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LenaWriter [7]
2 years ago
5

Jan has 10 reports to file. If each report takes an average of 75 minutes. to file, how long will it take to file 70% of them?

Mathematics
2 answers:
lora16 [44]2 years ago
6 0

10 × 75 = 750 minutes to file 100% of the files. (Approximately 12.5 hours)

\frac{70}{100} = 0.7

70% of these files = 750 × 0.7 = 525 minutes.

Converting 525 minutes into hours, Jan would to take 8.75 hours to file 70% of the files.


Alborosie2 years ago
4 0

Answer:  It will take<u><em> 525 minutes</em></u> to file 70% reports.

Step-by-step explanation:

Average Time taken to file each report , t_1=75\, minutes

Therefore time taken to file 10 reports , t_{10}=10\times t_1

=>t_{10}=10\times 75\, minutes=750\, minutes

To file 70 % reports time taken, T=\frac{70}{100}\times t_{10}=\frac{70}{100}\times 750 \, minutes

=>T = 525 minutes

Thus it will take<u><em> 525 minutes</em></u> to file 70% reports.

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A researcher records the amount of time (in minutes) that parent child pairs spend on social networking sites to test whether th
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A statistical experiment is performed to determine whether the amount of time (in minutes) that parent-child pairs spend on social networking sites to test show any generational differences.

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MD = -42 minutes

t₍₂₉₎ = 4.021

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d = 0.49

The hypothesis is:

<em>H₀</em>: There is no difference between the means, i.e. <em>μ₁</em> = <em>μ₂</em>.

<em>Hₐ</em>: There is a significant difference between the means, i.e. <em>μ₁</em> ≠ <em>μ₂</em>.

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A matched pair design is used to perform the test.

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In this case the matched are pairs are of children and their parents. And the treatment is the amount of time spent on social networking sites.

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The degrees of freedom of a matched pair design is:

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Thus, each sample is of size 30.

(c)

The <em>p</em>-value of the test statistic is < 0.05.

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Since <em>p</em> < 0.05 the null hypothesis is rejected concluding that there is a significant difference between the amount of time spent on social networking sites by parents and children.

(d)

The estimated value of Cohen's d is, <em>d</em> = 0.49.

A Cohen's d value between the range 0.50 to 0.80 is considered as medium.

Thus, the effect size of the test is medium.

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