Write a short note on application of the Harmonic Mean: (2 marks)
Why t-distribution is a whole family of distributions? (2 marks)
While applying the chi-square goodness of fit test, what is the assumption about relationship of the frequencies of different categories in the sample? (2 marks)
Suppose we want to determine the proportions of smokers and non smoker in a city? In this situation what type of distribution we can use? (2 marks)
In which condition, Poisson distribution is used to approximate the hypergeometric distribution?
(3 marks)
Write down critical region for the following hypothesis at 5% level of significance. (3 marks)
Elaborate the Least Significant Difference (LSD) test. (3 marks)
For a certain data: (3 marks)
Mean = 3.8
Median = 2.3
and Standard Deviation = 1.3
Find Pearson’s coefficient of skewness.
If mean of a distribution is 25 and standard deviation is 5. Find out the limits by applying Chebychev’s Inequality for k= 2 and k=3. How much fraction of data will lie between these two limits? (5 marks)
Suppose that the workers of factory B believe that the average income of the workers of factory A exceeds their average income. A random sample of workers is drawn from each of the two factories, and the two samples yield the following information: (5 marks)
Factory Sample size(n) Mean Variance
A 160 12.80 64
B 220 11.25 47
Test the above hypothesis by using Z0.05 = 1.645
Nine individual are chosen at random from a normal population and their weights in Kg are found to be 63, 64, 66, 67, 67, 68, 69, 69, 70 with mean weight 67 and standard deviation 2.345. Test the hypotheses Kg. Using 5% level of significance. (5 marks)
The incident of occupational disease is such that the workers have 20 percent chance of suffering from it. What is the probability that out of six workers 4 or more will come in contact of the disease? (5 marks)
dua ma yaad rakhna
Why t-distribution is a whole family of distributions? (2 marks)
While applying the chi-square goodness of fit test, what is the assumption about relationship of the frequencies of different categories in the sample? (2 marks)
Suppose we want to determine the proportions of smokers and non smoker in a city? In this situation what type of distribution we can use? (2 marks)
In which condition, Poisson distribution is used to approximate the hypergeometric distribution?
(3 marks)
Write down critical region for the following hypothesis at 5% level of significance. (3 marks)
Elaborate the Least Significant Difference (LSD) test. (3 marks)
For a certain data: (3 marks)
Mean = 3.8
Median = 2.3
and Standard Deviation = 1.3
Find Pearson’s coefficient of skewness.
If mean of a distribution is 25 and standard deviation is 5. Find out the limits by applying Chebychev’s Inequality for k= 2 and k=3. How much fraction of data will lie between these two limits? (5 marks)
Suppose that the workers of factory B believe that the average income of the workers of factory A exceeds their average income. A random sample of workers is drawn from each of the two factories, and the two samples yield the following information: (5 marks)
Factory Sample size(n) Mean Variance
A 160 12.80 64
B 220 11.25 47
Test the above hypothesis by using Z0.05 = 1.645
Nine individual are chosen at random from a normal population and their weights in Kg are found to be 63, 64, 66, 67, 67, 68, 69, 69, 70 with mean weight 67 and standard deviation 2.345. Test the hypotheses Kg. Using 5% level of significance. (5 marks)
The incident of occupational disease is such that the workers have 20 percent chance of suffering from it. What is the probability that out of six workers 4 or more will come in contact of the disease? (5 marks)
dua ma yaad rakhna
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