Is x^2-3x-23 polynomial

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

Can you help me to solve this

mr Goodwill [35]

Answer:

$11 \frac{1}{4}$ = $\frac{45}{4}$ = $11.25$

Step-by-step explanation:

Hi!

Next time, I'd recommend just typing in the number, this is a bit hard to see.

To the point!

11 $\frac{1}{4}$ is equivalent to $\frac{45}{4}$ and in decimal form is 11.25.

Hope this helps!

- Sahkfam

Also note if you want any more explanation, please comment.

8 0

4 years ago

Carrie missed 9.6% of the problems on a test. The test had a total of 125 problems.

Nataly_w [17]

Answer:

G 13

Step-by-step explanation:

X/125 = 9.6%/100%

125*(9.6) / 100 = 12;

BEST estimate 13

7 0

3 years ago

..........................................................................Why?..................

Elenna [48]

Why what? What question fo you have?

4 0

3 years ago

Read 2 more answers

A box Is filled with 20 pounds of paper, brown paper takes 1/4 of the box.

Natali5045456 [20]

Answer:

The brown paper weighs 80 ounces.

Step-by-step explanation:

Since the brown paper takes up 1/4 of the 20 pounds of paper in the box, there are $\frac{1}{4}*20=5$ pounds of brown paper.

We know that 1 pound = 16 ounces, so 5 pounds of brown paper weighs 5 * 16 = 80 ounces.

The brown paper weighs 80 ounces.

5 0

4 years ago