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Ipatiy [6.2K]
3 years ago
6

What is the variance of the data 9, 7, 7.5, 7.5, 7, 8, 5, 6, 7.5, 8?0

Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0
If your last value in your data is 80 then i think your answer would be 478.4725
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Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From
maksim [4K]

Answer:

The 95% CI for the difference of means is:

-155.45 \leq \mu_1-\mu_2 \leq -44.55

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size:  4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

M_d=M_1-M_2=200-300=-100

The standard deviation can be estimated as:

\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45

The degrees of freedom are:

df=n_1+n_2-2=10+4-2=12

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55

8 0
3 years ago
Melinda ran 8,791 meters on Monday and 2,899 meters on Tuesday. How many more meters did she run on Monday than on Tuesday?
Sati [7]

Answer:

8,791- 2,899= 5892

Step-by-step explanation:

Melinda ran 5,892 more meters on monday than tuesday

8 0
2 years ago
How are the surface area and volume of a rectangular prism related to each other?
MatroZZZ [7]
The surface area of a rectangular prism is equal to the volume of a rectangular prism on their cooresponding sides.
7 0
3 years ago
Let g(x)= -x^2+4x+4. Find g(p). g(p)=_____
mixer [17]

Answer:

g(p)= -p^2+4p+4

Step-by-step explanation:

g(x)= -x^2+4x+4

Replace x with p

g(p)= -p^2+4p+4

8 0
3 years ago
Isabella solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 4x − 2x + 8 = 6x + 24 Distributive Prop
AnnZ [28]

Answer:

step 3 has incorrect justification.

Step-by-step explanation:

because it was combine like terms but 8 is still in left hand side. So,combine like terms 3 has incorrect justification.

7 0
3 years ago
Read 2 more answers
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