Answer:
Step-by-step explanation:
We are given the following in the question:
The needle size should not be too big and too small.
The diameter of the needle should be 1.65 mm.
We design the null and the alternate hypothesis

Sample size, n = 35
Sample mean,
= 1.64 mm
Sample standard deviation, s = 0.07 mm
Type I error:
- It is the error of rejecting the null hypothesis when it is true.
- It is also known as false positive error.
- It is the rejecting of a true null hypothesis.
Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.
Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.
Answer:
5391.76
Step-by-step explanation:
We have a rectangle and 2 semicircles
First find the area of the rectangle
A = l*w
A = 44*88= 3872
Then we know that 2 semicircles = 1 circle
The area of a circle is
A = pi r^2
The diameter is 44 so the radius is 22
A = pi * 22^2
A = pi484
A =1519.76
Add the areas together
1519.76+3872
5391.76
Answer:

Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is equal to

we have


substitute the values



step 2
Find the area of the circle
The area of the circle is equal to

substitute the values

