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
7nadin3 [17]
3 years ago
15

Suppose a random sample of n = 16 observations is selected from a population that is normally distributed with mean equal to 101

and standard deviation equal to 12.
(a) Give the mean and the standard deviation of the sampling distribution of the sample mean x(with a line above). (Enter your standard deviation to two decimal places.)

mean =

standard deviation =

(b) Find the probability that x(line above it) exceeds 107. (Round your answer to four decimal places.)

Answer:

(c) Find the probability that the sample mean deviates from the population mean μ = 101 by no more than 4. (Round your answer to four decimal places.)
Mathematics
1 answer:
stepan [7]3 years ago
6 0

Answer:

101, 3, 0.025, 0.7416

Step-by-step explanation:

Given that  a random sample of n = 16 observations is selected from a population that is normally distributed with mean equal to 101 and standard deviation equal to 12.

As per central limit theorem we have

a) Mean of sample mean = E(\bar x) =\\ \mu =101

Std deviation of sample mean = \frac{\sigma}{\sqrt{n} } =3

Mean = 101

Std dev =3.00

b) P(\bar x >107) = P(Z>\frac{107-101}{3} )\\= P(Z>2) = 0.025

c) the probability that the sample mean deviates from the population mean μ = 101 by no more than 4.

=P(|\bar x-101|) \leq 4\\= P(|z|\leq 1.13)\\= 2(0.3708)\\=0.7416

You might be interested in
Freya, a post office clerk, uses 2 yards, 1 foot, 7 inches of twine to wrap each damaged carton she repairs. She has to repair 1
Reil [10]

Answer:

42 yards 2 feet 11 inches

Step-by-step explanation:

Freya, uses 2 yards, 1 foot, 7 inches of twine to wrap each damaged carton.

She has to repair 17 cartons.

The amount of twine needed to wrap 17 cartons

=  (2 yards 1 foot 7 inches) x 17

= 34 yards  17 feet 119 inches

Now let's convert the answer to larger units

1 yard = 36 inches

1 yard = 3 feet

Convert 119 inches to yards

119 inches = 3 yards 11 inches

17 feet = 5 yards 2 feet

Therefore, 34 yards  17 feet 119 inches = (34 + 3 + 5 ) yards 2 feet  11 inches

Answer = 42 yards 2 feet 11 inches

Thank you.

4 0
3 years ago
The corner store is open 18 hours a day for 365 days a year. how many hours is the store open in a year?
Svetach [21]

Answer:

6570

Step-by-step explanation:

18x365=^

6 0
2 years ago
I need help plsssssssss and thank you!!!!!!
mezya [45]

Answer:

169.56

Step-by-step explanation:

The formula for finding the volume of a cylinder is: πr²h

First step: Plug in the radius and height: π•3²•6

Second step: Plug 3.14 for π: 3.14•3²•6

Third step: Simplify the equation: 3.14•9•6

Fourth step: Multiple to get your final answer: 3.14•9=28.26•6= 169.56

8 0
2 years ago
Henry buys a softball for $16 plus a 9% tax. Ella buys a pair of shoes for $17 plus a 9% tax. Enter the difference in the
Anvisha [2.4K]

Answer:

$1.09

Step-by-step explanation:

Henry: 16 increase 9% =

16 × (1 + 9%) = 16 × (1 + 0.09) = 17.44

Ella: 17 increase 9% =

17 × (1 + 9%) = 17 × (1 + 0.09) = 18.53

Difference: 18.53 - 17.44 = 1.09

3 0
3 years ago
Michael is putting a circular window in a wall in his house. He measures out the radius of the window to be 3 feet, and decides
enyata [817]

Answer:

circumfrence = 2 x pi x r

C = 2 x 3.14 x 3

C = 18.84 feet

Don't agree with Conclusion.

Mistake was he didn't multiply by pi (3.14)

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Really really need this answer. Please help!
    9·1 answer
  • The area of a circle is 16pi cm2. What is the circle's circumstance?
    11·1 answer
  • PLEASE HELP SUPER EASY 10 POINTS DUE TOMARROW
    13·1 answer
  • Carol is ordering t-shirts for her club and there are two different patterns to choose from. The first shirt is green and blue s
    11·1 answer
  • What is the area of a parallelogram?
    5·2 answers
  • Find the volume for the regular pyramid.<br><br> V =
    10·2 answers
  • You walk 1/5 miles to a clothing store. Than you walk another 1/4 miles to a shoe store. How many miles have you walked in all?
    12·1 answer
  • HELP PLEASE HURRY AAAAAeeeee
    11·1 answer
  • What is the range of the data set?
    12·2 answers
  • PLEASE HELP ME !!! 5. Jack is choosing between two pest control companies, Mouse Arrest and Hugs, not Bugs. The amount that the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!