The 24 students in Ms.Lee class each collected an average of 18 cans for recycling the 21 students in mr galvez class each colle
2 answers:
Answer: 93
Step-by-step explanation:
Given : The 24 students in Ms.Lee class each collected an average of 18 cans for recycling .
Then , the total cans collected in Ms.Lee class :
Average x Number of students
=
i.e. Total cans collected in Ms.Lee class =432
Also, the 21 students in Mr Galvez class each collected an average of 25 cans for recycling.
Then , the total cans collected in Mr Galvez class :
Average x Number of students
=
i.e. Total cans collected in Mr Galvez class =525
Difference = Cans collected in Mr Galvez class - Cans collected in Ms.Lee class
=525-432=93
Hence, Mr. Galvez class collected 93 more cans than Ms.Lee class.
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The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is 0.8132.
Let x be the total amount spent by students.
x follows normal distribution with mean μ = 650,
standard deviation δ = 120
We take a simple random sample of size n = 10
We are asked to find average spending of 10 students ( ) is between 600 and 700
We have to find P( 600 <= <= 700)
According to the sampling distribution of the sample mean , it follows an approximately normal distribution with mean μ{
} = μ and standard deviation δ{
} = {δ}/{√n}
Therefore here mean of ,( μ{
} ) = 650 and
standard deviation of , δ{
} = {120}/{√10} = 37.9473
The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is,
Let Z= x - μ / δ
Z₁ = 600 - 650 / 37.9473 = -1.32 similarly
Z₂ = 700 - 650 / 37.9473 = 1.32
From standard normal distribution table, P( -1.32 < < 1.32) = 0.8132
The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is 0.8132
To learn more about Normal distribution click here:
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