Get NMIMS SOLVED ASSIGNMENT FOR BUSINESS STATISTICS SEPTEMBER 2019 call us at 8510092683 or mail us at
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NMIMS
BUSINESS STATISTICS SEPTEMBER 2019
ASSIGNMENT
NMIMS
CUSTOMISED ASSIGNMENTS
MBA SOLVED ASSIGNMENTS
NMIMS READYMADE SOLVED MBA JUNE 2019
ASSIGNMENTS
1. What is sampling distribution? An
automobile manufacturer claims that a particular model gets 28 KM per liter of
petrol, but the Environmental Protection Agency, using a sample of 50
automobiles of this model, finds the sample mean to be 26.8 km/ltr. From
previous studies, the population standard deviation is known to be 5 km/ltr.
Could we reasonably expect (within 2 standard errors) that we could select such
a sample if indeed the population mean is 28 km/ltr? Justify. (10 Marks)
2. Raj studios a
Tollywood casting company, is selecting a group of extras for a movie. The ages
of the first 30 men to be interviewed are.
|
50
|
56
|
55
|
|
54
|
55
|
61
|
|
49
|
52
|
57
|
|
60
|
51
|
59
|
|
56
|
57
|
56
|
|
62
|
52
|
54
|
|
55
|
49
|
52
|
|
61
|
60
|
51
|
|
57
|
56
|
59
|
|
52
|
54
|
49
|
The director of
the movie wants men whose ages are grouped around 50 years. The director
suggests that a standard deviation of 3 years would be acceptable. Does this
group of extras qualify to the director’s requirement?
3. Historically,
diesel has mostly been cheaper than petrol in South Africa, though this has not
always been the case, and not a trend seen around the world. One of the key
differences in the pricing of diesel versus petrol, is that diesel prices
reflect wholesale prices, not the price you would pay at the pumps. For
example, the wholesale inland diesel price for August was at R10.96 at the
beginning of the month, while Caltex’s retail version – Caltex 50 diesel with
Techron – sells at R11.33 per litre. Over the past decade, both the petrol and
diesel prices have seen some significant fluctuations, but petrol (95 grade)
has seen the biggest overall increase, having jumped 75.4% since 2006.
The
graph and table below show how the prices have changed year-on-year, between
August 2006 and August 2016.
|
Year
|
Petrol-Unleaded
93
|
Petrol-Unleaded
95
|
Diesel 0.05%
|
|
2006
|
R6.92
|
R7.04
|
R6.54
|
|
2007
|
R6.88
|
R7.01
|
R6.51
|
|
2008
|
R10.20
|
R10.40
|
R11.27
|
|
2009
|
R7.52
|
R7.69
|
R6.65
|
|
2010
|
R8.02
|
R8.17
|
R7.38
|
|
2011
|
R9.91
|
R10.09
|
R9.30
|
|
2012
|
R10.83
|
R11.04
|
R10.25
|
|
2013
|
R13.32
|
R13.55
|
R12.48
|
|
2014
|
R14.08
|
R14.33
|
R12.84
|
|
2015
|
R13.01
|
R13.26
|
R10.94
|
|
2016
|
R12.08
|
R12.35
|
R10.96
|
Source:
Department of Energy; Inland prices, August
The fuel price is
affected by two major components: the global oil price, and the currency
exchange rate between the rand and the dollar. Between 2014 and 2016, fuel
prices (both diesel and petrol) have shown a year-on-year decline, boosted by a
much lower global oil price, which has dropped below $50 a barrel, with little
hope that it will balloon past that level in the near future. However, much of
the benefit delivered by lower oil prices has been undone by weakness in the
rand – brought about by a struggling economy, poor growth policies and a number
of political scandals involving president Jacob Zuma.
(Source: https://businesstech.co.za/news/energy/134400/petrol-vs-diesel-prices-in-south-africa-2006-2016/)
a. Explore the
trend in the petrol price (for both unleaded 93 and unleaded 95) using
regression trend analysis. Using the data, forecast the petrol price for 2017,
2018 and 2019. (5 Marks)
b. Explore the
trend in the diesel price using regression trend analysis. Using the data,
forecast the diesel price for 2017, 2018 and 2019. Out of the three regression
models, which model is the strongest in predicting the fuel price? (5 Marks)
Get NMIMS SOLVED ASSIGNMENTS MBA SEPTEMBER
2019 call us at 8510092683 or mail us at
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