A company has a machine that produces cans of coconut milk, and it has been noti

Question

A company has a machine that produces cans of coconut milk, and it has been noticed that the amount of coconut milk varies from can to can. The amounts are normally distributed with standard deviation 8 milliliters. The label used on the cans states that each can contains 414 milliliters. The management of the company decides to set the mean mu of the amount of coconut milk per can so that 95% of the cans contain more than 414 milliliters. Of the following, which is the closest approximation to mu in milliliters? 400 415 420 425 430 For a roll of a fair die, each of the outcomes 1.2, 3.4.5. or 6 is equally likely. A red die and a green die are rolled simultaneously, and the difference of the outcomes (red - green) is computed. This is repealed for a total of 500 rolls of the pair of dice. Which of the following graphs best represents the most reasonable distribution of the differences?

Explanation / Answer

for 95% confidence for lowest 5 percentile, z =-1.6449

and as z=(X-mean)/std deviation

mean =414+1.6449*8 =427.15

hence option E is correct.

A) In second question as output is symmetric and distributed b/w -5 and 5.

option C is correct.

differnce frequency -5 1 -4 2 -3 3 -2 4 -1 5 0 6 1 5 2 4 3 3 4 2 5 1

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