Question
In: Statistics and Probability
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.
Solutions
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 agoRelated Solutions
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Regular selling price per unit
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Variable costs per unit:
Manufacturing
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Marketing and administrative
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Total fixed costs:
Manufacturing
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Size
48262
33871
44321
43368
40000
40529
45050
48678
57746
43662
45611
44027
52000
50516
49075
50062
38957
42,059
50381
42531
42000
56000
42400
55775
43500
38127
42,445
40800
46861
56000
Select one:
a.
50.20%
b.
97.05%
c.
100%
d.
95.00%
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