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Statistisk analyse og produktionsoptimering for Marschall

  • Matematik
  • 2.g el. lign.
  • Afleveret til 7
  • 8 sider PDF

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Statistisk analyse og produktionsoptimering for Marschall er en matematik-opgave til 2.g el. lign., afleveret til karakteren 7. Fylder 8 sider (915 ord, ca. 4 min. læsning) og blev publiceret 12. marts 2020.

Denne opgave analyserer data fra smykkeforretningen Marschall. Den inkluderer en statistisk analyse af daglig omsætning, en chi-i-anden test af en markedsføringsundersøgelse om foretrukne smykkebrands og aldersgrupper, samt et optimeringsproblem for ringproduktion for at maksimere profit ved hjælp af lineær programmering.

Redaktørens vurdering
10 Fortrinlig
Omfattende opgave der anvender statistisk analyse, binomialfordeling, chi-i-anden test og lineær programmering på en case om en smykkeforretning. God struktur og relevant indhold.
Struktur
10
Faglig dybde
10
Kilder
7
Fuldstændighed
10
  • binomialfordeling
  • chi-i-anden test
  • lineær programmering
  • markedsundersøgelse
  • marschall
  • omsætningsanalyse
  • optimering
  • smykkeproduktion
  • statistisk analyse

Marschall is a jewelry store located in the pedestrian street in Tønder. The owner, [NAVN A] has registered the daily revenue over a period of 246 opening days in year 2017.

The table below shows an excerpt of the revenue during 219 days in year 2017 in the period January to November. This data can be found in the file marschall.

a) Make a graphical presentation showing the distribution of the revenue.

b) Determine the following 4 statistical descriptors of the revenue: Minimum value, maximum value, mean, and median.

Minimum value: 28

Maximum value: 15000

Mean: 2627,949772

Median: 1941

c) Determine the proportion of days with a revenue above DKK 3000. In a month there are approx. 25 opening days. Assume that the number of opening days with a revenue above DKK 3000 is binomially distributed with number of trials and probability of success.

The trials (n) in this case are the 219 days of revenue. Therefore n = 219

The success (x) is the 61 days with a revenue above 3000 sold. Therefore x = 61

To find the probability (p), we divide the success with the number of trials:

61219 = 0.28 (p)

d) Determine the probability that there are at least 10 days with a revenue above DKK 3000 out of 25 opening days.

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