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Nishkam Razdan
Nishkam Razdan

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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*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 manager’s claim that the sales have increased 50 more than twice the sales before. Use a 0.05 level of significance.
* 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
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
*The Null Hypothesis is: *H0: µ1= µ2 +µ3 alternatively µ1-( µ2 +µ3)=0 *H1: µ1> µ2 +µ3 *The unbiased estimate for µ1- µ2 -µ3 is x1bar- x2bar-x3bar. *The distribution is normal with: *Mean= µ1- µ2-µ3 *Variance= [(σ1^2)/n1]+ [(σ2^2)/n2]+[ (σ3^2)/n3] * *There under H0: *The value of the statistic is: *[x1bar-x2bar-x3bar]/variance *The σ1^2, σ2^2, σ3^2 can be unbiased estimated by s1^2,s262 & s3^2 respectively
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  • 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 manager’s 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: µ1= µ2 +µ3 alternatively µ1-( µ2 +µ3)=0 *H1: µ1> µ2 +µ3 *The unbiased estimate for µ1- µ2 -µ3 is x1bar- x2bar-x3bar. *The distribution is normal with: *Mean= µ1- µ2-µ3 *Variance= [(σ1^2)/n1]+ [(σ2^2)/n2]+[ (σ3^2)/n3] * *There under H0: *The value of the statistic is: *[x1bar-x2bar-x3bar]/variance *The σ1^2, σ2^2, σ3^2 can be unbiased estimated by s1^2,s262 & s3^2 respectively