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lutik1710 [3]
3 years ago
5

PLEASE HELP AS SOON AS POSSIBLE THANK YOU!!

Mathematics
1 answer:
nataly862011 [7]3 years ago
7 0

Answer:

We know that when x= -10, y= -17.

So, if we put those into direct variation "y=kx", we get

-17= k(-10)

k   = -17 / -10

Now we put the value of "k" into the formula and we get A (y= 17/10x )

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Use the null hypothesis H0 : μ = 98.6, alternative hypothesis Ha: μ < 98.6, and level of significance α = 0.05. 98 99.6 97.8
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Answer:

The t-score is -1.8432    

Step-by-step explanation:

We are given the following in the question:  

98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

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Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1964.4}{20} = 98.22

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s = \sqrt{\dfrac{16.152}{49}} = 0.922

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Sample mean, \bar{x} = 98.22

Sample size, n = 20

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Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

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t_{stat} = \displaystyle\frac{98.22 - 98.6}{\frac{0.922}{\sqrt{20}} } = -1.8432

The t-score is -1.8432    

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