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The difference between teenage female and male depression rates estimated from two samples is 0.08. The estimated standard error of the sampling distribution is 0.03. What is the 95% confidence interval? Use the critical value z = 1.96.

Respuesta :

Answer: = ( 0.0384, 0.1216)

Therefore at 95% confidence interval the difference between teenage female and male depression rates is between ( 0.0384, 0.1216)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 0.08

Standard deviation r = 0.03

Number of samples n = 2

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

0.08+/-1.96(0.03/√2)

0.08+/-1.96(0.021213203435)

0.08+/-0.0416

= ( 0.0384, 0.1216)

Therefore at 95% confidence interval= ( 0.0384, 0.1216)

Cricetus

At 95% confidence interval (0.0384, 0.1216).

Given values are:

Mean,

  • x = 0.08

Standard deviation,

r = 0.03

Number of samples,

  • n = 2

Confidence interval,

  • c = 95%

z (at 95%),

  • 1.96

As we know,

The confidence interval of statistical data will be:

= [tex]\frac{0.08+}{-1.96(\frac{0.03}{\sqrt{2} } )}[/tex]

= [tex]\frac{0.08+}{-1.96(0.02121320)}[/tex]

= [tex]\frac{0.08+}{-0.0416}[/tex]

= [tex](0.0384, 0.1216)[/tex]

Thus the answer above is right.

Learn more:

https://brainly.com/question/17153441

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