Answer:
We are given that a Psychologist claims that less than 5.8 percent of the population suffers from professional problem due to extreme shyness.
We are supposed to set up the null and alternative hypotheses.
Since the claim is less than 5.8 percent, therefore, the claim will be mentioned in the alternative hypothesis. Hence the null and alternative hypotheses are given below:
Therefore, the option a. H0: p = 5.8% H1: p < 5.8% is correct
Given:
Perimeter of a rectangular paper = 22 inches.
Area of the rectangular paper = 28 square inches.
To find:
The dimensions of the rectangular paper.
Solution:
Let l be the length and w be the width of the rectangular paper.
Perimeter of a rectangle is:
Perimeter of a rectangular paper is 22 inches.
...(i)
Area of a rectangle is:
Area of the rectangular paper is 28 square inches.
Using (i), we get
Splitting the middle term, we get
Using zero product property, we get
If , then by using (i)
If , then by using (i)
Therefore, the dimensions of the paper are either or
.