(i) A random sample from 200 villages was taken from Kanpur district and the average population per village was found to be 420 with a standard deviation of 50. Another random sample of 200 villages...

Extracted text: (i) A random sample from 200 villages was taken from Kanpur district and the average population per village was found to be 420 with a standard deviation of 50. Another random sample of 200 villages from the same district gave an average population of 480 per village with a standard deviation of 60. Is the difference between the averages of the two samples statistically significant? Take 1% level of significance. (1i) The means of the random samples of sizes 9 and 7 are 196.42 and 198.42 respectively. The sums of he squares of the deviations from the mean are 26.94 and 18.73 respectively. Can the samples be constituted to have been drawn from the same normal population? Use 5% level of significance.