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When 1370 subjects were​ asked, "On how many days in the past 7 days have you felt​ lonely?" the mean was 1.5 and the standard deviation was 2.16. The margin of error for a​ 95% confidence interval for the population mean is 0.12. Construct that confidence​ interval, and interpret it. The confidence interval goes from nothing to nothing. ​(Round to two decimal places as​ needed.)

Respuesta :

Answer:

The 95% of confidence intervals with margin error

(1.38 , 1.62)

Step-by-step explanation:

Step :-1

Given sample size (n) = 1370

Given the margin error  (M.E) = 0.12

The sample mean (x⁻) = 1.5

The sample standard deviation (σ) = 2.16.

The margin of error

[tex]\frac{2sigma}{\sqrt{n} } = 0.12[/tex]

Step :-2

The 95% of confidence intervals with margin error for the population mean

( 'x⁻' ± Margin error)

(1.5 ± 0.12)

(1.5 -0.12 , 1.5 +0.12)

(1.38 , 1.62)

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