Mathematics: 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

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There were 324 adults surveyed. among the participants,

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paxbro3986

31.05.2020

Mathematics

Answer with explanation:

Total Population Being Surveyed = 324

Mean of the Population = 7.5

Standard Deviation =1.6

Margin of Error is given by the formula

$=Z_{\text{value at 95 percent confidence interval}}\times \frac{\text{Standard deviation}}{\sqrt{\text{Sample size}}}\\\\=1.96 \times \frac{1.6}{\sqrt{324}}\\\\=1.96\times \frac{1.6}{18}\\\\=\frac{3.136}{18}\\\\=0.1742$

Marginal of Error = 0.17 (approx)

Mean =7.5

Confidence Interval for a population when Z score at 95% is calculated =Mean $\pm$ margin of error

=that is between ,7.50 +0.17 to ,7.50 -0.17

=Between ,7.33 to 7.67

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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

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