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OLEGan [10]
2 years ago
6

In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0

represents the worst possible life and 10 represents the best possible life. The mean response was 5.4, with a standard deviation of 2.3.
(a) What response represents the 86th percentile? (Round to two decimal places as needed).
​(b) What response represents the 55th ​percentile? (Round to two decimal places as needed).
​(c) What response represents the first ​quartile? (Round to two decimal places as needed).
Mathematics
1 answer:
VashaNatasha [74]2 years ago
3 0

The response that represents the 86th percentile is 7.884

The response that represents the 55th percentile is 5.69

The response that represents the first percentile 3.85

<h3 /><h3>How to solve for the 86th percentile</h3>

mean = 5.4

sd = 2.3

p(X>x) = 0.86

find the value of z using the NORMSINV function in excel with a probability of 0.86

z = 1.080

x = mean + sd*z

= 5.4 + 2.3 * 1.080

= 7.88

<h3>How  to solve for the 55th percentile</h3>

mean = 5.4

sd = 2.3

p(X>x) = 0.55

find the value of z using the NORMSINV function in excel with a probability of 0.55

z = 0.1257

x = mean + sd*z

= 5.4 + 2.3 * 0.1257

= 5.69

c. The first quartile is 25%

z = -0.6745

5.4 + 2.3 * -0.6745

= 5.4-1.551

= 3.85

Read more on percentile here:

brainly.com/question/2263719

#SPJ1

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