Answered: Assume that we want to construct a…

Name: Assume that we want to construct a confidence interval. Do one of the
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Description: Assume that we want to construct a confidence interval. Do one of the following, asappropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, OR (c) state that neither the normal distribution nor the t distribution applies.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that we want to construct a confidence interval. Do one of the following, asappropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, OR (c) state that neither the normal distribution nor the t distribution applies.

The confidence level is 90%, σ is not known, and the normal quantile plot of the 17 salaries(in thousands of dollars) of basketball players on a team is as shown.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

if,

A.tα/2=?

(1.75 is not the right calculation for 'A' when i asked it earlier)(Round to two decimal places as needed.)

if,

B.zα/2=?(Round to two decimal places as needed.)

if,

C.Neither the normal distribution nor the t distribution applies.

The image shows a scatter plot with a linear regression line.

**Graph Details:**

- **X-Axis:** Labeled as "X Values," with tick marks at intervals: 4200, 8400, 12600, 16800, and 21000.
- **Y-Axis:** Labeled as "z score," ranging from -2 to 2 with intervals of 0.4.
- **Data Points:** Represented by blue dots scattered across the graph.
- **Trend Line:** A red line represents a linear regression fitted to the data, indicating the overall trend.

The scatter plot demonstrates the relationship between the X values and the corresponding z scores. As the X values increase, the z scores tend to increase, as shown by the upward slope of the red trend line.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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