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The document describes a test of a brand manager's claim about a sales increase following an advertising campaign. Fifteen cities were chosen for a pilot test that collected pre- and post-advertising sales data. The brand manager claims sales increased by 50% more than twice the pre-advertising sales. The document provides data on the daily output of two and three machines and outlines a null hypothesis test to evaluate whether the sales increase claim can be rejected at the 0.05 significance level.
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![*The Null Hypothesis is:
*H0: 袖1= 袖2 +袖3 alternatively 袖1-( 袖2 +袖3)=0
*H1: 袖1> 袖2 +袖3
*The unbiased estimate for 袖1- 袖2 -袖3 is x1bar-
x2bar-x3bar.
*The distribution is normal with:
*Mean= 袖1- 袖2-袖3
*Variance= [(1^2)/n1]+ [(2^2)/n2]+[ (3^2)/n3]
*
*There under H0:
*The value of the statistic is:
*[x1bar-x2bar-x3bar]/variance
*The 1^2, 2^2, 3^2 can be unbiased estimated by
s1^2,s262 & s3^2 respectively](https://image.slidesharecdn.com/ppt-130822024113-phpapp01/85/Ppt-5-320.jpg)
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Key Insights from the Document
Hybrid Work is Here to Stay :
Employees expect flexibility (e.g., hybrid or remote work).
Younger employees may prefer more office time, while parents value remote flexibility.
Outcome-based performance is replacing "hustle culture" (presence-focused work).
AI Adoption & Digital Infrastructure :
AI is reshaping business strategies and workflows.
Investment in AI must be balanced with digital inclusion (access to fast internet, upskilling).
Smaller teams can compete with large players (e.g., DeepSeeks $6M AI breakthrough).
Talent Mobility & Global Talent Markets :
Global labor shortages are pushing companies toward international hiring and digital nomad policies.
Estonia, Saudi Arabia, and Jordan are emerging as progressive locations for flexible work visas.
Workplace Culture Wars & Geopolitical Tensions :
Cultural polarization and geopolitical issues (e.g., Ukraine war, Gaza-Israel conflict) are increasingly affecting workplace dynamics.
Building inclusive, adaptable cultures is critical in a distributed workforce.
Wellbeing & Employee Expectations :
Flexibility and wellbeing are now top employee expectations.
64% of companies view wellbeing as key to talent retention, surpassing wage increases.
The Rise of the Human+Machine Workplace :
Generative AI and Agentic AI will become central to productivity.
Intentional digital habits and AI literacy will be essential skills.
Globalization of Values and Purpose-Driven Work :
Workers seek alignment with personal values, purpose, and transparency.
Startups offering meaningful impact and mission-driven roles have an edge in attracting top talent.
Top Trends Shaping the Future of Work
Flexible Work Models
Hybrid and remote work dominate; location independence grows
Offer flexible schedules and remote-friendly infrastructure
AI-Augmented Workflows
AI tools enhance productivity but require new skill sets
Invest in AI training, ethical use frameworks, and integration into core workflows
Digital Nomadism
Countries like Estonia offer digital nomad visas
Consider global hiring pools and cross-border team structures
Outcome-Based Performance
Measuring results over hours worked
Shift KPIs and OKRs to focus on deliverables, not activity
Cultural Inclusivity
Diverse and inclusive cultures drive engagement
Build DEI initiatives that reflect local and global perspectives
Distributed Team Collaboration
Remote-first collaboration tools are essential
Use asynchronous communication and invest in virtual onboarding
Wellness-Centric Benefits
Mental health and flexibility are non-negotiables
Offer wellness programs, mental health days, and flexible PTO
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Ppt
- 2. *3) HUL has thought to aggressively market its products via new advertisements. To run a pilot test on the impact of the advertisements, the company has chosen 15 cities and collected the pre advertisement and post advertisement sales for the same. The Brand Manager claims that the impact of the advertisement have been really successful and boosted the sales of the company by 50 more than twice the sales. Test the managers claim that the sales have increased 50 more than twice the sales before. Use a 0.05 level of significance.
- 3. * 4) The following data refers to the daily output of 2 machines Machine 1 Machine 2 Production Level Frequency Production Level Frequency 38 40 32 36 35 12 8 15 10 5 17 20 18 13 22 13 4 15 5 10
- 4. 5)The following data refers to the daily output of 3 machines. Machine 1 Machine 2 Machine 3 Production Level Frequency Production Level Frequency Production Level Frequency 38 40 32 36 35 12 8 15 10 5 17 20 18 13 22 13 4 15 5 10 15 14 20 21 13 15 8 20 2 3
- 5. *The Null Hypothesis is: *H0: 袖1= 袖2 +袖3 alternatively 袖1-( 袖2 +袖3)=0 *H1: 袖1> 袖2 +袖3 *The unbiased estimate for 袖1- 袖2 -袖3 is x1bar- x2bar-x3bar. *The distribution is normal with: *Mean= 袖1- 袖2-袖3 *Variance= [(1^2)/n1]+ [(2^2)/n2]+[ (3^2)/n3] * *There under H0: *The value of the statistic is: *[x1bar-x2bar-x3bar]/variance *The 1^2, 2^2, 3^2 can be unbiased estimated by s1^2,s262 & s3^2 respectively