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Marat540
22 days ago
5

Guidelines for the jolly blue giant health insurance company say that the average hospitalization for a triple hernia operation

should not exceed 30 hours. a diligent auditor studied records of 16 randomly chosen triple hernia operations at hackmore hospital, and found a mean hospital stay of 40 hours with a standard deviation of 20 hours. "aha!" she cried, "the average stay exceeds the guideline." the p-value for a right-tailed test of her hypothesis is:
Mathematics
1 answer:
babunello [8.4K]22 days ago
6 0

To tackle this issue, we need to utilize the t statistic. This requires calculating the t score first and then consulting standard distribution tables to find the corresponding p value based on the obtained t score.

 

The formula for calculating the t score is:

t = (x – μ) / (σ / sqrt(n))

 

Where,

x = sample mean = 40

n = number of sample subjects = 16

s = standard deviation = 20

μ = Population Mean = 30

 

Plugging in the known values:

t = (40 – 30) / (20 / sqrt 16)

t = 10 / 5

t = 2

 

Utilizing the standard distribution tables and calculating the degrees of freedom, which is n – 1 = 15, we then find:

p = 0.032

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60 more than nine times a number is the same as two less than 10 times the number what is the number
PIT_PIT [9117]

Let's tackle your equation step-by-step.

9x+60=10x−2

Step 1: Subtract 10x from each side.

9x+60−10x=10x−2−10x

−x+60=−2

Step 2: Subtract 60 from each side.

−x+60−60=−2−60

−x=−62

Step 3: Divide both sides by -1.

−x /−1 = −62 /−1

x=62

I hope this was helpful! Please consider giving me Brainliest!!

4 0
23 days ago
to eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied? first equat
lawyer [9240]

Answer: To eliminate the y terms and solve for x with minimum steps, we should multiply the first equation by 9 and the second equation by -4.


Step-by-step explanation:

Given: Equation (1) 5x − 4y = 28

Equation (2) 3x - 9y = 30

To eliminate the y-terms and determine x in the fewest operations, it requires us to multiply equation (1) by 9 and equation (2) by -4 to have

9(5x − 4y) =9 (28) ⇒ 45x - 36y = 252

-4(3x - 9y) = -4(30) ⇒ -12x + 36y = -120

By adding both equations together, the y-term is eliminated, leading to 45x - 12x = 132

⇒ 33x = 132 ⇒ x = 4.

8 0
1 month ago
Read 2 more answers
Suppose F⃗ (x,y)=⟨ex,ey⟩F→(x,y)=⟨ex,ey⟩ and CC is the portion of the ellipse centered at the origin from the point (0,1)(0,1) to
zzz [9080]

The likely equation for the ellipse is given by

\dfrac{x^2}{49}+y^2=1

This can be parameterized as a segment of the curve using

C

with 0\le t\le\frac\pi2. Then we can proceed with

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7 0
25 days ago
If m∠1= (7x –19)°, and m∠2 = (x + 5)°, find m∠2.
babunello [8412]

Given :

∠m1 = ( 7x - 19 )°.

∠m2 = ( x + 5 )°.

To Find :

The value of x .

Solution :

As the relationship between angle ∠m1 and ∠m2 isn't specified,

let's presuppose that the sum of ∠m1 and ∠m2 equals 180°.

Thus,

(7x-19)+(x+5)=180^{\circ}\\\\8x-14=180\\\\8x=194\\\\x=24.25^{o}

Angle ∠m2 = (24.25 + 5 )° = 29.25°.

Consequently, ∠m2 is 29.25°.

Hence, this solution meets the requirements.

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1 month ago
On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negat
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They are parallel due to their identical slopes.
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