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insens350 [35]
3 years ago
14

What is the slope-intercept equation of the line below? y-intercept= (0, 3) slope = -6/5

Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0

Step-by-step explanation:

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. We know that m = -6/5 and b = 3. When we plug these values in, we get y = -6/5 x + 3. Hope this helps!

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Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research
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The complete question is shown on the first uploaded image

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a

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

b

d =  0.5778

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The result of this hypothesis test shows that there is sufficient evidence to  that the supplement had significant effect.The measure of effect size is  large due to the large value of Cohen's d (0.5778 > 0.30 )

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} } }

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Generally the p-value is mathematically represented as

     p-value  =  2 *  P(Z >  z )

      p-value  =  2 *  P(Z >  2.31 )

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      P(Z >  2.31 ) = 0.010444

=>     p-value  =  2 *  0.010444

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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

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=>  d =  \frac{50.2 -45}{9 }

=>  d =  0.5778

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