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
Jobisdone [24]
3 years ago
14

Suppose that we will randomly select a sample of 106 measurements from a population having a mean equal to 19 and a standard dev

iation equal to 7. Calculate the probability that we will obtain a sample mean less than 18.450; that is, calculate P( x < 18.450).
Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

Answer:

z =\frac{18.45-19}{\frac{7}{\sqrt{106}}}= -0.809

And if we use the normal standard distribution or excel we got:

P(z

Step-by-step explanation:

For this case we have the following info given:

\mu = 19 represent the mean

\sigma = 7 represent the standard deviation

n = 106 represent the sample size

The distribution for the sample size if we use the central limit theorem (n>30) is given by:

\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})

And for this case we want to find the following probability:

P(\bar X< 18.45)

And for this case we can use the z score formula given by:

z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z =\frac{18.45-19}{\frac{7}{\sqrt{106}}}= -0.809

And if we use the normal standard distribution or excel we got:

P(z

You might be interested in
Triangle
borishaifa [10]

Answer:

A. and B.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A new cell tower is being constructed and needs a guy-wire connected 180 feet up the tower and it needs to make an angle of 52°
nevsk [136]

Answer:

228.42 ft

Step-by-step explanation:

To solve for this question, we would be applying the Trigonometric function of Sine.

Sin theta = Opposite/Hypotenuse

Theta = 52°

Opposite = 180ft

Hypotenuse = Length of the wire = x

Hence:

sin 52 = 180/x

x = 180/sin 52

x = 228.42327871 ft

Approximately = 228.42 ft

6 0
2 years ago
Can someone please please help me please
Olenka [21]
I’m not sure, but I think you divide 360 by each one of those angles.
8 0
3 years ago
meena found the number of scoops that her friend ordered by sloving the equation 0.75x + 5 =14 exlpain
vampirchik [111]
X=12
0.75x + 5=14
Take away 5 on both sides
So 0.75x +5-5=14-5
0.75x=9
0.75x divided by 9 = 12
6 0
2 years ago
Hilda has $210 worth of $10 and $12 stock shares. The number of $10 shares is five more than twice the number of $12 shares. How
klasskru [66]
Let's first define variables.
 y: number of shares of $ 10
 x: number of shares of $ 12
 We write the system of equations:
 10x + 12y = 210
 y = 2x + 5
 Solving the system:
 x = 75/17
 y = 235/17
 Answer: 
 she has: 
 75/17 shares of $ 12 
 235/17 shares of $ 10

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which measurements are the greatest 6kilometers 60 meters 600 centimeters 6000 milimeters
    14·2 answers
  • I need help PLZ
    8·2 answers
  • What is the image point of (6,1) after a translation left 5 units and down 1 unit?
    10·1 answer
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    5·1 answer
  • M=3, b=2 in slope intercept form
    13·1 answer
  • On a coordinate plane, a line goes through points (negative 3, negative 3) and (0, 3). What is the slope of the line on the grap
    14·2 answers
  • What is the intersection of two distinct non parallel planes?
    7·2 answers
  • Solve the system of linear equations by substitution.<br><br> y−x=0<br> 2x−5y=9
    5·1 answer
  • Can someone do this for me
    15·1 answer
  • Melani earned $18.00 per hour for the first 40 hours she worked last week. She worked an additional 5.5 hours at a rate of $27.0
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!