1. The management of MBSG Ltd, an elite investment house, is interested in analysing the variation in their revenue since inception. The summary statistics for 36 randomly selected months are presented below. Revenue in Millions of Dollars Valid N (listwise) Expected Normal Value Descriptive Statistics 10 N Minimum Maximum Mean Std. Deviation 36 11.6 6.819 1.2649 36 5.2 Normal Q-Q Plot of Revenue in Millions of Dollars 8 Observed Value 10 12

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1. The management of MBSG Ltd, an elite investment house, is interested in analysing the
variation in their revenue since inception. The summary statistics for 36 randomly selected
months are presented below.
Revenue in Millions of
Dollars
Valid N (listwise)
Expected Normal Value
10
Descriptive Statistics
9
N Minimum Maximum Mean Std. Deviation
36
5.2
11.6
6.819
1.2649
Normal Q-Q Plot of Revenue in Millions of Dollars
36
6
8
Observed Value
10
12
Transcribed Image Text:1. The management of MBSG Ltd, an elite investment house, is interested in analysing the variation in their revenue since inception. The summary statistics for 36 randomly selected months are presented below. Revenue in Millions of Dollars Valid N (listwise) Expected Normal Value 10 Descriptive Statistics 9 N Minimum Maximum Mean Std. Deviation 36 5.2 11.6 6.819 1.2649 Normal Q-Q Plot of Revenue in Millions of Dollars 36 6 8 Observed Value 10 12
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a) At the 90% level, estimate the standard deviation of the revenue for this company.
b) Using the estimate you created in (a), determine if the standard deviation is different from
$2 million.
c) Assuming that the population standard deviation is 1.5, determine the probability that the
sample standard deviation is greater than $2 million.
d) Now assume that the population standard deviation is not known. Determine that the
sample will produce a standard deviation that is as most ¾ of the population standard
deviation.
e) What assumption do you need to make for your results to be valid and determine if that
assumption is met. Explain why or why not.

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