The distribution of sample means for monthly employee income at a particular company for samples of 70 employees is​ normal, with a mean of ​$5971 and a standard deviation of ​$219 . You take a random sample of 70 employees from the company and find that their mean monthly income is ​$5 comma 751 . How many standard deviations is the sample mean from the mean of the distribution of sample​ means? Round to one decimal place.

Answers

Answer 1

Answer:

The value is  [tex]z = -8.4[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  70  

    The mean is  [tex]\mu = \$ 5971[/tex]

    The standard deviation is  [tex]\sigma = \$ 219[/tex]

     The sample mean is  [tex]\= x = \$ 5751[/tex]

Generally the number of standard deviations the sample mean is from the mean of the distribution is mathematically represented as

         [tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=>      [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]

=>      [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]    

=>      [tex]z = -8.4[/tex]    


Related Questions

What is the equation relating x and
y together?
y
1
2
3
4
5
25
23
21
19
17
y=-2x + [?]

Answers

Answer:

ommmm I have no idea Butt 1 of my fav numb is 17 so pick that

The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.

Fraction:
Decimal:
Percent:

Answers

Answer:

Below.

Step-by-step explanation:

10 rectangles, 2 are shaded in.

Fraction: 1/5

Decimal: 0.2

Percent: 20%

Please help me
Find the value of x.​

Answers

Answer:

d: x = -8

Step-by-step explanation:

40 + 65 + x + 83 = 180  (sum of internal angles of a triangle)

x = 180 - 40 - 65 - 83

x = -8

Casey walked 2.1 miles to the grocery store. She then walked 0.5 miles to the post office and 0.8 miles to work. How far did she walk in total? Convert your answer into kilometers.

Answers

Answer:

3.4 miles and 5.472 kilometers

Hurry please
I need the answer to this one in 2 minutes

Answers

Answer:

125

Step-by-step explanation:

45 ÷9=5

5² or 5×5=25

25×5=125

Hope this helps!

Answer:

I THINK ITS

Step-by-step explanation:

5x(2025 ÷81)

5x25

125

!!HELP!! What is q times 10?

Answers

Answer:

Q10. You just put them together because it's multiplying of a letter and a number

**I thought I answered this question yesterday, is this a deja vu or something**



3.5x + 4y if x=3 and y = 7
4 6x-42 if x =4 and 2
5.83 +4 ry if y=2 and y= 100

Answers

3,5×  3 + 4 × 7 =3 8,5

46*4-42=143      46* 2- 4 2=  50

5,83+4*2=13,83 5,83+4*100=405,83

Question 1 (5 points)
Saved
(01.01 LC)

Which of the following is a rational number? (5 points)

square root of 2, square root of 3, square root of 4, and square root of 5
Question 1 options:

1)

square root of 2

2)

square root of 3

3)

square root of 4

4)

square root of 5

Answers

Answer:

Square root of 4 is ans

Step-by-step explanation:

Answer:

4) square root of 4

Step-by-step explanation:

If 12 cookies cost $3 how much would it be for 9 cookies

Answers

$36 is the answer :)
you use ratios. if 12 whole cookies cost only 3 dollars.
12:3
9:x
x is how much it would cost. so try to find x.
x= 2.25
9 cookies cost 2 dollars and 25 cents

A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1oth of a percent, thai
all three marbles drawn will be green?

Answers

Answer:

20%

Step-by-step explanation:

4+3+7=14

14÷7=2

2×10=20

If I am wrong please tell me I haven't had to do this me method in 3 years

what is equivalent to 6x-3y=12

Answers

Answer: x= 1/2y+2

Step-by-step explanation:

the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then replaced and then a second card is selected find the probality of obtaining​ the letter p twice

Answers

Answer:

The probability of obtaining the letter p twice is 1/121

Step-by-step explanation:

Probability of Recurring Events

There are 11 letters in the word 'independent', one of which is the letter 'p'.

When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.

This means the individual probability of getting a 'p' is:

[tex]\displaystyle P_1=\frac{1}{11}[/tex]

The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:

[tex]\displaystyle P_2=\frac{1}{11}[/tex]

We'll use the multiplication rule. Just multiply the probability of the first event by the second.

[tex]\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}[/tex]

[tex]\displaystyle P=\frac{1}{121}[/tex]

The probability of obtaining the letter p twice is 1/121

Someone please help look at the picture please anything would help

Answers

The first two are no then the last one is yes :)

Angel Sanchez has 10 books on a shelf; 5 mysteries, 4 science fiction books, and 1 biography. Determine the probability of each situation below.
a) Selecting one biography and then one mystery, with replacement
b) Selecting one biography and then one mystery, without replacement
a) The probability of selecting one biography and then one mystery, with replacement, is 17
(Type an integer or a simplified fraction)

Answers

Answer:

a)  1/10 x 5/10 = 1/20

b) 1/10 x 5/9 = 1/18

Step-by-step explanation:

a) Probability of selecting one biography and then one mystery, with replacement: 1/20

b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.

The probability of each situation can be calculated as follows:

a) Selecting one biography and then one mystery, with replacement:

With replacement means that after each selection, the book is put back on the shelf before the next selection.

The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).

The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/10) = 1/20

So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.

b) Selecting one biography and then one mystery, without replacement:

Without replacement means that after each selection, the book is not put back on the shelf before the next selection.

The probability of selecting the biography first is still 1 out of 10 books.

However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%

So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.

To know more about Probability, refer here:

https://brainly.com/question/27784798

#SPJ2

Can you help me understand?

Answers

Answer:

-3,10

Step-by-step explanation:

y = -8x – 3
x+y=7
Is (3, 4) a solution of the system?

Answers

4 = -8(3) - 3
4 = -24-3 false

3 + 4 = 7 true

The first one is false, second is true

Answer: the answer is no :)

Grade 4 Mathematics- Checkpoint #3
In 2008 the total number of cell phone users in Indonesia was about 140,578,000. Which expression has the same value as 140,578,000?

Answers

Answer:

2^4 x 5^3 x 70289

Step-by-step explanation:

16 x 125 x 70289=140,578,000

Anyone can answer?? if u can thank u soooo much it means the world to me

Answers

Answer:

Tulips• 7, 14, 21, 28 and 35.

Carnations• 3, 6, 9, 12 and 15.

Other:

Find above the whole number ratio for the tulips and carnations graph. Brainliest? Thanks!

The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women with the following data: Men Women Sample mean 64.5 years 63.6 years Sample size 35 39 Population standard deviation 3.0 years 3.5 years If Population 1 is defined as men and Population 2 is defined as women, the 90% confidence interval for the difference in population means is (closest to) ________. Group of answer choices

Answers

Answer:

The 90% confidence interval is  [tex] -0.3433<  \mu_1 - \mu_2 < 2.1433[/tex]

Step-by-step explanation:

From the question we are told that

   The sample mean for men is  [tex]\= x_1 = 64.5 \ years[/tex]

    The sample mean for women is  [tex]\= x_2 = 63.6 \ years[/tex]

     The sample size for men  is   [tex]n_1 = 35[/tex]

      The sample size for women is  [tex]n_2 = 39[/tex]

      The standard deviation for men is [tex]s_1 = 3.0[/tex]

       The standard deviation for women is  [tex]s_2 = 3.5[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645 [/tex]

Generally the standard error is mathematically represented as

     [tex]SE = \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} }[/tex]

=>  [tex]SE = \sqrt{\frac{3^2 }{35} + \frac{3.5^2}{39} }[/tex]

=>  [tex]SE = 0.7558[/tex]

Generally the margin of error is mathematically represented as

       [tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

=>     [tex]E = 1.645 * 0.7558[/tex]

=>     [tex]E = 1.2433[/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex](\= x_1 - \= x_2) -E <  \mu_1 - \mu_2 <  (\= x_1 - \= x_2) -E [/tex]

=>    [tex](64.5 - 63.6) -1.2433<  \mu_1 - \mu_2 <(64.5 - 63.6) +1.2433[/tex]

=>    [tex] -0.3433<  \mu_1 - \mu_2 < 2.1433[/tex]

can someone help me with this

Answers

0.98
I hope this helps.

Answer:0.98

hope this helps have a good day

Step-by-step explanation:

I need the answer ASAP

Answers

Answer:

the are is 14

brainliest??

Step-by-step explanation:

Answer:

48ft

Step-by-step explanation:

Hope this helps. :)

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, determine the interval that would represent the middle 95% of IQ scores.

Answers

Answer:

About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .

Step-by-step explanation:

hope this helps

HELP PLEASE!!
What is Y

Answers

Did you see the SBA said JK element PQRS do you are you can you ask why are you now I wanna ABC BON BON

How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths

Answers

C. INTO SIXTHS

I LITRALLY JUST TOOK THE TEST ON EDGE. SO YOU CAN TAKE MY WORD FOR IT

I HOPE I WASNT TOO LATE. IF I WAS, SORRY

The number of grids or intervals on the given number line between any two consecutive whole numbers is six thus option (C) is correct.

What is a number line?

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

As per the given number line,

Since 1 is a whole number and 2 is also a whole number.

The number of intervals between 1 and 2 is 6.

Thus, between consecutive whole numbers divided on the number line is 6.

Hence "The number of grids or intervals on the given number line between any two consecutive whole numbers is six".

To learn more about the number line,

https://brainly.com/question/13189025

#SPJ2

convert 53 yards per hour into inches per day

Answers

1 yard = 36 inches.

53 yards per hour x 36 inches per yard = 1908 inches per hour.

1 day = 24 hours.

1908 inches per hour x 24 hours = 45,792 inches per day.

Can someone help with this Problem? It is about Evaluating expressions using properties of exponents. Would help a lot. Attachment below

Answers

9514 1404 393

Answer:

  1/192

Step-by-step explanation:

The properties of exponents useful here are ...

  a^0 = 1 . . . . for a ≠ 0

  a^-b = 1/a^b

__

  [tex]4^{-2}\cdot 12^{-1}\cdot 12^0=\dfrac{1}{4^2}\cdot\dfrac{1}{12}\cdot 1\\\\=\dfrac{1}{16\cdot12}=\boxed{\dfrac{1}{192}}[/tex]

Merry Christmas please help

Answers

-3,2,3,7

Happy holidays! Hope you have a great Christmas!

Answer:

All Of The Number At The Top

Step-by-step explanation:

Like Said, The Tables Functions f

So, Basically It's A Challenge,

All Of The Numbers In Row X From Above Table

I Hope You Found This Answer Helpful

Good Day

You'll Get 100% Don't Stress It✨

By: LocalLesMara

pweese help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

(4,8), m=5 need a step by step answer please

Answers

Answer:

8=4x+5

Step-by-step explanation:

Slope-intercept form: y=mx+b

1. Identify your terms:

x: 4

y:8

b/slope: 5

2. Solution:

8=4x+5

sophias car wash llc specializes in detaling cars. For a pick up truck, sophia charges 30 dollars she also charges a rate of 4 dollars per hour. if sophia charged you 42 dollars how many hours did it take for her to detail your truck

Answers

Answer:

3 Hours

Step-by-step explanation:

If we subtract 30 dollars from the initial 42, we are left with 12 dollars. Then all we have to do is do 12/4 to get 3 hours of work :D

Other Questions
PLZ HELP!!!!!WILL GIVE BRAINLY TO THE PERSON WHO HELP ME!!! HELP ME PLZ If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles? Choose the sentence below with the correct punctuation. *1 pointA puppy would be an even better gift. If I hear, Bark! Bark! from one of the boxes, I'llmelt with excitement.A puppy would be an even better gift. If I hear, "Bark! Bark!" from one of the boxes, I'llmelt with excitement.A puppy would be an even better gift. If I hear "Bark! Bark!" from one of the boxes, I'llmelt with excitement.A puppy would be an even better gift. "If I hear Bark! Bark! from one of the boxes, I'dmelt with excitement." match each fraction with the equivalent expressions plz help -2 divided by 10 10 divided by -21 divided by 5 5 divided by 1 so which on matches each one 5/1 -2/10 10/-2 1/5 Need help with my algebra 1 assignment. Help would be apprecitated. thanks so much! can you answer the b. thanks n order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? --> It must be Describe the history of computer in Nepal. Onomatopoeia is the repetition of consonant sounds in words.Question 2 options: True False Employee benefits(A) can be worth a great deal of money.(B) include the salary that an employee is paid.(C) should never be considered when trying to decide whether to accept a job.(D) all of these Which of these words is a conjunction?toherwithbut Identify the use of the italicized noun clause. I found what I was looking for in my purse. subject complement Solve algebraically for x: 3600 + 1.02x < 2000 + 1.04x what did patriots capture at this battle? Its abt the christmas gamble please help! convert y+1= 6/11(x+11) to slope-intercept Whats the answer to -6(12p - 8n) in distributive Property? HELP ASAP DUE IN 5 MINUTES WILL GIVE BRAINLIESTEnergy is conserved within a system, meaning that forms of energy are either transferred or transformed as they interact with objects. Which of the statements below correctly describe how energy is transferred or transformed in daily life?Group of answer choicesKinetic energy transforms into thermal energy when a heating pad is turned on.Electrical energy is transferred into light energy so that a flashlight generates light when its turned on.Chemical energy in food is transformed into mechanical energy as our body rides a bicycle down the street.Nuclear energy is transferred to electrical energy to provide electricity for our homes. B. The mass of the sugar and water is greater than the mass of the sugalC. The mass of the sugar solution is greater than the mass of the sugar and water.D. We do not have enough information to determine anything about the mass of the sugar, water, or thesugar solution.8. When combined in the correct ratio, hydrogen and oxygen atoms can form water as show below.+HydrogenOxygenWaterthis example, water is an example of which of the following? In this soccer season Emma has scored one more than twice the number of Nikki's goals if Emma has scored 15 goals which equation can be used to find X number of goals PLEASEEE ANSWERRRR RI GHT NOWWWITS DUE AT 10:00 Underline and identify the figure of speech below I have given you directions to my house one million times