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aliina [53]
3 years ago
13

A dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly as

signs nold = 8 to get the old diet, and nnew = 5 to get the new diet including the additive. The cows are housed in 13 separated pens and each gets separate feed, with or without additive as appropriate. After two weeks, she picks a day and milks each cow using standard procedures and records the milk produced in pounds. The data are below:Old Diet: 43, 51, 44, 47, 38, 46, 40, 35New Diet: 47, 75, 85, 100, 58Let µnew and µold be the population mean milk productions for the new and old diets, respectively. She wishes to test: H0 : µnew vs µold = 0 vs. HA : µnew vs µold 6= 0, using α = 0.05.(a) Are the two populations paired or independent?
Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to test if a new feed + additive generates a better production of milk in cows. For this, the owner selects 13 cows and randomly separates them into two groups.

Group 1 has 8 cows that receive the new feed + additive.

Group 2 has 5 cows that were fed with the old feed.

After two weeks of feeding the animals with the different feeds, the production of milk of each group was recorded so that they can be compared.

Since you have two separate groups to wich at random two different treatments were applied and later the variable was measured, these two samples/groups are independent and the proper test to compare the population means of the milk production in both groups is a pooled t.

I hope this helps!

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During a tunnel construction project, engineers used explosives to excavate partway into a mountain. Because of time constraints
AnnyKZ [126]

The given data can be tabulated as:

number of days,x                            length of tunnel (ft), y

0                                                                              225

5                                                                              350

20                                                                           725

30                                                                           975

55                                                                           1,600

 

To check if the growth is linear, the slope at points (0, 225) and (5, 350), and (0, 225) and (20, 725) should be equal. The formula for slope is:

m = (y2 – y1) / (x2 – x1)

 

Finding for slope (0, 225) and (5, 350):

m = (350 – 225) / (5 – 0) = 25

 

Finding for slope (0, 225) and (20, 725):

m = (725 – 225) / (20 – 0) = 25

 

Therefore the equation is linear in the form of:

y = mx + b

where b is the value of y at x = 0, so b = 225

 

The complete equation is:

y = 25x + 225

 

At x = 86 days

y = 25(86) + 225

y = 2,375 ft

 

Therefore the length of the completed tunnel is 2,375 feet.

5 0
4 years ago
I need the answer for this exact question
denis23 [38]

Answer:

y=\frac{7}{2}x-20

Step-by-step explanation:

Let the equation of the line be y-y_1=m(x-x_1) where, 'm' is its slope and (x_1,y_1) is a point on it.

Given:

The equation of a known line is:

y=-\frac{2}{7}x+9

A point on the unknown line is:

(x_1,y_1)=(4,-6)

Both the lines are perpendicular to each other.

Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is m_1=-\frac{2}{7}

When two lines are perpendicular, the product of their slopes is equal to -1.

Therefore,

m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20

The equation of a line perpendicular to the given line and passing through (4, -6) is y=\frac{7}{2}x-20.

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5 with 1/3 pounds of turkey will be needed
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