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2 years ago

Please quickly answer number 6 will give brainliest

Mathematics

2 answers:

Vikki [24]2 years ago

8 0

C strong
Shshsjshshasjajasja

torisob [31]2 years ago

4 0

C! strong positive! hope this helps:)

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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:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

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

<img src="https://tex.z-dn.net/?f=f%20-%20354%20%3D%201221" id="TexFormula1" title="f - 354 = 1221" alt="f - 354 = 1221" align="

alukav5142 [94]

$f-354=1221$ add 354 to both sides

$f+354-354=1221+354\\\\\boxed{f=1,575}\to\boxed{D.}$

6 0

3 years ago

Can somebody answer this worksheet. Sorry before it didnt let me.

Ahat [919]

Answer:

1: L = 5

W = 7

2: A = lw

3: 35

4: 18

5: You have to add them up because it is 1 shape broken up into different parts.

6: 53

5 0

3 years ago

The box plot represents the number of minutes customers spend on hold when calling a company.

saveliy_v [14]

Answer:

Step-by-step explanation:

By the diagram you can see that the upper quartile is 6. Also this answer was calculated and checked!

4 0

2 years ago

For this problem, assume there are 5 grey females, 4 grey males, 2 white females, and 6 white males. As in the book, the biologi

Leni [432]

Answer:

The required probability is 0.04411

Step-by-step explanation:

The number of female grey mice = 5.

The number of males grey mice = 4.

The number of female white mice = 2.

The number of male white mice = 6.

The number of mice = 17.

The probability of first mice be male grey = $\frac{4}{17}$

The probability of second mice be male grey = $\frac{3}{16}$

The probability of two mice be male grey = $\frac{4}{17} *\frac{3}{16}$ = 0.04411

3 0

3 years ago