there were 324 adults surveyed. among the participants, the mean number of hours of sleep each night was 7.5…

there were 324 adults surveyed. among the participants, the mean number of hours of sleep each night was 7.5 and the standard deviation was 1.6. the margin of error, assuming a 95% confidence level, is approximately. round to the nearest hundredth

there were 324 adults surveyed. among the participants, the mean number of hours of sleep each night was 7.5 and the standard deviation was 1.6. the margin of error, assuming a 95% confidence level, is approximately. round to the nearest hundredth

Answer

Answer:

0.17

Explanation:

Step1: Identify the formula

Margin of error $E = z^*\frac{\sigma}{\sqrt{n}}$

Step2: Identify the values

$n = 324$, $\sigma=1.6$, $z^* = 1.96$ (for 95% confidence level)

Step3: Calculate $\sqrt{n}$

$\sqrt{324}=18$

Step4: Calculate $\frac{\sigma}{\sqrt{n}}$

$\frac{1.6}{18}\approx0.0889$

Step5: Calculate the margin of error

$E = 1.96\times0.0889\approx0.17$