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2 years ago

What’s the answer and explain it please -

Mathematics

2 answers:

MariettaO [177]2 years ago

7 0

Answer:

2.6

Step-by-step explanation:

The Mean Absolute Deviation (MAD) is the average amount that each point is from the overall average of the data set.

So, first find the overall average (also called the mean):

avg = (1 + 1 + 2 + 3 + 5 + 7 + 9) / 7

= 28 / 7

= 4

The average (mean) is 4, so now you calculate how far each point is from 4 and average those numbers:

Note: Remember to use absolute values, since distance can't be negative.

4 - 1 = 3

4 - 2 = 2

4 - 3 = 1

4 - 5 = |-1| = 1

4 - 7 = |-3| = 3

4 - 9 = |-5| = 5

And finally, average (or find the mean) the new data set:

avg = (1 + 1 + 2 + 3 + 3 + 3 + 5) / 7

so 18 / 7 is the MAD of the data set.

Finally, round it to the nearest tenth:

18 ÷ 7 = 2.57142857143 ≈ 2.6

Nonamiya [84]2 years ago

5 0

Answer:

2.6

Step-by-step explanation:

average (or find the mean) the new data set:

avg = (1 + 1 + 2 + 3 + 3 + 3 + 5) / 7

so 18 / 7 is the MAD of the data set.

Finally, round it to the nearest tenth:

18 ÷ 7 = 2.57142857143 ≈ 2.6

hope this helps

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An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption for microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean power consumption for ovens = 257.3 W

σ = population standard deviation = 15 W

n = sample of microwave ovens = 20

So, the test statistics = $\frac{257.3-250}{\frac{15}{\sqrt{20} } }$

= 2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

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3 years ago

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