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3 years ago

Please help me answer these. Its all about upper and lower bounds.

Mathematics

1 answer:

sergeinik [125]3 years ago

5 0

Answer:

red question= 8.5 yellow question=4.25

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:

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

1. A line passes through (9, -9) and (10,-5).

jenyasd209 [6]

Answer:

1. y+5=4x-40

2.y=4x-45

Step-by-step explanation:

To get the slope of a line you do y₂-y₁/x₂-x₁ so we plug in the values -9+5/9-10 and we get -4

Point-slope form states y-y₁=m(x-x₁) where m is the slope so plug in the values we get y+5=4(x-10) and you get y+5=4x-40 then turn this equation into y=mx+b and get y= 4x-45

5 0

3 years ago

The x-intercept of the graph of f(x)= 3log(x-5)+2 is:

Mkey [24]

Your answers we equal to 22

8 0

3 years ago

Read 2 more answers

Solve pls (correctly) brainliest if correct! I, lots of points!

BabaBlast [244]

Answer:

Step-by-step explanation:

First, find the equation of the line:

put it in the form y = mx + b where m is the slope and b is the y-intercept

You already have m = 2, so y = 2x + b.

Then, since you know (1, 3) is a solution so you can plug x = 1 and y = 3 into the equation to find out what b is.

3 = 2 * 1 + b

3 = 2 + b

1 = b

This means the equation of the line is y = 2x + 1.

Then, since you're trying to find out what y is when x = 2, you can plug in x = 2 into the equation:

y = 2 * 2 + 1

y = 4 + 1

y = 5

5 is the answer

3 0

2 years ago

(50)points 5 questions!

vodomira [7]

I believe the answers are 1. C 2. B 3. D 4. C 5. A

3 0

3 years ago

Read 2 more answers