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gizmo_the_mogwai [7]
3 years ago
5

On his way to work, a man notices that 9 of the 16 traffic lights are green. Is there statistical significance to say that these

traffic lights are programmed to allow ease of travel?
Yes, because the results are unlikely to occur by chance.
Yes, because the man encountered a high number of green traffic lights.
No, because the man didn't encounter enough traffic lights on this trip for a valid sample size.
No, because the results are likely to occur by chance.
Mathematics
2 answers:
olasank [31]3 years ago
6 0
Yes because the results are unlikely to occur by chance, is what I think .
jonny [76]3 years ago
6 0

Answer:

The answer is No, the results are likely to occur by chance.

Step-by-step explanation:

On his way to work, a man notices that 9 of the 16 traffic lights are green. Is there statistical significance to say that these traffic lights are programmed to allow ease of travel:

<em>The answer is No, because the results are likely to occur by chance.</em>

As the number of green and non-green lights are approximately the same so we can't judge anything regarding the ease to travel.

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To study the output of a machine that fills boxes with cereal, a quality control engineer weighed 150 boxes of Brand X cereal. T
scoundrel [369]

Answer:

\sigma = 0.07770

Step-by-step explanation:

Given

The above table

Required

The standard deviation

First, calculate the class mid-point. This is the average of the class interval.

The mid-point x is:

x_1 = \frac{1}{2}(15.3 + 15.6) =\frac{1}{2} * 30.9 = 15.45

x_2 = \frac{1}{2}(15.6 + 15.9) =\frac{1}{2} * 31.5 = 15.75

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x_4 = \frac{1}{2}(16.2 + 16.5) =\frac{1}{2} * 32.7 = 16.35

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So, we have:

\begin{array}{cccccc}x & {15.45} & {15.75} & {16.05} & {16.35} & {16.65} \ \\ f & {14} & {25} & {84} & {18} & {9} \ \end{array}

Calculate mean

\bar x = \frac{\sum fx}{\sum f}

\bar x = \frac{15.45 * 14 + 15.75 * 25 + 16.05 * 84 + 16.35 * 18 + 16.65 * 9}{14 + 25 + 84 + 18 + 9}

\bar x = \frac{2402.4}{150}

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\sigma = \sqrt{\frac{\sum(x_i - \bar x)^2}{\sum f}}

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\sigma = \sqrt{\frac{0.90578}{150}}

\sigma = \sqrt{0.00603853333}

\sigma = 0.07770

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2 years ago
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