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1 |
a) |
What are minitab
macros? Discuss its types. |
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b) |
Write a minitab macro to simulate
tossing of a die 2000 times. Find the proportion of even numbers appeared. |
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2 |
a) |
Write a minitab macro to find mean
deviation of values given in any column of worksheet. |
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b) |
Write a Minitab macro to draw a systematic random sample of size n from a
population of size N. Population may be stored in a column on Minitab
worksheet |
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3 |
a) |
Suppose you have data of 9876 students who have appeared in
an entry test examination for admission to M.Sc. Statistics. Data is
available in a column of the worksheet. Write a Minitab macro which
calculates the percentile to the marks of a given student. |
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b) |
Compare and contrast the
coding methods available in SPSS and Minitab. |
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4 |
a) |
Define p-value approach in
testing of hypothesis. How will you calculate p-value for a z-test.
Account for problems in calculation of p-value for t-test and F-test
without using statistical software. Write down command in R and Minitab to
get p-value for a given value of 't' and 'F' test statistic. |
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b) |
Compare and contrast the
methods of testing hypothesis of single , two or more than two mean
available in R and Minitab. |
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5 |
a) |
What do you know about functions in
R. Explain arithmetic operators available in R. |
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b) |
Create a function in R, that will
calculate the number of divisors of any integer given by the user. It also
displays all the divisors. |
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6 |
a) |
Write a function in R to calculate
number of combinations. Values of n and r are provided by the user. |
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b) |
Create a function in R to find that
how many times an integer appears in a given vector. |
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7 |
a) |
Write a function in R to print the
following pattern using any loop statement
1 2 3
4 5
1 2
3 4
1 2
3
1 2
1
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b) |
Implement a fizzbuzz function.
It takes a single number as input. If the number is divisible by three, it
returns "fizz". If it's divisible by five it returns "buzz". If it's
divisible by three and five, it returns "fizzbuzz". Otherwise, it returns
the number. |
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8 |
a) |
Write a function that
calculates the geometric mean of a vector x = (x1, . . . , xn)
and returns an error message if any element of x is negative. |
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b) |
Write a function that
calculates the complete binomial probability distribution for given values
of the parameters 'n' and 'p'. |
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