23.07.2020

A growth-mindset researcher plans to take an SRS of 200 teenagers from the population of teenagers in North America to see what proportion of teenagers sampled are pursuing a goal they have set for themselves. Suppose that 75% of teenagers in North America are pursuing a goal they have set for themselves. Let p represent the proportion of a sample of 200 teenagers in North America who are pursuing a goal they have set for themselves. What are the mean and standard deviation of the sampling distribution of p?

. 0

Step-by-step answer

24.06.2023, solved by verified expert
Unlock the full answer
14 students found this answer . helpful

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean A growth-mindset researcher plans to take an, №17886787, 23.07.2020 03:49 and standard deviation A growth-mindset researcher plans to take an, №17886787, 23.07.2020 03:49

75% of teenagers in North America are pursuing a goal they have set for themselves.

This means that A growth-mindset researcher plans to take an, №17886787, 23.07.2020 03:49

Sample of 200.

This means that A growth-mindset researcher plans to take an, №17886787, 23.07.2020 03:49.

What are the mean and standard deviation of the sampling distribution of p?

By the Central Limit Theorem

Mean A growth-mindset researcher plans to take an, №17886787, 23.07.2020 03:49

Standard deviation A growth-mindset researcher plans to take an, №17886787, 23.07.2020 03:49

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

It is was helpful?

Faq

Mathematics
Step-by-step answer
P Answered by PhD

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

75% of teenagers in North America are pursuing a goal they have set for themselves.

This means that p = 0.75

Sample of 200.

This means that n = 200.

What are the mean and standard deviation of the sampling distribution of p?

By the Central Limit Theorem

Mean \mu = p = 0.75

Standard deviation s = \sqrt{\frac{0.75*0.25}{200}} = 0.0306

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Try asking the Studen AI a question.

It will provide an instant answer!

FREE