5. The circulation manager of a newspaper wishes to estimate the average number of newspapers and magazines purchased per household in a given community. The 4,000 households are grouped into 400 clusters of 10 households each. A SRS of 6 clusters is selected. The total number of newspapers and magazines read in each cluster of of 10 households is given below. a) Estimate the average number of newspapers and magazines per household for the community. Use both unbiased and ratio estimators. b) Construct a 95% confidence interval for the true population average number of newspapers and magazines per household in each case. Cluster 1 2 3 4 st Total Number of newspapers 20 28 16 22 22 and magazines read 5 6 25 30