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LUCKY_DIMON [66]
2 years ago
5

What is the equation of a line with an x-intercept of -3 and a y-intercept of 5?

Mathematics
1 answer:
Yuri [45]2 years ago
6 0

Answer:

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
Plz help help help help help
Crank

Answer:

is should  be 11  hours hope it helps

Step-by-step explanation:

sorry if wrong people i didnt mean to tho

8 0
3 years ago
Joe plans to buy a pair of golf shoes. The original price of the pair Joe wants is $75, but they are now on sale for 20% off. Wh
nordsb [41]
Answer is D. $60.00 I believe
5 0
2 years ago
Read 2 more answers
A rectangular play area is 8 yards long. The expression 56+8x represents the area of the play area in square yards. What express
VikaD [51]

Answer:

w = 7 + x

Step-by-step explanation:

The formula for the area of a rectangle is

A = lw

56 + 8x = 8w

Divide both sides by 8

w = 7 + x

4 0
3 years ago
Mrs. Portillo's cat weighs 6 kilograms. Her dog weighs 22 kilograms more than her cat. What is the total weight of her cat and d
topjm [15]
Cat=6
dog=22+6
total kilograms = 6+(22+6)= 34
5 0
3 years ago
Read 2 more answers
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