Answer:
The correct option is;
d. 24.2 to 25.6
Step-by-step explanation:
Here we have a sample with unknown population standard deviation, we therefore apply the student t distribution at 64 - 1 degrees of freedom
Therefore, we have
Where:
= Mean = 25
σ = Standard deviation = 2
n = Sample size = 64
t = T value at 98% = 
Which gives
That is the value is from
24.40325 to 25.59675 which gives,by rounding to one decimal place, is
24.4 to 25.6.
The exponential equation in its generic form is:
y = A * (b) ^ t
Where,
A: initial amount
b: base (Growth rate for b> 1. Decrease rate for b <1.)
t: time.
We have then that the equation is:
N = 40.25 (1.0394) ^ t
The base is:
b = 1.0394> 1 (it is a growth rate)
Answer:
The base, b, of the exponential model is:
b = 1.0394
the base is a growth rate
Answer:it would take him five weeks to lose ten pounds
Step-by-step explanation:
To solve this problem, we can use the z statistic to find
for the probability. The formula for z score is:
z = (x – u) / s
Where,
u = the sample mean = 68
s = standard deviation of the samples = 12
x = sample value = 70
In this case, what is asked is the probability that the
sample mean is larger than 70, therefore this corresponds to the right of z on
the graph of normal distribution.
z = (70 – 68) / 12
z = 2 / 12
z = 0.17
Therefore finding for P at z ≥ 0.17 using the standard
distribution tables:
P (z = 0.17) = 0.5675
But this is not the answer yet since this is the P to the
left of z. Therefore the correct one is:
P (z ≥ 0.17) = 1 - 0.5675
P (z ≥ 0.17) = 0.4325 = 43.25%
<span>The probability that the sample mean is larger than 70 is
43.25%</span>
