (answered by stanbon)