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almond37 [142]
3 years ago
10

The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fracti

on of employees answered less than of their incoming calls before the second ring?

Mathematics
1 answer:
Sonja [21]3 years ago
4 0

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6.

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A random sample of 16 statistics examinations was taken. The average sample score was 76.2 with a sample variance of 144. The 99
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99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

<h3>What is the margin of error in statistics?</h3>

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

The interval will be calculated as below:-

Confidence interval = mean +/- margin of error (E)

mean = 76.2

variance = 144

sd = sqrt(variance) = sqrt(144) = 12

n = 16

Degree of freedom (df) = n - 1 = 16- 1 = 15

Confidence level (C) = 99% = 0.99

Significance level = 1 - C = 1 - 0.99 = 0.01 = 1%

t-value corresponding to 15 df and 1% significance level is 2.95

The margin of error will be:-

E = t×sd/√n = 2.95 ×  12/√16 = 8.85

The interval will be:-

Lower limit = mean - E = 76.2 - 8.85 = 67.35

Upper limit = mean + E = 76.2 + 8.85 = 85.05

Therefore, the 99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

To know more about margin of error follow

brainly.com/question/24289590

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2 years ago
Find the value of x in each case. Give reasons to justify your solutions! e L, M ∈ KN
Greeley [361]

Answer:

X=36

Step-by-step explanation:

3x+72=180

3x=180-72

3x=108

x=36

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Answer:

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Step-by-step explanation:

560/5 * x/9

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