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USPshnik [31]
3 years ago
15

State the type of hypothesis test to be used in the following situation: Researchers hoped to determine whether time spent watch

ing television is associated with cardiovascular fitness. Subjects were asked how many hours per day they watch television and were classified as physically fit if they scored in the excellent or very good category on a step test. The data obtained is as follows: Physically Fit Not Physically Fit 0 hours 35 147 1-2 hours 101 629 3-4 hours 28 222 5 or more hours 4 34 Determine if the association the researchers were interested in exists or not.
Mathematics
1 answer:
Vikki [24]3 years ago
7 0

Answer:

t-test for difference in slopes

no association exists

Step-by-step explanation:

t-test can be used to determine signifiance in difference in slopes of of fit vs time and not fit vs time graph

The data shows that as number of hours spent watchnig television increases, there is no increasing or decreasing trend in number of people fit or not fit. The number of people fit or not fit seems to be distributed around 629 for 1-2 hours of watching television. There trend is not consistent in both cases with increasing number of hours

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A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol
iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let x_1 be the number of widgets sold and x_2 be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

x_1+x_2=350...(1)

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

35x_1+22x_2=9,000...(2)

From equation (1), we will get:

x_2=350-x_1

Substitute this value in equation (2):

35x_1+22(350-x_1)=9,000

35x_1+7,700-22x_1=9,000

13x_1+7,700=9,000

13x_1+7,700-7,700=9,000-7,700

13x_1=1,300

\frac{13x_1}{13}=\frac{1,300}{13}

x_1=100

Therefore, the company sold 100 widgets.

Substitute x_1=100 in equation (1):

100+x_2=350

100-100+x_2=350-100

x_2=250

Therefore, the company sold 250 gizmos.

3 0
2 years ago
Read 2 more answers
Solve the following system: <br> 3x + 2y = 7 <br> -4.5x - 3y = -10.5
valentina_108 [34]

Answer:

<u>infinitely many solutions</u>

Step-by-step explanation:

The system of equations :

  1. 3x + 2y = 7
  2. -4.5x - 3y = -10.5

Multiplying Equation 1 times 3 and Equation 2 times 2 :

  • 9x + 6y = 21
  • -9x - 6y = -21

Putting the equations in standard form after simplifying :

  1. 6y = -9x + 21 ⇒ <u>y = -1.5x + 3.5</u>
  2. -6y = 9x - 21 ⇒ <u>y = -1.5x + 3.5</u>

<u />

As both equations are the same, the system will have <u>infinitely many solutions</u>.

4 0
2 years ago
Help me pleasee......
bagirrra123 [75]
56.7 should be the right answer
7 0
2 years ago
Read 2 more answers
OPEN ENDED QUESTION
posledela

Answer: I hope this helps :)

Substitution:  45+15(6-1)

Simplify:  120

Step-by-step explanation:

Calculate within parenthases (6-1) =5    =45+15(5)

Multiply left to right 15(5)=75      =45+75

Add leftg to right 45+75=120

Answer = 120

4 0
3 years ago
A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an are
LekaFEV [45]

Answer:

The total volume of the pieces of fruit in the can is 640\ cm^{3}

Step-by-step explanation:

step 1

Find the volume of the cylindrical can

The volume of the can  is equal to

V=BH

where

B is the area of the base of the can

H is the height of the can

we have

B=75\ cm^{2}

H=10\ cm

substitute

V=(75)(10)=750\ cm^{3}

step 2

Find the volume of the pieces of fruit in the can

The volume of the pieces of fruit in the can is equal to subtract  the volume of syrup from the volume of the can

750\ cm^{3}-110\ cm^{3}=640\ cm^{3}

8 0
2 years ago
Read 2 more answers
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