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oksano4ka [1.4K]
2 years ago
10

In the section describing the survey methods, the report states, “For results based on the total sample of national adults, the

margin of sampling error is ±4 percentage points at the 95% confidence level.” Interpret the meaning of this statement in terms of the poll. Use any statistic given in the report as an example to explain your interpretation.
Mathematics
1 answer:
Arisa [49]2 years ago
3 0

Answer:

The interpretation of that same problem is listed throughout the section below on explanation.

Step-by-step explanation:

Interpretation:

Researchers seem to be confident with 95% that the sample selection standard error seems to be + as well as - 4 percent respectively.

This same margin of sampling error would then decrease from either the mean or average value by four percentage points smaller or even larger, it describes the survey method.

So that the above is the right answer.

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Suppose we roll a fair die and let X represent the number on the die. (a) Find the moment generating function of X. (b) Use the
Likurg_2 [28]

Answer:

(a)  moment generating function for X is \frac{1}{6}\left(e^{t}+e^{2 t}+e^{2 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)

(b) \mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die, P(X)=\frac{1}{6}

(a) Moment generating function can be written as M_{x}(t).

M_x(t)=\sum_{x=1}^{6} P(X=x)

M_{x}(t)=\frac{1}{6} e^{t}+\frac{1}{6} e^{2 t}+\frac{1}{6} e^{3 t}+\frac{1}{6} e^{4 t}+\frac{1}{6} e^{5 t}+\frac{1}{6} e^{6 t}

M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)

(b) Now, find E(X) \text { and } E\((X^{2}) using moment generating function

M^{\prime}(t)=\frac{1}{6}\left(e^{t}+2 e^{2 t}+3 e^{3 t}+4 e^{4 t}+5 e^{5 t}+6 e^{6 t}\right)

M^{\prime}(0)=E(X)=\frac{1}{6}(1+2+3+4+5+6)  

\Rightarrow E(X)=\frac{21}{6}

M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)

M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)

\Rightarrow E\left(X^{2}\right)=\frac{91}{6}  

Hence, (a) moment generating function for X is \frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right).

(b) \mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}

6 0
4 years ago
WILL MARK BRAINLIEST. When ∆RST is translated 4 units down, what are the apparent coordinates of T’?
jolli1 [7]

Answer:

T' is at (-1,-8)

Step-by-step explanation:

When we translate down 4 units, we will subtract 4 from the y coordinate

T is at (-1,-4)

We need to subtract 4 from the y coordinate

T' is at (-1,-4-4)

T' is at (-1,-8)

5 0
3 years ago
Read 2 more answers
I need help on this math question?​
Jet001 [13]

Answer: D

Step-by-step explanation:

From the equation given ,  ( -3)⁰(2x⁻¹y⁻¹)²

Recall :From the laws of indicies,

x⁰  = 1  ,and (xᵃ)ᵇ = xᵃ ˣ ᵇ = xᵃᵇ. and x⁻¹ = 1/ₓ

Therefore,

(-3)⁰ = 1,

( 2x⁻¹y⁻1 )² = 2²x⁻¹ ˣ ²y⁻¹ x ²

                = 2²x⁻²y⁻²

                =4x⁻²y⁻²

Now going by the law above, the expression will be

                =4/ₓ²y²

So the answer is D

               

8 0
3 years ago
(x-1)^2 = 12 can you please help me solve this
lora16 [44]
Go on MathPapa.com. It gives you the answer and it sometimes shows steps.
8 0
4 years ago
7. Larry, Moe, and Curly went out on the town one Saturday night. Instead of driving home they thought it would be best to sleep
NARA [144]

Answer:

There is no missing dollar.

Step-by-step explanation:

The question adds twice the $2 kept by the bell boy. Each one paid $9, so $27 of which the room cost 25 and the bellboy kept 2. Each one received 1 dollar back. Room($25)+Bellboy($2)+Change($3)=$30

If we say 27(room)+2(bellboy) you are accounting for the tip twice

5 0
3 years ago
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