Answer:
Yes, both np and n(1-p) are ≥ 10
Mean = 0.12 ; Standard deviation = 0.02004
Yes. There is a less than 5% chance of this happening by random variation. 0.034839
Step-by-step explanation:
Given that :
p = 12% = 0.12 ;
Sample size, n = 263
np = 263 * 0.12 = 31.56
n(1 - p) = 263(1 - 0.12) = 263 * 0.88 = 231.44
According to the central limit theorem, distribution of sample proportion approximately follow normal distribution with mean of p = 0.12 and standard deviation sqrt(p*(1 - p)/n) = sqrt (0.12 *0.88)/n = sqrt(0.0004015) = 0.02004
Z = (x - mean) / standard deviation
x = 22 / 263 = 0.08365
Z = (0.08365 - 0.12) / 0.02004
Z = −1.813872
Z = - 1.814
P(Z < −1.814) = 0.034839 (Z probability calculator)
Yes, it is unusual
0.034 < 0.05 (Hence, There is a less than 5% chance of this happening by random variation.
30^2= 30×30=900 so 30^2 is the answer
I believe I already explained this the numbers are 35 and 36 but if you need an explanation someone else posted the same question, but maybe it was you. Anyway, good luck!
Answer:
(a)8.0mg
(b)36.87 hours
(c)-0.168
Step-by-step explanation:
The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function 
(t in hours)
(a)After 12 Hours
(b)If A(t)=5mg
Then:
(c)
