The values listed below are waiting times (in minutes) of customers at two different banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers may enter any one of three different lines that have formed at three teller windows. Answer the following questions. Bank A 6.4 6.6 6.7 6.8 7.1 7.3 7.5 7.8 7.8 7.8 Bank B 4.2 5.5 5.8 6.2 6.7 7.7 7.7 8.5 9.3 10.0 E Click the icon to view the table of Chi-Square critical values. Construct a 99% confidence interval for the population standard deviation o at Bank A.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
And bank B
![### Analysis of Customer Waiting Times at Two Different Banks
The values listed below are waiting times (in minutes) of customers at two different banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers may enter any one of three different lines that have formed at three teller windows.
Below are the collected waiting times for each bank:
#### Waiting Times
| Time (mins) | Bank A | Bank B |
|:------------:|:------:|:------:|
| **Value 1** | 6.4 | 4.2 |
| **Value 2** | 6.6 | 5.5 |
| **Value 3** | 6.7 | 5.8 |
| **Value 4** | 6.8 | 6.2 |
| **Value 5** | 7.1 | 6.0 |
| **Value 6** | 7.3 | 7.7 |
| **Value 7** | 7.5 | 7.7 |
| **Value 8** | 7.8 | 8.5 |
| **Value 9** | 7.8 | 9.3 |
| **Value 10** | 7.8 | 10.0 |
#### Task
1. **Confidence Interval for Standard Deviation at Bank A:**
Construct a 99% confidence interval for the population standard deviation \(\sigma\) at Bank A.
#### Steps
- Click the icon to view the table of Chi-Square critical values.
- Use the given waiting times to calculate the confidence interval.
#### Calculation Template
\[
\text{min} < \sigma_{\text{Bank A}} < \text{min}
\]
*(Round to two decimal places as needed.)*
This information assists in understanding the differences in service efficiency between the two banks and helps to improve operational strategies.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77118ecc-eadc-491f-9762-2009f6b89d99%2F93130fca-52a9-4c37-a346-b2d9c849cbc5%2Fky6102b.jpeg&w=3840&q=75)
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