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Juli2301 [7.4K]
3 years ago
11

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 9 large boxes and 7 small boxes has a t

otal weight of 265 kilograms. A delivery of 3 large boxes and small boxes has a total weight of 125 kilograms. How does each type of box weigh?
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0
390 kilograms would be the total
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1. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 v
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Answer:

See step by step explanation

Step-by-step explanation:

Sample size   n  =  800

p₁  =  71 %      p₁ = 0,71     and  q₁ = 0,29

Claim from political strategy wants evaluation to see if that sample implies that residents who favor the construction are more than 68 %

Then  

p₀   =  68%      p₀ = 0,68

Sample size  800 big enough to use the approximation of binomial distribution to normal distribution

1) Hypothesis Test

Null Hypothesis                                  H₀          p₁  =  p₀

Alternative Hypothesis                      Hₐ          p₁  >  p₀

2)Test Statistics  z (s)

z(s)   =  (  p₁  -  p₀ ) / √p₁*q₁/n

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z(s)   =  0,03 /  0,016

z(s)  =  1,875

3) In the problem statement the expression " more than " has to be formulated in the alternative hypothesis and indicates that the test is one tail test to the right

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Now significance level is α  = 0,02

Therefore  p-value > 0.02

Then that value corresponds to the acceptance region for H₀.

We don´t have enough evidence to support the strategist´s claim

5) The level of significance is α = 0,02

6) If now we change  α to be equal to 0,01   α = 0,01

p-value > 0,01 and still we have to accept H₀

7) We accept H₀  we are not able to support strategist´s claim    

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