Q:1 Define an unbiased estimator.
Q:2 While applying the chi-square goodness of fit test, what is the assumption about relationship of the observations in the sample?
Q:3 If n=12 and = 5% then find the value of If n=12 and = 5% then find the value of N=12= 5%=
Q:4 Fill in the missing value in the formula.
Q:5 From the given data, calculate mean and standard deviation of sampling distribution of mean if the sampling is done with replacement.
Q: 6 Two methods of determining the moisture content of samples of canned corn have been proposed and both have been used to make determinations on proportions taken from each of 21 cans. Method I is easier to apply but appears to be more variable than Method II. If the variability of Method I were not more than 25 per cent greater than that of Method II. State null and alternative hypothesis and also write down suitable test-statistic about the said hypothesis.
Q: 7Find the sample size.
Q:8 A card is drawn from a well shuffled pack of 52 cards. What is the probability that it is a
Card of Jack
King card or jack card
Q:9 Compute the coefficient of variation (C.V.) of commodity X.
Commodity (X): 5, 11, 13, 23, 29
Q:10 Construct the sampling distribution of proportions from the following table. Also find its mean and variance.
2/3 3
1 1
Sum 4
Q:11 A process is in control when the average amount of instant coffee that is packed in a jar, is 6 oz. The standard deviation is 0.2 oz. A sample of 100 jars is selected at random and the sample average is found to be 6.1 oz. Is this process out of control?
While ().
Q:12, Construct a 98% confidence interval for the
variance ratio.
Q:2 While applying the chi-square goodness of fit test, what is the assumption about relationship of the observations in the sample?
Q:3 If n=12 and = 5% then find the value of If n=12 and = 5% then find the value of N=12= 5%=
Q:4 Fill in the missing value in the formula.
Q:5 From the given data, calculate mean and standard deviation of sampling distribution of mean if the sampling is done with replacement.
Q: 6 Two methods of determining the moisture content of samples of canned corn have been proposed and both have been used to make determinations on proportions taken from each of 21 cans. Method I is easier to apply but appears to be more variable than Method II. If the variability of Method I were not more than 25 per cent greater than that of Method II. State null and alternative hypothesis and also write down suitable test-statistic about the said hypothesis.
Q: 7Find the sample size.
Q:8 A card is drawn from a well shuffled pack of 52 cards. What is the probability that it is a
Card of Jack
King card or jack card
Q:9 Compute the coefficient of variation (C.V.) of commodity X.
Commodity (X): 5, 11, 13, 23, 29
Q:10 Construct the sampling distribution of proportions from the following table. Also find its mean and variance.
2/3 3
1 1
Sum 4
Q:11 A process is in control when the average amount of instant coffee that is packed in a jar, is 6 oz. The standard deviation is 0.2 oz. A sample of 100 jars is selected at random and the sample average is found to be 6.1 oz. Is this process out of control?
While ().
Q:12, Construct a 98% confidence interval for the
variance ratio.
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