Question

Slaruaru evidol - - 6. (5 pts) Consider a box containing the following numbers. 2, 4, 7, 13, 14 The SD for the box is 4.77. Suppose 25 draws are made at random with replacement from the box. The expected value for this sum is == The standard error for this sum is = HINT: See the discussion on pages 291-292. 7. (5 pts) A die is rolled 48 times. The average of the list 1,2,3,4,5,6 is 3.5 and SD is 1.71. The total number of spots should be around give or take or so. The number of 5's should be around_ give or take - or so. (Hint: see Example 4 on page 300 of the textbook.) 8. (7 pts) A coin is tossed 64 times. The expected value of the number of heads is - The standard error for the number of heads is - Find the probability of getting between 26 and 38 heads. Write your answer as a decimal ____ (Hint: You'll need to use the z-table. See example 5 on page 301.)

Answer 1

SOLUTION:

From given data,

6) Consider a box containing the following numbers. 2,4,7,13,14 The SD for the box is 4.77. Suppose 25 draws are made at random with replacement from the box.

Mean = (2+4+7+13+14) / 5 = 40/5 = 8

The expected value for this sum is

The expected value for this sum is = 25*mean of 5 numbers

= 25*8

= 200

The standard error this sum is

variance of this sum = 25*SD²

= 25*(4.77)²

= 25*22.7529

= 568.8225

The standard error for this sum is = sqrt(568.8225) = 23.85

For the remaining problems please post again friend as per HOMEWORKLIB RULES first question should be the answer when multiple questions are posted. Please thumbs-up / vote up this answer if it was helpful. In case of any problem, please comment below. I will surely help. Down-votes are permanent and not notified to us, so we can't help in that case.