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cluponka [151]
3 years ago
15

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 50 provided a sample mean of 19.4. The population stand

ard deviation is 2. a. Compute the value of the test statistic (to 2 decimals). If your answer is negative, use minus "-" sign b. What is the p-value (to 3 decimals)
Mathematics
1 answer:
goblinko [34]3 years ago
8 0

Answer: p-value is 0.016.

Step-by-step explanation:

Since we have given that

H_0:\mu=20\\\\H_a:\mu

Sample mean = 19.4

Sample size n = 50

Standard deviation = 2

We need to find the test statistic value which is given by

z=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\\\z=\dfrac{19.4-20}{\dfrac{2}{\sqrt{50}}}\\\\\\z=\dfrac{-0.6}{0.28}\\\\z=-2.14

p-value is given by

P(Z>Z_{critical})\\\\=P(Z>-2.14)\\\\=0.016

Hence, p-value is 0.016.

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Which conversion on the metric table need division
vladimir1956 [14]
If you are going from a larger unit to a smaller unit, you multiply. If you are going from a smaller unit, you divide
5 0
3 years ago
Lines b and c are parallel what is the measure of angle 6?
elena-s [515]

Answer:

54 degrees

Step-by-step explanation:

If these two lines are parallel, than angles 1 and 7 are supplementary.

13x+9+5x+9=180

18x+18=180

x+1=10

x=9

Angle 6 and 7 are vertical angles, so they are equal. Therefore, angle 6 is:

5x+9=5(9)+9=54

Hope this helps!!

3 0
3 years ago
How many cylindrical can of bottles 12 cm high and with 6 cm diameter could be filled from a tank containing 125 liters of deter
Orlov [11]

Answer:

368 cans.

Step-by-step explanation:

Volume of 1 can = π r^2 h.

Here h (height) = 12 and r (radius) = 1/2 * 6 = 3 cm.

So V =  π * 3^2 * 12

= 108π cm^3.

The tank hold 125 liters

=  125,000 cm^3, so:

Number of cans that could be filled = 125000/ 108 π

= 368.4.

4 0
3 years ago
Read 2 more answers
Which of these sets of angle measures could be the three angles in a triangle?
Lady_Fox [76]

Answer:

Okay so this is simple addition, once you know how to do it. 

The interior angles of a triangle should always add up to 180 Degrees. 

Now that you know this, all you have to do is add the numbers together and see which ones add up to 180 degrees. 

A. - 90+42+58=190

B. - 60+60+60=180

C. - 100+48+42=190

D. - 31+75+70=176

Out of these choices the only one that adds up to 180 is B. So your answer would be B. 

Read more on Brainly.com - brainly.com/question/2547568#readmore

Step-by-step explanation:

7 0
3 years ago
Help me please. <br>Help me please. <br>Help me please.
Gnesinka [82]
A)
To be similar triangles have to have equal angles
triangle ZDB' 
1)angle Z=90 degrees
triangle B'CQ
1) angle C 90 degrees

angle A'B'Q=90
DB'Z+A'B'Q+CB'Q=180, straight angle
DB'Z+90+CB'Q=180
DB'Z+CB'Q=90

triangle ZDB'
DZB'+DB'Z=180-90=90

DB'Z+CB'Q=90
DZB'+DB'Z=90
DB'Z+CB'Q=DZB'+DB'Z
2)CB'Q=DZB' (these angles from two triangles ZDB' and B'CQ )
3)so,angles DB'Z and B'QC are going to be equal because of sum of three angles in triangles =180 degrees and 2 angles already equal.
so this triangles are similar by tree angles
b)
B'C:B'D=3:4
B'D:DZ=3:2
CQ-?
DC=AB=21
DC=B'C+B'D (3+4= 7 parts)
21/7=3
B'C=3*3=9
B'D=3*4=12
B'D:DZ=3:2
12:DZ=3:2
DZ=12*2/3=8
B'D:DZ=CQ:B'C
3:2=CQ:9
CQ=3*9/2=27/2

c)
BC=BQ+QC=B'Q+QC
BQ' can be found by pythagorean theorem



3 0
3 years ago
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