A Chicago-based firm has documents that must be quickly distributed to district offices throughout the U.S. The firm must de- cide between two delivery services, UPX (United Parcel Express) and INTEX (International Express), to transport its documents. In testing the delivery times of the two services, the firm sent two reports to a random sample of its district offices with one report carried by UPX and the other report carried by INTEX. Do the data on the next slide indicate a difference in mean delivery times for the two services? Use a .05 level of significance. [Hint: Perform a hypothesis test for difference for matched/paired samples, D = X1 − X2] (a) State the hypothesis.(b) Decide the significance level.(c) Calculate the test statistic. The following table displays data from various district offices, indicating their performance metrics in two categories: UPX (\(X_1\)) and INTEX (\(X_2\)).| **District Office** | **UPX (\(X_1\))** | **INTEX (\(X_2\))** ||---------------------|------------------|-------------------|| Seattle | 32 | 25 || Los Angeles | 30 | 24 || Boston | 19 | 15 || Cleveland | 16 | 15 || New York | 15 | 13 || Houston | 18 | 15 || Atlanta | 14 | 15 || St. Louis | 10 | 8 || Milwaukee | 7 | 9 || Denver | 16 | 11 |**Explanation of the Table:**- **District Office**: Lists the city or location of each district office being analyzed.- **UPX (\(X_1\))**: Represents the performance metric labeled as UPX for each district.- **INTEX (\(X_2\))**: Represents the performance metric labeled as INTEX for each district.This table can be used to compare the performance of each district office across the two given metrics.

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Answered: (a) State the hypothesis. (b) Decide…

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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A Chicago-based firm has documents that must be quickly distributed to district offices throughout the U.S. The firm must de- cide between two delivery services, UPX (United Parcel Express) and INTEX (International Express), to transport its documents. In testing the delivery times of the two services, the firm sent two reports to a random sample of its district offices with one report carried by UPX and the other report carried by INTEX. Do the data on the next slide indicate a difference in mean delivery times for the two services? Use a .05 level of significance. [Hint: Perform a hypothesis test for difference for matched/paired samples, D = X1 − X2]

(a) State the hypothesis.

(b) Decide the significance level.