1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lorico [155]
3 years ago
6

In 2019, 15.9% of Broadway actors were acting in their first role on Broadway. Suppose we took a survey of 38 Broadway actors an

d found that 18.4% of the actors we surveyed were first-timers. What are the mean and standard deviation for the sampling distribution of pÌ p^? 1. Mean: 0.159, Standard Deviation: 0.0592. Mean: 0.159, Standard Deviation: 0.36573. Mean: 0.184, Standard Deviation: 0.0634. Mean: 0.184, Standard Deviation: 0.0595. Mean: 0.159, Standard Deviation: 0.063In 2019 the CDC reported that 14.0% of US adults are smokers. Suppose you take a random sample of 30 smokers and find that the proportion of them who are current smokers is 16.7%.What is the mean and the standard deviation of the sampling distribution of pÌ p^ ?1. mean = 0.140, standard deviation = 0.0682. mean = 0.167, standard deviation = 0.0633. mean = 0.140, standard deviation = 0.0634. mean = 0.167, standard deviation = 0.068
Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0

Answer:

For the Broadway actors acting in their first role on Broadway, mean: 0.184, Standard Deviation: 0.063.

For the proportion of smokers, mean = 0.167, standard deviation = 0.068

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

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}}

Suppose we took a survey of 38 Broadway actors and found that 18.4% of the actors we surveyed were first-timers.

This means that p = 0.184, n = 38

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

Mean:

\mu = p = 0.184

Standard deviation:

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.184*0.816}{38}} = 0.063

Suppose you take a random sample of 30 smokers and find that the proportion of them who are current smokers is 16.7%.

This means that n = 30, p = 0.167

What is the mean and the standard deviation of the sampling distribution of p^ ?

Mean:

\mu = p = 0.167

Standard deviation:

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.167*0.833}{30}} = 0.068

You might be interested in
What is the domain of the relation below?
Andrei [34K]

Answer:

the answer : domain is third one

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Simplify the expression 4-(-3)
denpristay [2]
Subtracting a negative is the same as adding it.
4-(-3)=4+3=7
3 0
3 years ago
Could someone break it down. I am not catching on.
sleet_krkn [62]
\bf -0.04y+0.11(9000-y)=0.35y
\\\\\\
-0.04y+990-0.11y=0.35y
\\\\\\
990-0.15y=0.35y\implies 990=0.35y+0.15y
\\\\\\
990=0.50y
\implies 
\cfrac{990}{0.5}=y\implies 1980=y
6 0
3 years ago
Please help me<br> How many solutions does the equation<br> 1-(6x - 4) = 3(1 – x) have?
AnnZ [28]

Answer: one solution

this is all i know

3 0
3 years ago
Read 2 more answers
You have invited friends over
Agata [3.3K]

Answer:

16

Step-by-step explanation:

Each could be watched in the places of 1,2,3 or 4. So each movie has 4 places it could be. Since you rented 4 movies you would do 4x4 which equals 16.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Have students write the answer to the essential question and draw examples to explain their answer. Essential Question is how ca
    6·1 answer
  • Which of the following is a main economic variable that affects business cycles?
    8·2 answers
  • What is the average of 36 and 83 ?
    13·2 answers
  • . When the last 3 digits of a year (such as
    8·1 answer
  • Charles is planning his son’s birthday party and has a budget of $100. The Go Cart Corral charges $8 per child. How many childre
    13·1 answer
  • Find the inverse of function f. f(x)=9x+7 A. B. C. D.
    6·1 answer
  • 3/4 empress fraction as decimal
    6·1 answer
  • Evaluate the following expressions: plz help me <br> 0.65 x 10^2<br> 1.1 X 10^3<br> 0.56 x 10^3
    9·1 answer
  • By selling a T.V for ₹34,500 a shopkeeper makes a profit of 15%. Find the cost price of T.V set.
    15·1 answer
  • For the Celsius temperature given, determine the corresponding Fahrenheit temperature. Use the formula t℃=(32+1.8t)℉ for any rat
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!