AIMA Solved Assignments for GM03
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Subject Code: GM03
Subject Name: BUSINESS STATISTICS
Component name: ASSIGNMENT 1
Question 1:- The 79th term of the series 2, 5, 8, 11,…… is
a) 230
b) 233
c) 236
d) 239
Question 2:- Which of the following is not a measure of central tendency?
a) Geometric mean
b) Median
c) Mode
d) None of the above
Question 3:- An investment expert state that the returns on stock markets in the next year will be 26%. This is an example of
a) Classical probability
b) Probability distribution of events
c) Subjective probability
d) Related events
Question 4:- Baye`s Theorem allows us to revise
a) Pior Probabilities
b) Posterior Probabilities
c) Unique probabilities
d) None of the above
Question 5:- In Statistics the collection of all the elements under study is called:
a) Domain
b) Population
c) Range
d) Central Pool
Question 6:- If P(A), P(B) and P(B|A) are 0.4, 0.5,0.7 respectively, then P(A|B) is
a) 0.14
b) 0.286
c) 0.32
d) 0.56
Question 7:- If P(A|B) = P(A) then
a) A and B are independent
b) A and B are dependent
c) P(A) = P(B)
d) None of the above
Question 8:- Which of the following is a relative measure of dispersion?
a) standard deviation
b) variance
c) coefficient of variation
d) All the above
Question 9:- Which of the following is a positional average?
a) Arithmetic mean
b) Geometric mean
c) Harmonic mean
d) Median
Question 10:- The probability of a random value chosen being larger than its median value for a population of 23 items is
a) 0.25
b) 0.478
c) 0.5
d) 0.565
Question 11:- The standard deviation of a group of values is 2. If all the values in the group are multiplied by 3 then the variance of the group
will be:
a) 36
b) 12
c) 18
d) 4
Question 12:- How many samples of size 2 can be selected from a population of 5 with replacement?
a) 10
b) 25
c) 32
d) None of the above
Question 13:- If P(A) = 0.4, P(B) =0.6 and P(A∩B) = 0.3, then
a) A and B are independent
b) A and B are dependent
c) P(A) and P(B) are mutually exclusive
d) None of the above
Question 14:- How many samples of size 2 can be selected from a population of 5 without replacement?
a) 10
b) 25
c) 32
d) None of the above
Question 15:- The skewness of a distribution is indicated by
a) Histogram
b) Ogive
c) Frequency polygon
d) Cumulative frequency table
Question 16:- A normal curve is
a) Always symmetrical
b) Symmetrical in most cases
c) Positively skewed
d) Negatively skewed
Question 17:- If events A and B do not overlap each other in a Venn diagram, then A and B are
a) Mutually exclusive
b) Dependent
c) Independent
d) None of the above
Question 18:- The median is
a) 1st quartile
b) 2nd quartile
c) 3rd quartile
d) None of the above
Question 19:- What is the major assumption that one makes, when computing a mean from a grouped data?
a) All values are discrete
b) No value occurs more than once
c) Every value in a class is equal to its mid point
d) Each class contains exactly the same number of values
Question 20:- The probability that an observation will lie in the interval -1.96 to 1.96 in a standard normal distribution is
a) 95.40%
b) 95%
c) 95.50%
d) 99%
Subject Code: GM03
Subject Name: BUSINESS STATISTICS
Component name: ASSIGNMENT 2
Question 1:- Assume that height of 3000 male students at a University is normally distributed with a mean of 173 cm. Also assume that from this population of 3000 all possible samples of size 25 were taken. What is the mean of the resulting sampling distribution?
a) 165
b) 173
c) 181
d) 170
Question 2:- If the population variance is 81 and sample size is 9, considering an infinite population then the standard error is
a) 9
b) 3
c) 27
d) none of the above
Question 3:- In testing hypothesis, the decision to use a single tail or two tailed tests depends on
a) the sample size
b) alternative hypothesis
c) null hypothesis
d) none of the above
Question 4:- Which of the following is an example of a Type I error. The null hypothesis is :
a) true and accepted
b) false and is rejected
c) true and is rejected
d) none of the above
Question 5:- As the degrees of freedom increases
a) The normal distribution approaches t- distribution
b) The t-distribution approaches normal distribution
c) Binomial distribution approaches F distribution
d) none of the above
Question 6:- The random variables X and Y are said to be independent if
a) when standard deviations are equal
b) Cov ( X,Y) = 0
c) mean of X is equal to Mean of Y
d) Their probability distribution is same.
Question 7:- The central limit theorem
a) requires some knowledge of frequency distribution
b) relates the shape of the sampling distribution of the mean to the mean of the sample
c) permits us to use sample statistics to make inferences about population parameters
d) all the above
Question 8:- In hypothesis testing `α` indicates
a) The probability of committing a type I error
b) The probability of not committing a Type I error
c) The probability of committing a Type II error
d) All the above
Question 9:- Sample statistics is used to estimate
a) sampling distribution
b) sample characteristics
c) population parameters
d) population size
Question 10:- When the null hypothesis is accepted, it is possible that:
a) A correct decision is made
b) A type II error has been made
c) both (a) and (b)
d) none of the above
Question 11:- The standard normal distribution has
a) mean = 1 and sd =0
b) mean = 1 and sd =1
c) mean =0 and sd =0
d) mean =0 and sd =1
Question 12:- A probability distribution must sum up to
a) 100
b) 1
c) 0
d) total number of events
Question 13:- sample mean is an unbiased estimator of
a) population variance
b) population proportion
c) standard error of mean
d) population mean
Question 14:- The probability of getting two heads in three tosses of a fair coin is
a) 0.375
b) 0.285
c) 0.3
d) 0.345
Question 15:- A confidence interval is also known as
a) interval estimate
b) central estimate
c) confidence level
d) all the above
Question 16:- when estimating the population mean from a sample taken from a normal population with unknown variance, the t-distribution may be used with number of degrees of freedom equal to
a) sample size
b) sample size +1
c) sample size -1
d) none of the above
Question 17:- The Central Limit theorem claims that the sampling distribution of the mean ________.
a) is always normal
b) is always normal for large sample size increases
c) approaches normally as sample size increases
d) none of the above
Question 18:- Assume that height of 3000 male students at a University is normally distributed with a standard deviation of 8 cms. Also assume that from this population of 3000 all possible samples of size 25 were taken . What is the standard deviation of the resulting sampling distribution?
a) 1.6 cm
b) 8.02 cm
c) 10.3cm
d) 16.8cm
Question 19:- For a chi-square test with 3 rows and 4 columns the degrees of freedom is
a) 6
b) 3
c) 4
d) 12
Question 20:- In hypothesis testing, the power of test is equal to
a) α
b) β
c) 1-α
d) 1-β