The burning rates of two different solid-fuel propellants usedin aircrew escape systems are being studied. it is known that bothpropellants have approximately the same standard deviation ofburning rate; that is α1 = α 2 = 3 centimeters persecond. two random samples of n1 = 20 and n2 = 20 specimensare tested; the sample mean burning rates are 1 = 18 centimeters per second and 2 = 24 centimeters per second.
(a) test the hypothesis that both propellants have the samemean burning rate. use α= 0.05. what is thep-value?
(b) contruct a 95% confidence interval on the difference inmean s μ1 - μ2. what is the practical meaning of thisinterval?
(c) what is the β-error of the test in part (a) if thetrue difference in mean burning rate is 2.5 centimeters persecond?
(d) assuming equal sample sizes, what sample size is needed toobtain power of 0.9 at a true deifference in means of14cm/s?

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200

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