23b. Find the critical value t a/2 corresponding to a 95% confidence level **Airport Data Speeds Analysis****Overview:**This educational resource analyzes data speeds from a sample taken at airports, measured in Mbps (Megabits per second). The analysis includes a confidence interval to understand the range within which the true mean data speed likely falls.**Data Summary:**- **Confidence Interval (TInterval):** (13.046, 22.15)- **Sample Mean (x̄):** 17.598 Mbps- **Sample Standard Deviation (Sx):** 16.01712719 Mbps- **Sample Size (n):** 50**Analysis:****a. Confidence Interval Expression:**To express the confidence interval, use the "less than" symbol to define the range for the population mean (µ). The original data is rounded to one decimal place. Therefore, the confidence interval should also be rounded accordingly.*Expression:*- \(13.05 \text{ Mbps} < \mu < 22.15 \text{ Mbps}\)**Note:**Make sure to round the confidence interval limits to two decimal places as needed for clarity and precision in reporting.

Given: Sample mean, x=17.598 Sample standard deviation, Sx=16.01712719 Sample size, n=50 Confidence…

Answered: b. Find the critical value t a/2…

Math

Statistics

b. Find the critical value t a/2 corresponding to a 95% confidence level

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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Question

b. Find the critical value t a/2 corresponding to a 95% confidence level

**Airport Data Speeds Analysis**

**Overview:**
This educational resource analyzes data speeds from a sample taken at airports, measured in Mbps (Megabits per second). The analysis includes a confidence interval to understand the range within which the true mean data speed likely falls.

**Data Summary:**

- **Confidence Interval (TInterval):** (13.046, 22.15)
- **Sample Mean (x̄):** 17.598 Mbps
- **Sample Standard Deviation (Sx):** 16.01712719 Mbps
- **Sample Size (n):** 50

**Analysis:**

**a. Confidence Interval Expression:**
To express the confidence interval, use the "less than" symbol to define the range for the population mean (µ). The original data is rounded to one decimal place. Therefore, the confidence interval should also be rounded accordingly.

*Expression:*
- \(13.05 \text{ Mbps} < \mu < 22.15 \text{ Mbps}\)

**Note:**
Make sure to round the confidence interval limits to two decimal places as needed for clarity and precision in reporting.

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Follow-up Question

M23-2

Refer to the accompanying data display that results from a sample of airport data speeds in Mbps.
Complete parts (a) through (c) below.
TInterval
13.05 Mbps<μ< 22.15 Mbps
(Round to two decimal places as needed.)
b. Identify the best point estimate of μ and the margin of error.
The point estimate of μ is Mbps.
(Round to two decimal places as needed.)
(13.046,22.15)
x = 17.598
Sx= 16.01712719
n = 50
a. Express the confidence interval in the format that uses the "less than" symbol. Given that the original listed data use one decimal place,
round the confidence interval limits accordingly.

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