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ivann1987 [24]
3 years ago
14

A report states that the mean yearly salary offer for students graduating with accounting degrees in 2012 was $49,007. Suppose t

hat a random sample of 60 accounting graduates at a large university who received job offers
resulted in a mean offer of $49,800 and a standard deviation of $3,100. What is the observed significance level?


The correct answer is 0.261, but I'm not sure how to get there.
Mathematics
1 answer:
son4ous [18]3 years ago
4 0

Answer:

The significance level of difference in fhe two means is indeed 0.26.

Step-by-step explanation:

To obtain the significance level, just standardize the mean in 2012 with the new mean and standard deviation.

The standardized score (z) is the value (x) minus the mean (xbar) then divided by the standard deviation (σ)

z = (x - xbar)/σ = (49007 - 49800)/3100 = - 0.26

Therefore, the significance level of difference is indeed 0.26.

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Which of the following situations would best be modeled by a discrete relationship? a. A teacher counts the number of students i
Nata [24]

Answer:

Option d is correct.

Step-by-step explanation:

Discrete values are those which take an integer value not in fraction.

Option A is discrete because there will be certain number of students in class say 20 or 30

We can not have 20.5 students

Therefore, option a is correct.

Option B is not discrete because many people can have age say 65 and a half years and weight can be in decimals say 50.5 kgs.

Option C is correct because he is saving a proper integer number of money.

Therefore, option d is correct that is both A and C are correct.

4 0
3 years ago
A 75-gallon tank is filled with brine (water nearly saturated with salt; used as a preservative) holding 11 pounds of salt in so
Debora [2.8K]

Let A(t) = amount of salt (in pounds) in the tank at time t (in minutes). Then A(0) = 11.

Salt flows in at a rate

\left(0.6\dfrac{\rm lb}{\rm gal}\right) \left(3\dfrac{\rm gal}{\rm min}\right) = \dfrac95 \dfrac{\rm lb}{\rm min}

and flows out at a rate

\left(\dfrac{A(t)\,\rm lb}{75\,\rm gal + \left(3\frac{\rm gal}{\rm min} - 3.25\frac{\rm gal}{\rm min}\right)t}\right) \left(3.25\dfrac{\rm gal}{\rm min}\right) = \dfrac{13A(t)}{300-t} \dfrac{\rm lb}{\rm min}

where 4 quarts = 1 gallon so 13 quarts = 3.25 gallon.

Then the net rate of salt flow is given by the differential equation

\dfrac{dA}{dt} = \dfrac95 - \dfrac{13A}{300-t}

which I'll solve with the integrating factor method.

\dfrac{dA}{dt} + \dfrac{13}{300-t} A = \dfrac95

-\dfrac1{(300-t)^{13}} \dfrac{dA}{dt} - \dfrac{13}{(300-t)^{14}} A = -\dfrac9{5(300-t)^{13}}

\dfrac d{dt} \left(-\dfrac1{(300-t)^{13}} A\right) = -\dfrac9{5(300-t)^{13}}

Integrate both sides. By the fundamental theorem of calculus,

\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac1{(300-t)^{13}} A\bigg|_{t=0} - \frac95 \int_0^t \frac{du}{(300-u)^{13}}

\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac{11}{300^{13}} - \frac95 \times \dfrac1{12} \left(\frac1{(300-t)^{12}} - \frac1{300^{12}}\right)

\displaystyle -\dfrac1{(300-t)^{13}} A = \dfrac{34}{300^{13}} - \frac3{20}\frac1{(300-t)^{12}}

\displaystyle A = \frac3{20} (300-t) - \dfrac{34}{300^{13}}(300-t)^{13}

\displaystyle A = 45 \left(1 - \frac t{300}\right) - 34 \left(1 - \frac t{300}\right)^{13}

After 1 hour = 60 minutes, the tank will contain

A(60) = 45 \left(1 - \dfrac {60}{300}\right) - 34 \left(1 - \dfrac {60}{300}\right)^{13} = 45\left(\dfrac45\right) - 34 \left(\dfrac45\right)^{13} \approx 34.131

pounds of salt.

7 0
1 year ago
Solve 3x ≤ -6. Graph the solution.
Alinara [238K]

as \: given \:  \: 3x \leqslant  - 6 \: \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  so \:  \frac{3x}{3}  \leqslant  \frac{ - 6}{3}  \:  \ \\ results \: in \: x \leqslant  - 2

3 0
2 years ago
Read 2 more answers
12 2/5 x 3 1/6 pls help me
Maurinko [17]
1. Turn improper
12 \frac{2}{5}  =  \frac{62}{5}
3 \frac{1}{6}  =  \frac{19}{6}
2. set up the problem
\frac{62}{5}  \times  \frac{19}{6}
now multiple across and simplefy
3 0
3 years ago
Find the total number of outcomes when choosing a flavor of ice cream. ( Vanilla, strawberry, chocolate, butterscotch) a topping
Doss [256]

Answer:

16

Step-by-step explanation:

4 flavors

2 toppings  

2 containers

4x 2= 8

8x2=16

7 0
3 years ago
Read 2 more answers
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