Question

In: Statistics and Probability

Case 1: The Pianicasu company, dedicated to the production of cola, launched a campaign to reposition...

Case 1: The Pianicasu company, dedicated to the production of cola, launched a campaign to reposition its products with the aim of increasing its presence in the segments with the highest socioeconomic level. Median monthly income before the campaign was known to be $ 8,000. The campaign consisted of changing the label of the drinks, using other advertising channels and increasing the price of their products. At the end of the campaign, a random sample of 80 clients was taken, who had their average annual salary of $ 9,500 and a standard deviation of $ 1,800. With a significance level of 5%

Was the campaign successful? Was there a significant increase in the average monthly income of customers? Justify your answer.

Solutions

Expert Solution

Answer:

Given Data

Yes it Must be done with the t statistic because population standard deviation is unknown.

NULL HYPOTHESIS

ALTERNATIVE HYPOTHESIS

LEVEL OF SIGNIFICANCE =0.05

test statistic

  

Since P -value SMALLER THAN 0.05

THEREFORE SIGNIFICANT

DECISION: REJECT NULL HYPOTHESIS H0.

CONCLUSION: We have sufficient evidence to conclude that there is a significant increase in the average monthly income of customers at 0.05 level of significance.

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