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
Airida [17]
3 years ago
7

Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. ​(a) Descri

be the sampling distribution of x overbar. ​(b) What is Upper P (x overbar greater than 75.9 )​? ​(c) What is Upper P (x overbar less than or equals 71.95 )​? ​(d) What is Upper P (73 less than x overbar less than 75.75 )​?
Mathematics
1 answer:
OlgaM077 [116]3 years ago
5 0

Part a)

The simple random sample of size n=36 is obtained from a population with

\mu = 74

and

\sigma = 6

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

\mu = 74

The standard error of the means becomes the standard deviation of the sampling distribution.

\sigma_ { \bar X }  =  \frac{ \sigma}{ \sqrt{n} }  \\ \sigma_ { \bar X }  =  \frac{ 6}{ \sqrt{36} }  = 1

Part b) We want to find

P(\bar X \:>\:75.9)

We need to convert to z-score.

P(\bar X \:>\:75.9)  = P(z \:>\: \frac{75.9 - 74}{1} )  \\  = P(z \:>\: \frac{75.9 - 74}{1} ) \\  = P(z \:>\: 1.9) \\  = 0.0287

Part c)

We want to find

P(\bar X \: < \:71.95)

We convert to z-score and use the normal distribution table to find the corresponding area.

P(\bar X \: < \:71.95)  = P(z \: < \: \frac{71.9 5- 74}{1} )  \\  = P(z \: < \: \frac{71.9 5- 74}{1} ) \\  = P(z \: < \:  - 2.05) \\  = 0.0202

Part d)

We want to find :

P(73\:

We convert to z-scores and again use the standard normal distribution table.

P( \frac{73 - 74}{1} \:< \: z

You might be interested in
For the line segment whose endpoints are A (0, 0) and B (4, 3), find the x coordinate for the point located 2 over 3 the distanc
WARRIOR [948]

Answer:

<h3>3.3</h3>

Step-by-step explanation:

Distance between AB is expressed as;

AB = √(3-0)²+(4-0)²

AB = √3²+4²

AB =√9+16

AB = √25

AB = 5

2 over 3 the distance from A to B is expressed as;

2/3 of AB

= 2/3 * 5

=10/3

= 3.3

6 0
3 years ago
Read 2 more answers
Hi I need helppppppppppppppppppp
tatiyna
3738383792639263846736283
5 0
2 years ago
Read 2 more answers
The question is in the picture please help
ahrayia [7]

Answer:

Claim 2

Step-by-step explanation:

The Inscribed Angle Theorem* tells you ...

... ∠RPQ = 1/2·∠ROQ

The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.

... 2·∠RPQ = ∠ROQ

The symmetric property of equality says you can rearrange this to ...

... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ

_____

* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.

You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.

4 0
3 years ago
Helppp the tutorsss arent workinggg
Rama09 [41]

Answer:

210.82

Step-by-step explanation:

arc length= 2pi r (Ø/360)

= 2x 3.14 x 47(257/360)=210.82

5 0
3 years ago
Find the value of the 100th and 1000th term in the sequence { 3,-5,7,-9,...}
pogonyaev
The value of 100th is 201
and the value of 1000th is 2001
7 0
3 years ago
Other questions:
  • The product of 6 and c
    9·1 answer
  • What is 5/6 divided by 2/7
    10·2 answers
  • morris bought 2 in a half feet of felt the price of felt was $3.90 per yard. how much did morris pay for his felt
    10·1 answer
  • Why is the percent of change from 145 pounds to 132 pounds
    11·1 answer
  • Find the distance between the two points rounding to the nearest tenth (if necessary).
    13·1 answer
  • Simplify. Assume that no denominator is equal to zero. (2a/a^2) ^-3
    6·1 answer
  • What is the most common denomonator out of ⅓ ⅕
    6·2 answers
  • It’s has to be in y=Mx+b that you
    6·1 answer
  • Help me pleaseee geometry’s not my stringsuit:(
    7·1 answer
  • If 60 is increased by 90%, what is the new amount?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!