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r-ruslan [8.4K]
3 years ago
15

Two random samples were drawn from two employers to obtain information about hourly wages. Use the following information and the

PopMeanDiff template to determine if there is a significant difference in wages across the two employers.
Kroger Wal-Mart
Sample size 80 60
Sample mean $6.75 $6.25
Population standard deviation $1.00 $0.95

The p-value is _____.

a. 0.0026
b. 0.0013
c. 0.0084
d. 0.0042
Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer:

a) 0.0026

P- value is <em>0.0026</em>

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given data

first sample size n₁= 80

mean of the first sample  x⁻₁= $6.75

Standard deviation of the first sample   (σ₁) = $1.00

second sample size (n₂) = 60

mean of the second sample( x₂⁻) = $6.25

Standard deviation of the second sample (σ₂) = $0.95

<u><em>step(ii):-</em></u>

<em>Test statistic </em>

Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{(S.D)_{1} ^{2} }{n_{1} } +\frac{(S.D)_{2} ^{2} }{n_{2} } } }  

<em>   </em><u><em>Null Hypothesis :H₀</em></u><em>: There is no significant difference in wages across the two employers.</em>

<em> x⁻₁= x₂⁻</em>

<em>Alternative Hypothesis :H₁: There is significant difference in wages across the two employers.</em>

<em>x⁻₁≠ x₂⁻</em>

<em></em>

<em></em>Z = \frac{6.75 -6.25 }{\sqrt{\frac{(1^{2}  }{80 } +\frac{((0.95)^{2}  }{60} } }<em></em>

<em>Z = 3.01</em>

<u><em>P- value:-</em></u>

Given data is two tailed test

The test statistic Z = 3.01

First we have to find the Probability of z-statistic

<em>P(Z>3.01) =  1- P( z <3.01)</em>

<em>                  = 1- (0.5 + A(3.01)</em>

<em>                 = 0.5 - A(3.01)</em>

<em>              =    0.5 - 0.49865   ( from normal table)</em>

<em>              = 0.0013</em>

<em>P(Z>3.125) = 0.0013</em>

<em>Given two tailed test </em>

<em>    P- value = 2 × P( Z > 3.01)</em>

<em>                  = 2 × 0.0013</em>

<em>                 = 0.0026</em>

<u><em>Final answer</em></u><em>:-</em>

<em>The calculated value Z = 3.125 > 1.96 at 0.05 level of significance</em>

<em>null hypothesis is rejected</em>

<u><em>Conclusion:-</em></u>

P- value is <em>0.0026</em>

               

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After a storm, 135 trees out of 180 were left standing. What is the percentage loss of the number of trees?
beks73 [17]

Answer:

Percentage loss of the number of trees is 25\%.

Step-by-step explanation:

Given: After a storm, 135 trees out of 180 were left standing.

To find: What is the percentage loss of the number of trees?

Solution:

We have,

Total number of trees =180

Number of trees left standing =135

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6 0
3 years ago
PLZ HELP, AND PLZ EXPLAIN
shutvik [7]

Answer:

C

Step-by-step explanation:

To make it easy let's start by organizing our information :

  • AC=12 AND BD=8
  • ABCD is a rhombus
  • K and L are the midpoints of sides AD and CD
  • we notice that the rhombus ABCD is divided into four right triangles

What do you think of when you hear a right triangle ?

  • The pythagorian theorem !

AC and BD  are khown so let's focus on them .

If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?

Simply because they are the diagonals of a rhombus .

ow let's apply the pythagorian theorem :

  • (AC/2)² + (BD/2)² = BC²
  • 6²+4²=52
  • BC²= 52⇒\sqrt{52}=BC

Now we khow that : AB=BC=CD=AD=\sqrt{52}

This isn't enough . Let's try to figure out a way to calculate the length of KL  wich is the base of the triangle

  • KL is parallel to AC
  • k is the midpoint of AD and L of DC

I smell something . yes! Thales theorem

  • KL/AC=DL/DC=DK/AD WE4LL TAKE OLY ONE
  • KL/12=\sqrt{52}/2*\sqrt{52}  
  • KL/12=1/2⇒ KL=6

Now we have the length of the base kl

Now the big boss the height :

  • notice that you khow the length of KL
  • BD crosses kl from its midpoint and DL = \sqrt{52} /2

What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D

  • DL²=(KL/2)²+D²
  • 52/4= 9+ D²
  • D² = 52/4-9 +4 SO D=2

now the height of the trigle is H= BD-D= 8-2=6

NOw the area of the triangle is :

  • A=(KL*H)/2 ⇒ A= (6*6)/2=18

THE ANSWER IS 18 SQ.UN

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Hiya.
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Answer:

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