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sladkih [1.3K]
3 years ago
12

Point B on the number line shows Benny's score after the first round of a quiz: A number line is shown from negative 10 to 0 to

positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point B is shown on 2. In round two, he lost 6 points. Which expression shows how many total points he has at the end of round two?
A) 2 + 4 = −6, because −6 is 4 units to the left of 2
B) 2 + (−4) = −6, because −6 is 4 units to the left of 2
C)2 + 6 = −4, because −4 is 6 units to the left of 2
D)2 + (−6) = −4, because −4 is 6 units to the left of 2
Mathematics
1 answer:
Neko [114]3 years ago
7 0
D. <span>2 + (−6) = −4, because −4 is 6 units to the left of 2</span>
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Complete Question

The complete question is shown on the first uploaded image

Answer:

a

Yes the researcher can  conclude that the supplement has a significant effect on cognitive skill

b

d =  0.5778

c

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Step-by-step explanation:

From the question we are told that

  The sample size is  n=16

    The sample mean is  M  =  50.2

    The standard deviation is \sigma  = 9

    The  population mean is  \mu =  45

     The level of significance is  \alpha =  0.05

The null hypothesis is H_o  \mu =45

The alternative hypothesis is H_a  \mu \ne 45

Generally the test statistics is mathematically represented as

          z =  \frac{M -  \mu}{\frac{\sigma}{\sqrt{n} } }

=>       z =  \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }

=>       z =  2.31

Generally the p-value is mathematically represented as

     p-value  =  2 *  P(Z >  z )

      p-value  =  2 *  P(Z >  2.31 )

From the z-table  

      P(Z >  2.31 ) = 0.010444

=>     p-value  =  2 *  0.010444

=>     p-value  =  0.021

From the obtained values we see that p-value <  0.05

 Decision Rule

 Reject the null hypothesis

Conclusion

There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults

Generally the Cohen's d for this study is mathematically represented as

    d =  \frac{M  -  \mu}{\sigma }

=>  d =  \frac{50.2 -45}{9 }

=>  d =  0.5778

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