01-31-2011, 05:57 AM
Question 1: (Marks: 5x1=5)
Give the answer of short questions.
a) When we use central limit theorem?
b) What is the technique to find the estimates of an infinite population?
c) , what do you say about the estimator T, where is a parameter?
d) How precision of an interval estimate can be increased?
e) If an 85% confidence interval is 27.5< <43.8, what does this statement mean?
Question 2: (Marks: 6+4=10)
a) In an finite population with and , find the mean and variance for the sampling distribution of if:
i)
ii)
iii)
b) Find the value of sample size in case of proportions.
Question 3: (Marks: 5+5+5=15)
a.
Test the hypothesis
b. The masses, in grams, of thirteen ball bearings seen at random from a batch are
21.4, 23.1, 25.9, 24.7, 23.4, 24.5, 25.0, 22.5, 26.9, 26.4, 25.8, 23.2, 21.9
Calculate a 95% confidence interval for the mean mass of the population.
c. If n=36, s=9 and t=2, what is the values of ?
Give the answer of short questions.
a) When we use central limit theorem?
b) What is the technique to find the estimates of an infinite population?
c) , what do you say about the estimator T, where is a parameter?
d) How precision of an interval estimate can be increased?
e) If an 85% confidence interval is 27.5< <43.8, what does this statement mean?
Question 2: (Marks: 6+4=10)
a) In an finite population with and , find the mean and variance for the sampling distribution of if:
i)
ii)
iii)
b) Find the value of sample size in case of proportions.
Question 3: (Marks: 5+5+5=15)
a.
Test the hypothesis
b. The masses, in grams, of thirteen ball bearings seen at random from a batch are
21.4, 23.1, 25.9, 24.7, 23.4, 24.5, 25.0, 22.5, 26.9, 26.4, 25.8, 23.2, 21.9
Calculate a 95% confidence interval for the mean mass of the population.
c. If n=36, s=9 and t=2, what is the values of ?