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3 years ago

Students measured their heights. The dot plots display the data.

Mathematics

1 answer:

Vladimir79 [104]3 years ago

6 0

Answer:

1)Yes, because the difference in means ÷ by the larger MAD is greater than 2 MADs.

Step-step explanation:

Difference in means:

70.5 - 64.1

= 6.4

Larger MAD:

1.7

6.4/1.7 = 3.764705882 > 1.7

You might be interested in

How are <8 and <4 related

Tasya [4]

Answer:

8 divided by 2 is 4

Step-by-step explanation:

U divide 8 from 2

3 0

3 years ago

An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr

Veseljchak [2.6K]

Answer:

The calculated value |t| = 2.375 > 2.1009 at 0.05 level of significance

Null hypothesis is rejected 

Alternative hypothesis is accepted

The extra carbonation of cola results in a higher average compression strength

Step-by-step explanation:

Step(i):-

Given data

First sample size (n₁) = 10

mean of the first sample(x₁⁻) = 537

standard deviation of the first sample (S₁) = 22

second sample size (n₂) = 10

mean of the second sample (x₂⁻) = 559

standard deviation of the second sample (S₂) = 17

Step(ii):-

Null hypothesis : H₀:- The extra carbonation of cola results in a lower average compression strength

Alternative Hypothesis :H₁

The extra carbonation of cola results in a higher average compression strength

Step(iii):-

By using student's t -test for difference of means

Test statistic

  $t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}$ 

 where 

  $S^{2} = \frac{n_{1}S^{2} _{1} + n_{2} S_{2} ^{2} }{n_{1}+n_{2} -2 }$ 

  $S^{2} = \frac{10(22)^{2} + 10 (17) ^{2} }{10+10 -2 } = \frac{ 7730}{18} = 429.4$ 

  $t = \frac{537-559 }{\sqrt{429.4 (\frac{1}{10 }+\frac{1}{10 } } )}$ 

 t = -2.375

|t| = |-2.375| = 2.375

Degrees of freedom

γ = n₁+n₂ -2 = 10+10-2 =18

 $t_{\frac{\alpha }{2} ,n-1}=t_{(\frac{0.05}{2} ,18)} = t_{(0.025,18)}}=2.1009$ 

The calculated value |t| = 2.375 > 2.1009 at 0.05 level of significance

Null hypothesis is rejected 

Alternative hypothesis is accepted

Final answer:-

The extra carbonation of cola results in a higher average compression strength

 

5 0

2 years ago

Reggie and jay go for a walk morning.reggie walks 2 1/4 miles. Jay walks 1 3/8 miles less than Reggie. What is the total distanc

jek_recluse [69]

Jay walks 2 1/4 miles which if you double it so the denominators are e same for both 2 1/4 and 1 1/8 then your answer will be 18/8 (Jay) and 9/8 (Reggie). Meaning that Reggie walks have the distance Jay walks.

7 0

3 years ago

The length of side X is 36.25 cm to the nearest hundredth of a centimeter what is the length of y

goldenfox [79]

Answer:

<h3>The length of y is 62.82 cm.</h3>

Step-by-step explanation:

We are given a right triangle with an angle 30°.

Opposite side of angle 30° is x and adjacent side is y.

Also, given length of side x=36.25 cm.

In order to find the value of y, we need to apply tangent trigonometrical ratio.

We know,

$tan \theta =\frac{Opposite \ Side}{Adjacent \ Side}$

Therefore,

$tan \theta =\frac{x}{y}$

Plugging values of $\theta =30^o$ and x=36.25, we get

$tan 30^o=\frac{36.25}{y}$

Plugging value of $tan 30^o=0.577$ in above equation, we get

$0.577=\frac{36.25}{y}$

On multiplying both sides by y, we get

$0.577\times y=\frac{36.25}{y}\times y$

0.577y=36.25

Dividing both sides by 0.577, we get

$\frac{0.577y}{0.577} =\frac{36.25}{0.577}$

y=62.82

<h3>Therefore, the length of y is 62.82 cm.</h3>

3 0

2 years ago

A cup of coffee at 85 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 5 de

bezimeni [28]

Answer: k = - 6.6667

Step-by-step explanation:

this is quite very simple to begin. I would encourage you take other practice questions similar to help with understanding it.

let us begin.

Given that ;

dT/dt = k ( Tm - T) where Tm is the temp of the medium

dT/dt = 5 degrees Celsius per minute when T = 70

so we have that, 5 = k ( 25 - 70)

remember to convert 5 degree celsius per minute to seconds

we have that;

5*60(sec) = k ( 25 - 70)

k = 5*60 / ( 25 - 70)

k = - 6.6667

note K is negative because we consider it for cooling process (temp decreasing).

cheers i hope this helps!!!

3 0

3 years ago