A stadium designer has placed 900 seats in one section of the stadium. Assume that the...

A stadium designer has placed 900 seats in one section of the stadium. Assume that the weights of people who will occupy those seats are i.i.d. with a mean of 160 pounds and an SD of 25 pounds. Fill in the blanks with numbers and show your calculation: With chance about 99%, the total weight of people in the 900 seats will be in the range ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯± ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ pounds.

Expert Solution

Level of Significance ,    α =    0.01
degree of freedom=   DF=n-1=   899
't value='   tα/2=   2.5813   [Excel formula =t.inv(α/2,df) ]

Standard Error , SE = s/√n =   25.0000   / √   900   =   0.833333
margin of error , E=t*SE =   2.5813   *   0.83333   =   2.15

confidence interval is
Interval Lower Limit = x̅ - E =    160.00   -   2.151091   =   157.848909
Interval Upper Limit = x̅ + E =    160.00   -   2.151091   =   162.151091
99%   confidence interval is (   157.85   < µ <   162.15   )

With chance about 99%, the total weight of people in the 900 seats will be in the range⎯⎯⎯⎯160⎯⎯⎯⎯± ⎯⎯⎯⎯2.15⎯⎯⎯⎯ pounds.

....................

Please revert back in case of any doubt.

Please upvote. Thanks in advance.

orchestra answered 2 years ago

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A stadium designer has placed 900 seats in one section of the stadium. Assume that the...

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