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Vikentia [17]
2 years ago
5

Brittany surveyed the students in three different Chemistry classes regarding the average number of hours of sleep they get each

night. She calculated the mean and standard deviation, SD, of the data and recorded the results in the table below.
Class A
Mean = 7.35
SD = 2.92

Class B
Mean = 6.87
SD = 3.65

Class C
Mean = 8.14
SD = 3.10
Use the information provided to complete the following statement.

Class ( A, B, C) shows the most consistency in the number of hours slept per night because the(standard deviation, mean) is the (highest, lowest).
Mathematics
2 answers:
Otrada [13]2 years ago
7 0

Answer:

Class A shows the most consistency in the number of hours slept per night because the standard deviation is the lowest.

Step-by-step explanation:

The standard deviation of a set measures how close the measures of this set are, that is, how consistent they are.

The lesser the standard deviation is, the higher the consistency is.

In this problem, we have that:

Class A has the lowest standard deviation.

So:

Class A shows the most consistency in the number of hours slept per night because the standard deviation is the lowest.

aalyn [17]2 years ago
6 0
Class B has the most consistant sleep because there is less of a difference between 6.87 and 3.65 than the other classes.
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Step-by-step explanation:

<u><em>Step(i)</em></u>:-

a)

Given data the  researchers left a total of 320 wallets around Edinburgh, as though the wallets were lost. Each contained contact information including an address. Of the wallets, 146 were returned by the people who found them

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<em>Sample proportion </em>

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<u><em>Step(ii)</em></u>:-

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Level of significance = 95% or 0.05%

Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96

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<em></em>(p - Z_{0.025} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p + Z_{0.025} \frac{\sqrt{p(1-p)} }{\sqrt{n} })<em></em>

<em></em>(0.45625 - 1.96\frac{\sqrt{0.45625(1-0.45625)} }{\sqrt{320} } , 0.45625 + 1.96\frac{\sqrt{0.45625(1-0.45625)} }{\sqrt{320} })<em></em>

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<em>c) The lower bound of the 95% confidence interval = 0.40168</em>

<em>d) The upper bound of the 95% confidence interval = 0.51082</em>

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