Logo
Home Study Material Contact Search
AI Chat FREE
  1. business
  2. accounting
  3. the following table gives stratification of all fa

The following table gives stratification of all farms in a country by farm size and...

80.2K

Verified Solution

Question

Accounting

The following table gives stratification of all farms in a country by farm size and the acreage of corn (maize) in the sampled farms. Obtain the estimate of average acres of corn per farm in the population and its variance. Also obtain the variances of the estimates of population mean under proportional allocation and optimum allocation Hence for the same sample size of 21 farms.

Obtain the 95% confidence interval for the mean and efficiency of the given allocation and the proportional allocation with respect to the optimum allocation (Hint: the coast not considered).

Stratum No.

Farm size (acres)

No. of farms (Ni)

Acreage of corn in sampled farms (10 acres)

Standard deviation (10 acres) from a past survey) Si

1

0-40

12

3.5, 2.7, 1.1, 1.9

5.2

2

41-80

24

2.4, 6.9, 3.7, 2.8, 3.4, 2.6

3.7

3

81-120

19

1.0, 1.3, 2.9, 1.6, 3.4

6.5

4

121-160

13

1.0, 0.0, 2.3, 0.5

3.4

5

161-200

9

5.8, 4.9

2.7

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students