VU STA 632 Assignment 1 Solution Sampling Techniques (STA632)

 

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24 May ,  2021, Time 23:59

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Assignment # 1 (Topics 1-27)

Question 1:                                                                                                                              Marks:  5

a)     (a)Derive the formula of sample size for mean estimation.

Solution

   (b)      In how many allocation methods variance of sample mean can be derived in stratified sampling?

Solution:

 

The variance of sample mean can be derived by using following allocation methods:

i. Arbitrary Allocation,

ii. Proportional Allocation, and

iii. Optimum Allocation

Question 2:                                                                                                                               Marks:  5

a)      The Coca Cola Company produces cold drink diet cans with standard deviation of the amount poured into cans by automatic filling machine is 2.4 ml (milliliter). A random sample is taken of the amount of filling in cans were 181, 178, 176, 182, 180, 179, 178, 280. Suppose that population of filling amount follows normal distribution. Determine 95% confidence interval for the mean amount in all cans filled by the machine.

               

                          

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