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yan [13]
3 years ago
6

A sample of 31 observations is selected from a normal population. The sample mean is 69, and the population standard deviation i

s 8. Conduct the following test of hypothesis using the 0.01 significance level.
H0: μ = 72
H1: μ ≠ 72
a. Is this a one- or two-tailed test?
b. What is the decision rule?
c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
d. What is your decision regarding H0?
Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

the answer is 73

Step-by-step explanation:

H0: μ = 72

H1: μ ≠ 72

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A(x + b) = c <br>make x the subject​
Katarina [22]

Answer:

Th answer is x = (c - ab) / a

Step-by-step explanation:

The steps are :

a(x + b) = c

ax + ab = c

ax = c - ab

x = (c - ab) / a

6 0
3 years ago
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A chain 27 feet long whose weight is 95 pounds is hanging over the edge of a tall building and does not touch the ground. How mu
bazaltina [42]

Answer:

Work done = 2,565 lb-ft

Step-by-step explanation:

The density of the chain in lb/ft  is equal to

\frac{95}{27} lb/ft

Total Work done is equal to the summation of  work done up to the top of building.

We will use integration for this evaluation.

The mathematical relation is as follows

\int\limits^{40}_0 {X} \, pdx

where "p" is the density

Substituting the given values, we get

\frac{95}{27} \int\limits^{27}_0 {X} \, dx\\\frac{95}{27}  X^2\int\limits^{27}_0\\ \frac{95}{27}  {27^2 - 0^2}\\\frac{95}{27}  * 27 * 27\\95* 27\\= 2,565

Work done = 2,565 lb-ft

6 0
3 years ago
HELP PLEASE. Two points are 17 units apart on a number line. The coordinate of one point is -20.
cluponka [151]

Answer: -37 & -3

Step-by-step explanation:

-20-17= -37

-20+17= -3

5 0
3 years ago
The value of -7 + 24 ÷ (-3)(2) is _____.<br><br> -11<br> -23<br> 11<br> 23
Naddika [18.5K]

Answer:

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8 0
4 years ago
Use the quadratic formula to solve the equation.<br> x2 + 7x – 4= 0
larisa [96]

Answer:

Well.

                      \       /

               <em> 2 solutions </em>

           x =(-7-√65)/2=-7.531

<em>           x =(-7+√65)/2= 0.531</em>

                    /           \

Using the quadratic formula..

 2.3     Solving    x2+7x-4 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

 - B  ±  √ B2-4AC

 x =   ————————

 2A

In our case,  A   =     1

                 B   =    7

              C   =   -4

Accordingly,  B2  -  4AC   =

              49 - (-16) =

        65

Applying the quadratic formula :

 -7 ± √ 65

  x  =    —————

         2

√ 65   , rounded to 4 decimal digits, is   8.0623

So now we are looking at:

         x  =  ( -7 ±  8.062 ) / 2

<em>                     </em><em>       \      /</em>

          <em>       Two real solutions:</em>

<em>                  x =(-7+√65)/2= 0.531</em>

<em>                        or:</em>

<em>                  x =(-7-√65)/2=-7.531</em>

                          \        /

*eliza*

8 0
3 years ago
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