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Levart [38]
3 years ago
8

Giving the brainliest answer to who can ever help me out!!! need help asap!

Mathematics
1 answer:
V125BC [204]3 years ago
7 0

Answer: I think the answer is B

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
4 years ago
WORTH 20 POINTS PLS HELP!
scZoUnD [109]

Answer:80ft

Step-by-step explanation:

4 0
3 years ago
Which of the following has no solution?
Evgen [1.6K]
A)

\{x\,|\,x \leq 1\}\, \cap \,\{x\,|\,x \geq 1\}=(-\infty;1]\,\cap\,[1,\infty)=\{1\}

b)

\{x\,|\,x \ \textless \  1\}\, \cap \,\{x\,|\,x \ \textgreater \  1\}=(-\infty;1)\,\cap\,(1,\infty)=\boxed{\emptyset}

c)

\{x\,|\,x \leq 1\}\, \cup \,\{x\,|\,x \geq 1\}=(-\infty;1]\,\cup\,[1,\infty)=\mathbb{R}

Answer b)
7 0
3 years ago
Solve for h. <br> P=mgh <br> Answer choices:<br> H=P-mg<br> H=pg/m<br> H=p/mg<br> H=P+mg
rosijanka [135]
P=mgh
p/mg=h

the answer is:
H=p/mg
7 0
4 years ago
Read 2 more answers
Find all the rational zeroes of the function.<br> x3 - 12x2 + 41x - 42
user100 [1]
Rational Roots Theorem states if a polynomial P (x) has rational roots then p/q is a root where p is a multiple of a0 and q of an. Moreover this polynomial has 3 roots, at most 3 which are positive and none of which are negative. Finding a root x0, you can use (x-x0) and long division to factor P (x) and find the other roots. Possible rational roots +/- {1,2,3,6,7,14,21}.
Namely 2,3,7 are the roots so it factors
(x-2)(x-3)(x-7)
5 0
3 years ago
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