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
lisabon 2012 [21]
3 years ago
11

In a large population of college-educated adults, the mean IQ is 118 with a standard deviation of 20. Suppose 200 adults from th

is population are randomly selected for a market research campaign. The probability that the sample mean IQ is greater than 120 is ____
Mathematics
1 answer:
cricket20 [7]3 years ago
3 0

Answer: 0.0793

Step-by-step explanation:

Let the IQ of the educated adults be X then;

Assume X follows a normal distribution with mean 118 and standard deviation of 20.

This is a sampling question with sample size, n =200

To find the probability that the sample mean IQ is greater than 120:

P(X > 120) = 1 - P(X < 120)

Standardize the mean IQ using the sampling formula : Z = (X - μ) / σ/sqrt n

Where;  X = sample mean IQ; μ =population mean IQ; σ = population standard deviation and n = sample size

Therefore, P(X>120) = 1 - P(Z < (120 - 118)/20/sqrt 200)

                                 = 1 - P(Z< 1.41)

The P(Z<1.41) can then be obtained from the Z tables and the value is 0.9207

Thus; P(X< 120) = 1 - 0.9207

                          = 0.0793

You might be interested in
Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:
deff fn [24]

Answer:

Length of AB=Length of A'B' because they are corresponding sides.

you should definetely mark me brainliest ;)

4 0
2 years ago
Read 2 more answers
Which is another way to write the expression t • (14 - 5)
zaharov [31]
C is the answer by using distributive property

8 0
3 years ago
Read 2 more answers
3( + 4) + 8 = —3<br> solve
egoroff_w [7]
3x4 to 12
12+8
Answer 20
5 0
3 years ago
(9y® + 2)2 =<br> combine like terms
Vsevolod [243]

Answer:

81y^2+36y+4

Step-by-step explanation:

First: 9y^2= 81y

Next: 2^2= 4

Then: 9y times 2= 18

Last: 18 times 2= 36y

(this : ^2 means squared in case you did not know)

4 0
3 years ago
courtney has 155 coins in her purse. all of the coins are quarters and dimes, worth a total of $30.20. how many quarters does sh
Assoli18 [71]

Answer: she would have 98 quarters

3 0
3 years ago
Other questions:
  • Marion is making trail mix for a group camping trip. She buys 3 pounds of granola for $3 per pound, and 0.75 pounds of raisins f
    9·2 answers
  • How do u find the answer
    14·1 answer
  • If you flip a fair coin 444 times, what is the probability that you will get exactly 222 tails?
    11·2 answers
  • He coordinates below represent two linear equations.
    15·1 answer
  • The water level of a certain lake is at 35 feet. Due to recent storms, the water level is rising at a rate of 3 inches per day.
    15·1 answer
  • Find the selling price. Cost to store 90$. Markup 70%
    11·1 answer
  • What is the gcf of 15r,25?
    11·2 answers
  • 1)A fisheries biologist wants to estimate the average weight of small mouth bass in Gull
    9·1 answer
  • Pls help me , I ll give u the brainliest
    6·2 answers
  • Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!