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
shtirl [24]
3 years ago
13

Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally

distributed with a mean equal to 100 and a standard deviation equal to 15. explain your reasoning. (a) p(90≤sample mean≤110) for a random sample of size n = 10 (b) p(90≤sample mean≤110) for a random sample of size n = 20
Mathematics
1 answer:
Nana76 [90]3 years ago
5 0
Answer: The probability in (b) has higher probability than the probability in (a).

Explanation:

Since we're computing for the probability of the sample mean, we consider the z-score and the standard deviation of the sampling distribution. Recall that the standard deviation of the sampling distribution approximately the quotient of the population standard deviation and the square root of the sample size.

So, if the sample size higher, the standard deviation of the sampling distribution is lower. Since the sample size in (b) is higher, the standard deviation of the sampling distribution in (b) is lower. 

Moreover, since the mean of the sampling distribution is the same as the population mean, the lower the standard deviation, the wider the range of z-scores. Because the standard deviation in (b) is lower, it has a wider range of z-scores.

Note that in a normal distribution, if the probability has wider range of z-scores, it has a higher probability. Therefore, the probability in (b) has higher probability than the probability in (a) because it has wider range of z-scores than the probability in (a).       
You might be interested in
Chantal is building a fence around her swimming pool. The pool is 25 ft long and12 ft wide, and she wants a 6-ft wide rectangula
Alex_Xolod [135]
25 /12*6 =12.5 or thats what i got 
4 0
3 years ago
Which sequences are geometric? Check all that apply.
Agata [3.3K]

Answer:

The first, third and last sequences

3 0
2 years ago
Multiply: 68.1 x 0.8 ___________________ explain it plz
MArishka [77]

Answer:

54.48

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
3) If the population of the United States increased to 420 million and the number of
shutvik [7]

Answer:

About 965517 Americans.

7 0
2 years ago
Read 2 more answers
Simplify the expression (62)4.
BARSIC [14]

Answer:

(31)2 is the answer to (62)4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • The graph of the function B is shown below. If B(x) = -1, then what is x?
    11·1 answer
  • Please help ^^ -Rudy has arranged to buy a car for $10,240. He has a $3000 trade-in allowance and will make a $2000 down payment
    9·1 answer
  • SOMEONE PLEASE ANSWER ASAP!! 55 POINTS!!
    9·1 answer
  • Find the slope of the line that passes through the points (4,10) and (2,10)
    5·1 answer
  • A full-time employee who works 40 hours week earns 19.50 per hour. Estimate that person’s annual income
    11·1 answer
  • jordan is mailing a package at the post office .The box measures 8 3/4 inches long ,2 6/7 inches wide and 5 inches high.What is
    11·2 answers
  • Given cube inscribed in sphere with edges √243 cm. Find the volume of sphere
    13·1 answer
  • Need help giving 10 Points. Answer—and explanation
    13·1 answer
  • Owens Orchards sells apples in a large bag by weight. A sample of seven bags contained the following numbers of apples: 23, 19,
    15·1 answer
  • Which of the following is a quadratic equation that has the roots x = 2 and x = −7? (4 points)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!