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3 years ago

Which biased estimator will have a reduced bias based on an increased sample size? mean median standard deviation range

1 answer:

8 0

The answer is: [C]: standard deviation ..
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Explanation:
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However, note that the mean of a sample from a normal population (that is, a type of "standard deviation" known as "standard deviation from a sample mean", is an "unbiased estimator" of the "population mean".

We shall represent the "sample mean" as: x̅<span> ;
(pronounced: "x-bar"; that is; "ex-bar"); this is the usual symbol used;
</span>
We shall represent the sample size as "n" ;
(This is the usual variable used; note that
"n" is a numeric value).
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The standard deviant from the sample mean:

(n * x̅) / (n + 1) is a "biased estimator of the mean" that becomes "unbiased" as the sample size increases; since as "n" increases in values; the value of the entire entire expression becomes smaller (i.e the standard deviation becomes smaller.
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how many pounds of coffee worth $10 a pound should be added to 20 pounds of coffee worth $4 a pound to get a mixture worth $5 a

Solnce55 [7]

Answer:

Step-by-step explanation:

1. if the mass of coffee worth $10 is 'x', then its worth is 10x, and the worth of the mixture is 5(x+20);

2. using the previous item it is possible to write the next equation:

5(x+20)=4*20+10*x; ⇒ x=4.

3. the required mass is 4 pounds.

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3 years ago

Kelly has a recipe for muffins that asks for 1 1/2 cups of sugar. She wants to use half that amount of sugar. How much sugar wil

olga nikolaevna [1]

answer:

3/4 cups of sugar

Explanation:

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3 years ago

Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the ai

ollegr [7]

Answer:

The probability that the aircraft is overload = 0.9999

Yes , The pilot has to be take strict action .

Step-by-step explanation:

P.S - The exact question is -

Given - Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,216 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6216/37 = 168 lb. Assume that weight of men are normally distributed with a mean of 182.7 lb and a standard deviation of 39.6.

To find - What is the probability that the aircraft is overloaded ?

Should the pilot take any action to correct for an overloaded aircraft ?

Proof -

Given that,

Mean, μ = 182.7

Standard Deviation, σ = 39.6

Now,

Let X be the Weight of the men

Now,

Probability that the aircraft is loaded be

P(X > 168 ) = P( $\frac{x - \mu}{\sigma} > \frac{168 - \mu}{\sigma}$ )

= P( z > $\frac{168 - 182.7}{39.6}$ )

= P( z > -0.371)

= 1 - P ( z ≤ -0.371 )

= 1 - P( z > 0.371)

= 1 - 0.00010363

= 0.9999

⇒P(X > 168) = 0.9999

As the probability of weight overload = 0.9999

So, The pilot has to be take strict action .

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3 years ago

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vitfil [10]

Answer:

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