7/19 If my answers correct.
Answer: Mean = 9, Standard Deviation = 2.6
The number would have to be <u>16</u>. 64 does not divide by 24, 28, or 36 to equal any whole number
<h2>
Answer:</h2>
The values of sinθ and tanθ are:
and
<h2>
Step-by-step explanation:</h2>
It is given that:
where
i.e. the angle θ lie in the second quadrant.
Also, we know that in the second quadrant sine and cosecant function is positive.
whereas cosine,secant, tangent and cotangent functions are negative.
Now, we know that:
i.e. here
Hence, we have:
Also,
Now, on rationalizing we have:
a. Find the probability that an individual distance is
greater than 214.30 cm
We find for the value of z score using the formula:
z = (x – u) / s
z = (214.30 – 205) / 8.3
z = 1.12
Since we are looking for x > 214.30 cm, we use the
right tailed test to find for P at z = 1.12 from the tables:
P = 0.1314
b. Find the probability that the mean for 20 randomly
selected distances is greater than 202.80 cm
We find for the value of z score using the formula:
z = (x – u) / s
z = (202.80 – 205) / 8.3
z = -0.265
Since we are looking for x > 202.80 cm, we use the
right tailed test to find for P at z = -0.265 from the tables:
P = 0.6045
c. Why can the normal distribution be used in part (b),
even though the sample size does not exceed 30?
I believe this is because we are given the population
standard deviation sigma rather than the sample standard deviation. So we can
use the z test.
