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The time required to start a business, defined as the number of days needed to complete the procedures to legally operate a business, in 20 developed countries and 20 emerging countries is included in the accompanying table. Complete parts (a) through (d) below. E Click the icon to view the data on the time to start a business. a. Assuming that the population variances for developed countries and emerging countries are equal, is there evidence of a difference in the mean time required = 0.05.) start a business between developed countries and emerging countries? (Use Let u, be the mean time required to start a business developed countries and let uz be the mean time required to start a business in emerging countries. What are the null and alternative hypotheses? O A. Ho: H *2 O B. Ho: H1 Sp2 H: H "P2 OD. Ho: H1 2P2 OC. Ho: H1 =P2 H: H 42 Number of days to start a business TTT Developed Countries (days) Emerging Countries (days) 25 30 3 29 115 10 22 15 7 17 6 17 33 19 6 14 8 29 12 6 11 7 22 29 10 14 16 6 26 7 7 16 21

The time required to start a business, defined as the number of days needed to complete the procedures to legally operate a business, in 20 developed countries and 20 emerging countries is included in the accompanying table. Complete parts (a) through (d) below. E Click the icon to view the data on the time to start a business. a. Assuming that the population variances for developed countries and emerging countries are equal, is there evidence of a difference in the mean time required = 0.05.) start a business between developed countries and emerging countries? (Use Let u, be the mean time required to start a business developed countries and let uz be the mean time required to start a business in emerging countries. What are the null and alternative hypotheses? O A. Ho: H *2 O B. Ho: H1 Sp2 H: H "P2 OD. Ho: H1 2P2 OC. Ho: H1 =P2 H: H 42 Number of days to start a business TTT Developed Countries (days) Emerging Countries (days) 25 30 3 29 115 10 22 15 7 17 6 17 33 19 6 14 8 29 12 6 11 7 22 29 10 14 16 6 26 7 7 16 21

MATLAB: An Introduction with Applications
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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### Understanding the Time Required to Start a Business The time required to start a business is defined as the number of days needed to complete the necessary legal procedures to operate a business. This data set includes information from 20 developed countries and 20 emerging countries. Below, we'll explore the potential differences in the mean time required between these two groups. #### Hypothesis Testing Assuming the population variances for developed and emerging countries are equal, we must determine if there is a significant difference in the mean time required to start a business between the two groups, with a significance level of \( \alpha = 0.05 \). Let \( \mu_1 \) be the mean time for developed countries and \( \mu_2 \) be the mean time for emerging countries. What are the null and alternative hypotheses? - **Option A** - \( H_0: \mu_1 \neq \mu_2 \) - \( H_1: \mu_1 = \mu_2 \) - **Option B** - \( H_0: \mu_1 \leq \mu_2 \) - \( H_1: \mu_1 > \mu_2 \) - **Option C** - \( H_0: \mu_1 = \mu_2 \) - \( H_1: \mu_1 \neq \mu_2 \) - **Option D** - \( H_0: \mu_1 \geq \mu_2 \) - \( H_1: \mu_1 < \mu_2 \) #### Data Table: Number of Days to Start a Business The table below displays the number of days required to start a business in each group: | Developed Countries (days) | Emerging Countries (days) | |----------------------------|----------------------------| | 25 | 30 | | 115 | 10 | | 7 | 17 | | 17 | 15 | | 33 | 6 | | 9 | 14 | | 6 | 7 | | 9 | 17 | | 2 | 22 | | 33 | 11 | | 7 | 12 | | 8 | 11 | | 24 | 74
Transcribed Image Text:### Understanding the Time Required to Start a Business The time required to start a business is defined as the number of days needed to complete the necessary legal procedures to operate a business. This data set includes information from 20 developed countries and 20 emerging countries. Below, we'll explore the potential differences in the mean time required between these two groups. #### Hypothesis Testing Assuming the population variances for developed and emerging countries are equal, we must determine if there is a significant difference in the mean time required to start a business between the two groups, with a significance level of \( \alpha = 0.05 \). Let \( \mu_1 \) be the mean time for developed countries and \( \mu_2 \) be the mean time for emerging countries. What are the null and alternative hypotheses? - **Option A** - \( H_0: \mu_1 \neq \mu_2 \) - \( H_1: \mu_1 = \mu_2 \) - **Option B** - \( H_0: \mu_1 \leq \mu_2 \) - \( H_1: \mu_1 > \mu_2 \) - **Option C** - \( H_0: \mu_1 = \mu_2 \) - \( H_1: \mu_1 \neq \mu_2 \) - **Option D** - \( H_0: \mu_1 \geq \mu_2 \) - \( H_1: \mu_1 < \mu_2 \) #### Data Table: Number of Days to Start a Business The table below displays the number of days required to start a business in each group: | Developed Countries (days) | Emerging Countries (days) | |----------------------------|----------------------------| | 25 | 30 | | 115 | 10 | | 7 | 17 | | 17 | 15 | | 33 | 6 | | 9 | 14 | | 6 | 7 | | 9 | 17 | | 2 | 22 | | 33 | 11 | | 7 | 12 | | 8 | 11 | | 24 | 74
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