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
Find the perimeter and area of the figure. Round to the nearest tenth if necessary. 33.7 mm; 108 mm2 33.7 mm; 54 mm2 30.7 mm; 50
Deffense [45]

Answer:

Perimeter: 33.7 mm

Area: 54 mm

Step-by-step explanation:

If you do 12 + 9.7 + 12 you will get the perimeter, and to get the area you would use the formula A = \frac{1}{2} x base x height. Since the base is 12 and the height is 9, you would do 12 x 9 x 0.5 to get 54 mm for the area of the triangle.

8 0
2 years ago
Anybody please help me
vladimir1956 [14]

Answer:

reflection over the y axis

Step-by-step explanation:

4 0
2 years ago
Point E is the midpoint of AB and point F is the midpoint
GREYUIT [131]

The options are;

1) AB is bisected by CD

2) CD is bisected by AB

3) AE = 1/2 AB

4) EF = 1/2 ED

5) FD= EB

6) CE + EF = FD

Answer:

Options 1, 3 & 6 are correct

Step-by-step explanation:

We are told that Point E is the midpoint of AB. Thus, any line that passes through point E will bisect AB into two equal parts.

The only line passing through point E is line CD.

Thus, we can say that line AB is bisected by pine CD. - - - (1)

Also, since E is midpoint of Line AB, it means that;

AE = EB

Thus, AE = EB = ½AB - - - (2)

Also, we are told that F is the mid-point of CD.

Thus;

CF = FD

Point E lies between C and F.

Thus;

CE + EF = CF

Since CF =FD

Thus;

CE + EF = FD - - - (3)

5 0
3 years ago
In a box and whisker plot, can the upper quartile also be the greatest value? Explain
Luda [366]

Answer:

No

Step-by-step explanation:

The upper Quartile is also known as the third quartile. And the greatest value is at the far right of the plot I placed an image below

3 0
3 years ago
A recipe called for the ratio to sugar to flour to be 5:1. If you used 35 ounce of sugar, how many ounces of flour would you nee
attashe74 [19]

Answer:

7 ounces.

Step-by-step explanation:

35 divided by 5 = 7.

8 0
2 years ago
Other questions:
  • The City Zoo has different admission prices for children and adults. When three adults and two children went to the zoo, the pri
    5·1 answer
  • HELP QUICK PLEASE I WILL MARK BRAINLIEST
    7·2 answers
  • At the movie theatre, child admission is $5.20 and adult admission is $8.80. On Saturday, 123 tickets were sold for a total sale
    6·1 answer
  • ...........................
    14·1 answer
  • What is the midpoint between 0.03 and 0.04
    14·1 answer
  • 50 POINTS +THANKS +5 STARS
    6·2 answers
  • HELPPP!!!<br> find the value of each expression then answer the questions.
    10·1 answer
  • To find quotient of 4divided1/5,multiply 4 by
    6·1 answer
  • Hi, can someone help with this problem ASAP?
    6·1 answer
  • If f(x) = 7x+ 8, find f'(x).
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!