A survey of licensed drivers inquired about running red lights. One question asked, "Of every 10 motorists who run a red light, about how many do you think will be caught?" The mean result for 880 respondents was ¯x= 1.92. Suppose we know that σ = 1.83. Compute a 95% confidence interval for the mean opinion in the population of all licensed drivers. (Round your answer to the nearest hundredth.)

(0.79, 3.05 )

Step-by-step explanation:

Confidence interval for the population mean:

, where = Sample mean

= population standard deviation

n= sample size.

= Critical z value for confidence interval c.

As per given:

n= 10

Critical z-value for 95% confidence = 1.96

A 95% confidence interval for the mean opinion in the population of all licensed drivers:-

Hence, a 95% confidence interval for the mean opinion in the population of all licensed drivers = (0.79, 3.05)

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step-by-step explanation:

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step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!