We are performing a one-sample z-test about mean. The sample size is 64, the sample mean 56.7, the sample standard deviation is 30, and the testing mean is 60. What is the value of the test statistic?

Answers

Answer 1

Answer:

-0.880

Step-by-step explanation:

Mean X = 56.7

Sd = 30

N = sample size = 64

Null hypothesis:

H0:u = 60

Alternative hypothesis:

H1:u not equal to 60

This corresponds to a 2 tailed test. So we will have to use a z test with 1 mean, known population and standard deviation

Level of significance = 0.05

Z critical value = 1.96

The test statistic

Z = X - u/sd/√n

= 56.7 - 60/30√64

= -0.880

The test statistic is equal to -0.880


Related Questions

true or false 7b + 14bc = 5

Answers

Answer: False

Step-by-step explanation:

Hey there! 7b + 14b = 5 would equal 21b + 5 after you add 7b + 14b.

21b = 5 is false because it doesn't match with 5.

If the answer was true then it would be 5 = 5.

~I hope I helped :)~

What should the following equation be multiplied by in order to eliminate the fractions? x/3+x/6=11/9

Answers

Answer:

Multiply by 18

Step-by-step explanation:

Given

[tex]\frac{x}{3} + \frac{x}{6} = \frac{11}{9}[/tex]

Required

Eliminate the fraction

To eliminate the fraction, we first determine the LCM of the denominators (3, 6 and 9)

This is show below:

List out the multiplies of 3, 6 and 9

[tex]3 = 3,6,9,12,15,18,21,24,27,30...[/tex]

[tex]6 = 6,12,18,24,30...[/tex]

[tex]9 = 9,18,27...[/tex]

The least common multiple is 18.

Hence, when both sides of the equation is multiplied by 18, the fraction is eliminated;

See proof

[tex]18 * (\frac{x}{3} + \frac{x}{6}) = \frac{11}{9} * 18[/tex]

[tex]\frac{18x}{3} + \frac{18x}{6} = \frac{11*18}{9}[/tex]

[tex]6x + 3x = 11 * 2[/tex]

[tex]6x + 3x = 22[/tex]

The fraction is eliminated

Question
20 pts
There are 600 6th grade students who attend Falcon Cove Middle School. 17% of them
believe that Mr. Too Much should be fired for being the silliest teacher they have ever known.
How many 6th graders at Falcon Cove believe Mr. Too Much should be fired?
6th graders at Falcon Cove believe Mr. Too Much should be fired.
Question 2
20 pt

Answers

Answer:

u can ask the tutor and he or she will help u in real time and explain

Could I get help with this?

Answers

Answer:

x int= -4 y int= 1

Step-by-step explanation:

intercepts refer to the place on the each axis where the line passes through

Given the graph that is shown. What is the range of the function?

Answers

Answer:

B

Step-by-step explanation:

Range is Y and the point is -4 to 2

Is there anyone here who does Calvert or Odessy?

I was quite behind on my assignments, and, somehow, I go to catch up and they've been completed or something. It says I'm 100% on pace, and I know for a fact that I wasn't. What happened?

Answers

what happen is there is a glitch probably

yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.

Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°
.

Answers

Answer:

The sum of all the external angles of a triangle is 360°.

Step-by-step explanation:

Let there are n sides in a polygon.

So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.

The measure of external angle corresponding to ∠i1,  ∠1= 180°-∠i1,

The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,

Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3  and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

                 =540°=180°

                 =360°.

Hence, the sum of all the external angles of a triangle is 360°.

A store owner recorded the number of tickets sold each hour. The graph shows some of the store owner's data. What is the slope of
the line shown?

A) 1

B) 2

C) 4

D)1/2

Answers

G where is the slope no photo no answer

In the figure, BE||CD, B is the midpoint of AC, and E is the midpoint of AD

Answers

Answer:

A. 8

Step-by-step explanation:

BE = ½(CD) (midsegment theorem)

BE = 2x - 10

CD = 12

Plug in the values

2x - 10 = ½(12)

2x - 10 = 6

Add 10 to both sides

2x - 10 + 10 = 6 + 10 (addition property of equality)

2x = 16 (addition property of equality)

Divide both sides by 2

2x/2 = 16/2

x = 8 (division property of equality)

What are the missing angles?

Answers

1. 51
2. 34
3. 95
4. 38
5. 47
6. 74
7. 59

I hope this helps!!

Number 1
In the relation, what is the domain?
I
In the relation, what is the range?

Answers

Answer:

Step-by-step explanation:

D(x)= (-1, -1\2, 3/2, 2)

A domain is any X value in an array of ordered pairs

write a word problem for 8x - 5 = 40

Answers

Answer:

Bob only has 40 dollars but he wants to buy a membership at the gym. It cost 8 dollars per month to receive a gym card. Bob went to the Gym in person so they gave him a 5 dollar off coupon. How many months can Bob buy?

Step-by-step explanation:

Answer:

eight and a variable subtracted by five equals forty

Step-by-step explanation:

A 215​-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.

Answers

Answer:

I think the answer is 53.75 inches

HELP PLEASE!!! Math question

Answers

Answer:

(a). [tex]\frac{3}{7}[/tex]

(b). [tex]\frac{4}{13}[/tex]

Step-by-step explanation:

(a). Odds in favor of winning a new T.V. = [tex]\frac{4}{7}[/tex]

    Or probability of not winning a new T.V. = [tex]\frac{4}{7}[/tex]

    Since, Probability to win a T.V. + Probability of not winning the new T.V. = 1

    Probability of winning a new T.V. = 1 - Probability of not winning a new T.V.

                                                            = 1 - [tex]\frac{4}{7}[/tex]

                                                            = [tex]\frac{7-4}{7}[/tex]

                                                            = [tex]\frac{3}{7}[/tex]

(b). Probability of winning the match + probability of not winning the match = 1

     [tex]\frac{9}{13}[/tex] + Probability of not winning the match = 1

     Probability of not winning the match = 1 - [tex]\frac{9}{13}[/tex]

                                                                   = [tex]\frac{13-9}{13}[/tex]      

                                                                   = [tex]\frac{4}{13}[/tex]

Which number line shows the correct placement of 20%, 1/3
and 2/3?

Answers

Answer:

the answer is option A why because its basiclly telling us that 1/3 and 2/3 are close to each other and they need to find the percent on how to get to the whole number in this case is 1

Step-by-step explanation:

Answer  A you welcome

Please help me with this

Answers

Answer:

6.7

Step-by-step explanation:

11. In a swimming race, Yvonne swam 0.18 mile.
David swam 4 times as far as Yvonne. How far
did David swim?
(A) 2.2 miles
B
0.22 mile
C.7.2 miles
D
0.72 mile

Answers

Answer: D= 0.72

Step-by-step explanation: Because 0.18 times 4 is 0.72 miles.

Answer:

D. 0.72 miles

Step-by-step explanation:

Since David swam 4 times as far is Yvonne, he swam 4 times more than 0.18.  0.18 times 4 is 0.72.  If you want/need to do it in your head, just imagine 0.18 as 18, and that multiplied by 4 is 72.  then move the decimal point back over before the 7, to get your answer.  

Two of the other choices are clearly wrong because the actual answer is way less than the other choices (except for B).  One way to quickly figure out which two (or sometimes three) are wrong is by rounding 0.18 up to 0.2.  You can try this quickly because 0.2 is barely bigger than 0.18, and 0.2 is easy to multiply by 4.  The answer you would get from multiplying 0.2 is not exactly correct, but gives you a general idea.

getting bored.Is there anyone???​

Answers

Answer:

yes very much so

Step-by-step explanation:

yes I don't know why but I am really and truly

Answer:

WOW yRRRRRR

Step-by-step explanation:

Calculate the paychecks of the following people. Select the total hours and paycheck.

Answers

Answer:

If the numbers under the days of the week are the hours worked then the answers are Sue-40,$6.75,$270 Jerry-30,$5.15,154.5  Sam-38.75,$8.75,339 Step-by-step explanation:

Just add up the number of hours worked and multiply by the rate.

Use numerals instead of words.

The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left.

If there were 75 cards in all, how many cards are left to be signed?

There are
cards yet to be signed.

Answers

Answer:

25 because is the steep between card

Answer:

32

I hope this helps

a group of 5 friends goes to a show. Each ticket cost $9, and the friends share a popcorn that cost $6. Which shows the total cost

Answers

Answer:

The total cost is $51

Step-by-step explanation:

The answer is 51 because 5 times 9 is 45 and 45 plus 6 is 51

.

Answer:

the total cost is $51.00 dollars

Solve the system for X:
y=3x +4
у=х+8 x +10

Answers

Answer: The answers are x=y/3–4/3, and x=y/9–10/9.

Step-by-step explanation: You’ll need to isolate the variable by dividing each side by factors that don't contain the variable.

Find the coordinates of the midpoint of a segment with endpoints A(-3,7) and B(8,-2)

Answers

Answer:

the midpoint is (2.5, 2.5)

5x+2(x+6)

A.7x+6

B.7x^2+12

C.7x+12

D.7x(x+6)

Answers

C. 7x+12 is the correct answer

Use the order of operations to simplify the following expression.
16+(14-6)x3-62-6
O 18
O None of the other answers are correct
O 78
0 34
O 12

Answers

none of the answers are correct it’s -28
I got -28, so I’m guessing it’s none of the other are are correct.

Determine whether the function g(x)= -x +2 is increasing or decreasing.​

Answers

Answer:

its decreasing :) the person above me is correcto

The following histogram shows the height of basketball players what would be the best estimate of average height ?


A. 75in
B. 82in
C. 85in
D. 80in

Answers

Answer:

D

Step-by-step explanation:

007
0.3
X
How to multiply .007 by 0.3?

Answers

Answer:

0.0021

Step-by-step explanation:

0.007 x 0.3= 0.0021

.007
X 0. 3
—————
Multiple
7x3 since the other are 0
You get 21 then add the 0
Your answer will be 0.0021

PLEASE HELP!! Algebra 2

Answers

Answer:

No

Edit:

Yes, based on original equation. (Credit to greenpumpkin for correction)

Step-by-step explanation:

For this problem, we simply need to find the values of x that can make the equation true.  So, let's begin by isolating the "x" variable.

sqrt(2x + 13) = x + 5

[sqrt(2x + 13)]^2 = (x + 5)^2

2x + 13 = x^2 + 10x + 25

0 = x^2 + 8x + 12

Note, we can remove the sqrt method by squaring both sides of the equation.  Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.

[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a

Let a = 1, b = 8, and c = 12

[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)

= [-8 +/- sqrt( 64 - 48 ) ] / 2

= [-8 +/- sqrt(16) ] / 2

= [ -8 +/- 4 ] / 2

So, x = [ -8 + 4 ] / 2  and x = [-8 - 4 ] / 2

x = [-4] / 2 = -2  and x = [-12] / 2 = -6

Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.

Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.

Cheers.

----------------------------------------------------

Edit:

Plugging the value of -6 back into the original equation, we get the following:

sqrt(2x + 13) = x + 5

sqrt(2(-6) + 13) = (-6) + 5

sqrt (1) = -1

1 != -1

Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)

What is 3(2+q)+15 simplified

Answers

Answer:

The Answer should be....

3q + 21

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