(d) Compute an exact 95% confidence interval for the population variance o? (e) Use the fact that S2 N(o2, 20) to compute an approximate 95% confidence interval for the population variance ơ? (f) Compare your answer from part (d) and (e)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![2. We have a random sample of size 17 from the normal distribution N(u, o?) where u and o?
are unknown. The sample mean and variance are = 4.7 and s = 5.76
(a) Compute an exact 95% confidence interval for the population mean u
(b) Compute an approximate (i.e. using a normal approximation) 95% confidence interval
for the population mean u
(c) Compare your answers from part a and b.
(d) Compute an exact 95% confidence interval for the population variance o?
(e) Use the fact that S2 N(o2, 20) to compute an approximate 95% confidence interval
for the population variance ơ?
(f) Compare your answer from part (d) and (e)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda72d959-cc0c-4ddc-b139-d92ba995ab24%2Fa222d3b5-e3a4-43f6-a55e-0430a03d78e3%2Fb85ks7d_processed.jpeg&w=3840&q=75)
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