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In: Statistics and Probability

16#2 The following table provides the starting players of a basketball team and their heights Player...

16#2

The following table provides the starting players of a basketball team and their heights

Player A B C D E
Height (in.) 75 77 78 81 84

a. The population mean height of the five players is: 79

b. Find the sample means for samples of size 2.
A, B: ?¯ =
A, C: ?¯ =
A, D: ?¯ =
A, E: ?¯=
B, C: ?¯ =
B, D: ?¯ =
B, E: ?¯ =
C, D: ?¯=
C, E: ?¯=
D, E: ?¯=

For a random sample of size 2 what is the chance that the sample mean will equal the population mean? That is, P(?¯=?) =  .

For a random sample of size 2, the probability that ?¯ will be within 1 inch of ? is  .

e. Find the sample means for samples of size 4.
A, B, C, D: ?¯ =  
A, B, C, E: ?¯=
A, B, D, E: ?¯=
A, C, D, E: ?¯=
B, C, D, E: ?¯=

For a random sample of size 4 what is the chance that the sample mean will equal the population mean? That is, P(?¯=?) =

g. For a random sample of size 4, the probability that ?¯will be within 1 inch of ? is:

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