Using the t-distribution, it is found that the 95% confidence interval for the mean number of people the houses were shown is (20.1, 27.9).
We have the <u>standard deviation for the sample</u>, hence the t-distribution is used to build the confidence interval. Important information are given by:
- Sample mean of
. - Sample standard deviation of
. - Sample size of

The confidence interval is:

In which t is the critical value for a <u>95% confidence interval with 23 - 1 = 22 df</u>, thus, looking at a calculator or at the t-table, it is found that t = 2.0739.
Then:


The 95% confidence interval for the mean number of people the houses were shown is (20.1, 27.9).
A similar problem is given at brainly.com/question/15180581
Answer:
10
Step-by-step explanation:
<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting the values, we get;

Multiplying both sides of the equation by 8, we get;

Simplifying, we get;


Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
They are both vertical angles.
The Solution:
From the graph, there is a point of intersection between the graphs of the two equations in the system. This implies that:
There is a viable solution to the given system of equations at the point where the two lines intersect, that is, at the point (26,34).
So, the correct answer is [option 3]