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Anika [276]
3 years ago
7

A national survey asked 1,501 randomly selected employed adults how many hours they work per week. Based on the collected data,

a 95 percent confidence interval for the mean number of hours worked per week for all employed adults was given as (41.18, 42.63). Which of the following statements is a correct interpretation of the interval?
A. Ninety-five percent of all employed adults work between 41.18 hours and 42.63 hours per week.
B. The probability is 0.95 that a sample of size 1,501 will produce a mean between 41.18 hours and 42.63 hours.
C. Of all samples of size 1,501 taken from the population, 95% of the samples will have a mean between 41.18 hours and 42.63 hours.
D. We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
E We are 95% confident that the mean number of hours worked per week for all employed adults is between 41.18 hours and 42.63 hours.
Mathematics
2 answers:
Sveta_85 [38]3 years ago
4 0

Answer:

C

Step-by-step explanation:

mark me brainliest pls

Mazyrski [523]3 years ago
3 0

Answer:

<u>C</u>

Step-by-step explanation:

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A parachutist's speed during a free fall reaches 207 kilometers per hour. What is this speed in meters per second? At this speed
Mamont248 [21]
<span>The speed is 57.5 m/s and the parachutist will fall 1150 m in 20 seconds.

Explanation<span>:
We start out with the ratio 207 km/1 hr.

We know that 1 km = 1000 m; this means 207 km = 207*1000 = 207000 m. This gives us 207000 m/1 hr.

We know that 1 hr = 60 minutes, so we have 207000 m/60 min.

We also know that 1 min = 60 seconds, so 60 min = 60*60 = 3600 sec; this gives us 207000 m/3600 sec.

Dividing this, we get 57.5 m/s.

In 20 seconds, the parachutist will fall 57.5(20) = 1150 m.</span></span>
4 0
3 years ago
Read 2 more answers
EXPERTSSSS HELP (q.5)
malfutka [58]

Answer:

17

Step-by-step explanation:

We are given the equation: x=4. So, the expression turns into 1^4+2^4. 1^4=1*1*1*1, which is 1. 2^4=2*2*2*2, which is 16. Finally, 1+16 is 17, and thus we get the answer 17.

4 0
2 years ago
In the game of​ roulette, a wheel consists of 38 slots numbered​ 0, 00,​ 1, 2,..., 36. To play the​ game, a metal ball is spun a
Oxana [17]

Answer:

E(X)=-0.0526

Sd(X)=5.763

Step-by-step explanation:

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.  

Let X be a random variable which denotes the money you may win or lose on each spin.

In the game of roulette, a wheel consists of 38 slots. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, we win $35; otherwise we lose $1.  So we have just one possibility to win and 37 of lose on an individual game.

___________________________

X            P(X)

___________________________

35           1/38

-1            37/38

___________________________

In order to calculate the expected value we can use the following formula:

E(X)=\sum_{i=1}^n X_i P(X_i)

And if we use the values obtained we got:

E(X)=(35)*(\frac{1}{38})+(-1)(\frac{37}{38})=-0.0526

In order to find the standard deviation we need to find first the second moment, given by :

E(X^2)=\sum_{i=1}^n X^2_i P(X_i)

And using the formula we got:

E(X^2)=(35^2)*(\frac{1}{38})+((-1)^2)(\frac{37}{38})=33.211

Then we can find the variance with the following formula:

Var(X)=E(X^2)-[E(X)]^2 =33.211-(-0.0526)^2 =33.208

And then the standard deviation would be given by:

Sd(X)=\sqrt{Var(X)}=\sqrt{33.208}=5.763

4 0
3 years ago
Is a measure of 26 inches​ "far away" from a mean of 16 ​inches? As someone with knowledge of​ statistics, you answer​ "it depen
alexandr402 [8]

Answer: Hello!

In a normal distribution, between the mean and the mean plus the standar deviation, there is a 34.1% of the data set, between the mean plus the standar deviation, and the mean between two times the standard deviation, there is a 16.2% of the data set, and so on.

If our mean is 16 inches, and the measure is 26 inches, then the difference is 10 inches between them.

a) if the standar deviation is 2 inches, then you are 10/2 = 5 standar deviations from the mean.

b) yes, is really far away from the mean, in a normal distribution a displacement of 5 standar deviations has a very small probability.

c) Now the standar deviation is 7, so now 26 is in the range between 1 standar deviation and 2 standar deviations away from the mean.

Then this you have a 16% of the data, then in this case, 26 inches is not far away from the mean.

3 0
2 years ago
The​ ____ is another term for the arithmetic average.
antiseptic1488 [7]

The answer is the mean.

"For a data set, the arithmetic mean, also called the mathematical expectation or average, is the central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values."- Wikipedia

3 0
3 years ago
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