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Oduvanchick [21]
3 years ago
12

Often, anomalous objects are known as _____, since on a scatter plot of the data, they lie far away from other data points.

Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

<em>outliers</em>

Step-by-step explanation:

An outlier is a data point that is significantly different from other observations. An outlier might be due to inconsistency in measurements, or due to an error introduced into the experiment. Outliers cans lie extremely high or low of other observation in statistics, and they usually create a big problem for  proper analysis.

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5

Step-by-step explanation:

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Helpppp? PLease im very confused
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Yes

Step-by-step explanation:

There is a linear relationship, so there is a constant change in the graph and thus a proportional relationship.

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4 years ago
IF S.P. = Rs 1,869, loss percent = 11% find C.P.​
Veseljchak [2.6K]

Here,

Selling Price (S.P) = Rs 1869

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Cost Price (C.P) = ?

Let, C.P be x

Now,

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7 0
3 years ago
The variance in a production process is an important measure of the quality of the process. A large variance often signals an op
Flauer [41]

Answer:

There is a sufficient evidence to support the that machine 1 has the greater variance.

Step-by-step explanation:

<em>The question with the complete details can be found online.</em>

Start by stating the hypotheses.

The null hypothesis states that the variance of machine 1 is less than or equal to machine 2

So, we have:

H_o: \sigma_1 ^2 \le \sigma_2 ^2

The alternate hypothesis will then be:

H_a: \sigma_1 ^2 > \sigma_2 ^2

So, we have:

n_1 = 25               n_1 = 22

Calculate the mean of Machine 1 and 2

The mean is:

\bar x =\frac{\sum x}{n}

For machine 1, we have:

\bar x_1 =\frac{2.95+3.45+3.5+.....+3.12}{25}

\bar x_1 =\frac{83.21}{25}

\bar x_1 =3.3284

For machine 2, we have:

\bar x_2 = \frac{3.22 + 3.3 + 3.34 + ..... +3.33}{22}

\bar x_2 = \frac{72.12}{22}

\bar x_2 = 3.2782

Calculate the standard deviation of both machines

The standard deviation is:

\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

For machine 1, we have:

\sigma_1 = \sqrt{\frac{(2.95 - 3.3284)^2+(3.45 - 3.3284)^2+(3.5 - 3.3284)^2+.....+(3.12 - 3.3284)^2}{25-1}}

\sigma_1 = \sqrt{\frac{(2.95 - 3.3284)^2+(3.45 - 3.3284)^2+(3.5 - 3.3284)^2+.....+(3.12 - 3.3284)^2}{24}}

\sigma_1 = 0.2211

For machine 2, we have:

\sigma_2 = \sqrt{\frac{(3.22 - 3.2782)^2+(3.3 - 3.2782)^2+(3.44 - 3.2782)^2+.....+(3.33 - 3.2782)^2}{22-1}}

\sigma_2 = \sqrt{\frac{(3.22 - 3.2782)^2+(3.3 - 3.2782)^2+(3.44 - 3.2782)^2+.....+(3.33 - 3.2782)^2}{21}}

\sigma_2 = 0.0768

Calculate the degrees of freedom

df=n-1

For machine 1;

df_1=25-1=24

For machine 2

df_2=22-1=21

Calculate the test statistic (t)

t = \frac{Var_1}{Var_2}

Rewrite in terms of standard deviation

t = \frac{\sigma_1^2}{\sigma_2^2}

t = \frac{0.2211^2}{0.0768^2}

t = \frac{0.04888521}{0.00589824}

t = 8.2881

Lastly, calculate the p value.

This is the value of P(t > 8.2881) between the degrees of freedom i.e. 21 and 24

From the f distribution table

P(t > 8.2881) < 0.01

<em>Hence, we reject the null hypothesis</em>

3 0
3 years ago
Variation help please (last one)<br> picture down below:)
Alex Ar [27]
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