Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider these an SRS from the population of all sycamore trees. What is the probability that 24% or more of the trees in the sample are killed? Step #1: Check conditions. Condition : is the sampling method used random? Condition : Formula = Show work = ; Condition : Formulas = ; and Show work = ;and

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth
of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The
power company tests the chemical on 250 sycamores. Consider these an SRS from the population of all sycamore trees. What is the probability that 24% or
more of the trees in the sample are killed?
Step #1: Check conditions.
Condition : is the sampling method used random?
Condition : Formula =
Show work = ;
Condition : Formulas =
and
Show work = }
;and
Transcribed Image Text:Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider these an SRS from the population of all sycamore trees. What is the probability that 24% or more of the trees in the sample are killed? Step #1: Check conditions. Condition : is the sampling method used random? Condition : Formula = Show work = ; Condition : Formulas = and Show work = } ;and
:: Random
: Independent
:: Normal
: yes
: no - proceed with caution
:: 10n > N
:: 10n < N
: пр > 10
: n (1 – p) > 10
:: 10 (250) > all sycamore trees
: 10 (250) < all sycamore trees
:: 250 (0.20) > 10
:: 250 (0.24) > 10
: 250 (1 – 0.24) > 10
:: 250 (1 – 0.20) > 10
Transcribed Image Text::: Random : Independent :: Normal : yes : no - proceed with caution :: 10n > N :: 10n < N : пр > 10 : n (1 – p) > 10 :: 10 (250) > all sycamore trees : 10 (250) < all sycamore trees :: 250 (0.20) > 10 :: 250 (0.24) > 10 : 250 (1 – 0.24) > 10 :: 250 (1 – 0.20) > 10
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