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3 years ago

6

in an election they are four canadates j k l and m Teri is drawing a pie chart to show the results the sector for j and k have b

een drawn

1 answer:

gizmo_the_mogwai [7]3 years ago

8 0

Answer:

2+2=4

Step-by-step explanation:

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In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The significance level is 0.05.</em>

<em>The data is:</em>

<em>Brand X: 91, 100, 88, 89</em>

<em>Brand Y: 99, 96, 94, 99</em>

<em>Brand Z: 83, 88, 89, 76</em>

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago

I need step by step answers I don’t understand this

shtirl [24]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept (0, b)</em>

<em />

$1.\ \text{Slope is}\ -2\to m=-2,\ \text{y-intercept is}\ -6\to b=-6\\\\\boxed{y=-2x-6}\\\\2.\ \text{Slope is}\ \dfrac{3}{7}\to m=\dfrac{3}{7},\ \text{y-intercept is}\ -1\to b=-1\\\\\boxed{y=\dfrac{3}{7}x-1}\\\\3.\ m=-8,\ b=11\\\\\boxed{y=-8x+11}\\\\4.\ m=0,\ b=-5\\\\\boxed{y=0x-5\to y=-5}\\\\5.\ m=-11,\ \text{y-intercept is}\ (0,\ 13)\to b=13\\\\\boxed{y=-11x+13}$

5 0

3 years ago

Please help? <3 thank you

Effectus [21]

Answer:

asking 10 students wearing football jerseys each day for a week

Step-by-step explanation:

if students come to school wearing a football jersey then more than likely their favorite sport is football which means that your results will not be as accurate as the others.

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3 years ago

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3n + 7 in word form please help me

scoundrel [369]

Answer:

The product of 3 and a variable n plus 7

Step-by-step explanation:

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3 years ago

Help please 6th grade math

Burka [1]

Answer:

Step-by-step explanation:

-1

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3 years ago

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