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find P(x-bar<53) usiing the numbers below. find P(x-bar<53) usiing the numbers b

ID: 3385822 • Letter: F

Question

find P(x-bar<53) usiing the numbers below.

find P(x-bar<53) usiing the numbers below.

61 47 42 50 69 44 61 54 54 51 54 56 50 57 64 63 42 49 57 39 54 55 44 52 63 43 58 33 49 60 62 40 50 60 45 64 60 54 16 55 56 50 38 51 52 49 44 54 49 56 58 58 53 49 49 49 39 60 65 57 38 51 50 37 33 49 44 43 61 61 50 32 49 48 56 44 62 51 60 53 51 67 65 47 41 52 40 48 72 37 44 58 57 44 52 38 58 46 48 59 71 38 41 50 49 51 57 53 58 66 69 59 47 38 55 55 51 55 46 53 66 44 39 51 56 49 47 49 51 50 29 42 44 46 40 49 59 49 48 48 45 65 57 33 42 47 62 71 56 48 44 48 55 36 44 43 55 61 57 59 52 55 36 52 31 43 52 52 55 64 63 49 48 52 38 54 48 61 49 54 39 44 57 51 56 55 43 56 59 49 52 48 47 49 58 68 58 43 53 44 mean 50.98 St. Dev 8.807238

Explanation / Answer

Given thatX –bar = 53µ= 50.98=8.807238

P((X-bar) -µ)/ ) = P((53) -50.98)/ 8.807238 )

= P(0.2294 )

= 0.590721

The value is from standard normal tables