# Marion Diaries

Words: 506 | Pages: 3

This essay sample was donated by a student to help the academic community. Papers provided by Pro-Papers writers usually outdo students' samples.

Case Problem # 6 Marion Diaries

Student’s Name

Institutional Affiliation

Course Number and Name

Instructor Name

Due Date

Case Problem # 6 Marion Diaries

Managerial Report

The entry of Marion Dairies into the yogurt market has so far yielded meaningful positive outcomes. In particular, the cautious production, distribution, and marketing of Blugurt have been successful. The sales report indicates that in the past year, the volume of purchases of Blugurt was higher than the original projections. The remarkable success recorded by Blugurt in sales and consumer approval has influenced the management of Marion Dairies to consider launching a second yogurt flavor in the market. Specifically, the marketing unit is proposing that the company should extend its product line by launching Strawgurt, a strawberry-flavored yogurt. However, Marion Dairies’ top executives are uncertain of whether the recommendation by the marketing department is feasible, especially with regard to increasing the firm’s market share by attracting prospective customers who do not find Blugurt appealing. The marketing unit of Marion Dairies has initiated a market survey to measure the feasibility of introducing strawberry yogurt into the market. The purpose of the present managerial report is to summarize the probabilities linked with the sample used by the marketing department and to make appropriate considerations for increasing the sample size.

Analysis of the Probabilities

1. Calculate the probability that the mean score of Blugurt given by the simple random sample of Marion Dairies customers will be 75 or less (Round your answer to four decimal places.)

Computation Formula

Where,

z= standard score

X= data point in question

μ= population mean

σ= standard deviation

The sampling size =50

Standard deviation=25

Mean=80

Therefore,

z = (75-80)/(25/50)= -1.41

P(z ≤-1.41)= 0.5-0.42073= 0.0793%

2. If the Marketing Department increases the sample size to 140, what is the probability that the mean score of Blugurt given by the simple random sample of Marion Dairies customers will be 75 or less? (Round your answer to four decimal places.)

Computation Formula

Where,

z= standard score

X= data point in question

μ= population mean

σ= standard deviation

The sampling size =50

Standard deviation=25

Mean=80

Therefore,

z = (75-80)/(25/150)= -2.45

P(z ≤-2.4494)= 0.5-0.49266= 0.0073=0.73%

Discussion

The probabilities of the samples proposed by the marketing department are distinct because of the change in the sample size. A larger sample size produces a smaller standard error and vice-versa for a smaller sample size.

## Work Cited

1

But I must explain to you how all this mistaken idea of denouncing pleasure and praising pain was born and I will give you a complete account of the system, and expound the actual teachings of the great explorer of the truth, the master-builder of human happiness.

2

"At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident."

3

"On the other hand, we denounce with righteous indignation and dislike men who are so beguiled and demoralized by the charms of pleasure of the moment, so blinded by desire, that they cannot foresee the pain and trouble that are bound to ensue."

Try it now!

USD
10

## Related samples

Explore Alexander the Great's visionary approach to empire-building. Uncover his innovative governance and administration strategies that meldedā¦ .

Alexander The Great Essay Examples

0 / 5

363

Explore the profound influence of socialization on human behavior in this article. Uncover the intricate ways cultural norms and values shapeā¦ .

Human Behavior Essay Examples

0 / 5

160

Examine the significance of baptism in ecumenical dialogue, illustrating its role as a catalyst for understanding, reconciliation, and collectiveā¦ .

Baptism Essay Examples

0 / 5

110

## We can take care of your essay

We really care about our clients and strive to provide the best customer experience for everyone.

Fair and Flexible Cost

Fair and flexible cost affordable for every student.

Plagiarism-free Papers

Plagiarized texts are unacceptable in the academic community, and our team knows it perfectly well. For this reason, we have strict plagiarism detection tools which we use for each of our orders.