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3 years ago

HELP ASAP DUE TODAY IT IS EASY IM JUST TOO LAZY IM SO SORRY

Mathematics

1 answer:

ankoles [38]3 years ago

8 0

Answer:

B. Mean absolute deviation

Step-by-step explanation:

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

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A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and

mr Goodwill [35]

Answer:

Bias for the estimator = -0.56

Mean Square Error for the estimator = 6.6311

Step-by-step explanation:

Given - A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and X2. The mean is estimated using the formula (3X1 + 4X2)/8.

To find - Determine the bias and the mean squared error for this estimator of the mean.

Proof -

Let us denote

X be a random variable such that X ~ N(mean = 4.5, SD = 7.6)

Now,

An estimate of mean, μ is suggested as

$\mu = \frac{3X_{1} + 4X_{2} }{8}$

Now

Bias for the estimator = E(μ bar) - μ

= $E( \frac{3X_{1} + 4X_{2} }{8}) - 4.5$

= $\frac{3E(X_{1}) + 4E(X_{2})}{8} - 4.5$

= $\frac{3(4.5) + 4(4.5)}{8} - 4.5$

= $\frac{13.5 + 18}{8} - 4.5$

= $\frac{31.5}{8} - 4.5$

= 3.9375 - 4.5

= - 0.5625 ≈ -0.56

∴ we get

Bias for the estimator = -0.56

Now,

Mean Square Error for the estimator = E[(μ bar - μ)²]

= Var(μ bar) + [Bias(μ bar, μ)]²

= $Var( \frac{3X_{1} + 4X_{2} }{8}) + 0.3136$

= $\frac{1}{64} Var( {3X_{1} + 4X_{2} }) + 0.3136$

= $\frac{1}{64} ( [{3Var(X_{1}) + 4Var(X_{2})] }) + 0.3136$

= $\frac{1}{64} [{3(57.76) + 4(57.76)}] } + 0.3136$

= $\frac{1}{64} [7(57.76)}] } + 0.3136$

= $\frac{1}{64} [404.32] } + 0.3136$

= $6.3175 + 0.3136$

= 6.6311

∴ we get

Mean Square Error for the estimator = 6.6311

6 0

3 years ago

which cost more. 8 printers priced at $145 per printer or 3 laptop computer priced at $439 per computer? explain.

Elodia [21]

8 printers for $145 each is a total of $1160.

3 laptops for $439 is a total of $1317.

Therefore, the price of 3 laptops for $439 each cost more than 8 printers for $145 each.

8 0

3 years ago

Read 2 more answers

The equation y = 5x represents the amount of miles Fran runs in x days. When a graph of this situation is drawn, what does the p

GuDViN [60]

so y=5x on a graph is going to look like a 5/1 slope. X represents days and Y represents miles. So (1,5) means in 1 day Fran runs 5 miles.

4 0

4 years ago

Read 2 more answers

A car weighs 2332 pounds. If 372 pounds of old parts are removed and replaced with 412 pounds of new parts, find new weights of

Makovka662 [10]

Answer:

2372

Step-by-step explanation:

You would do the equation 2332-372+412

5 0

3 years ago

I need help with this problem if anybody can help thank you

xxMikexx [17]

I think the answer is B. because the sum of the 2 smaller numbers is greater than the 3rd number.

a. 8+6 = 14 ; 14 is less than 16 ; wrong
b. 8+6 = 14 ; 14 is greater than 10 ; correct
c. 7+6 = 13 ; 13 is less than 14 ; wrong
d. 6+7 = 13 ; 13 is less than 20 ; correct

Hope this helped☺☺

4 0

3 years ago