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mestny [16]
3 years ago
9

PLEASE HELP!!!

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

people cant read that

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5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g
anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

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

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

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

Mean =\displaystyle\frac{1117}{10} = 111.7

Sum of squares of differences = 642.1

S.D = \sqrt{\frac{642.1}{49}} = 8.44

We are given the following in the question:  

Population mean, μ = 106

Sample mean, \bar{x} = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

H_{0}: \mu = 106\\H_A: \mu > 106

We use one-tailed(right) t test to perform this hypothesis.

Formula:

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

Putting all the values, we have

t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135

Now,

t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833

Since,                  

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0
3 years ago
Negative X over 4 minus 6 is greater to or equal to -8
stiv31 [10]

Answer:


Step-by-step explanation:

-x/4 - 6 ≥ -8.

What was the end goal of this problem?

5 0
3 years ago
Cual es el denominador de 7/8
mash [69]

Answer:

8 u ocho

¡Espero que ayude!

Step-by-step explanation:

6 0
3 years ago
For each of the geometric sequences, determine the common ratio.<br> Sequence A has common ratio
klemol [59]

Answer:

4

Step-by-step explanation:

I did it

7 0
3 years ago
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Which face has an area of 28 cm
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Answer:

trapezium?

Step-by-step explanation:

6 0
3 years ago
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