6.9, 6.9, 6.7, 7.8, 6.1, 7.2, 7, 7.5, 6.7, 6.6, 7.1, 7.9, 6.4, 7.3, 7, 7.3, 7.4, 7.4, 7.6, 7.2, 7, 7.8, 6.8, 6.7, 7.6, 6.5, 7.5, 6.5, 7.1 Assuming the population standard deviation is o = 0.56, construct a 87% confidence interval for the average hours of sleep per night that college students get. H = 82 de .11 = Margin of Error: E = We are 87% confident that college students get an average of between and hours of sleep per night. hours

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A scientific study was conducted to determine the hours of sleep that college students get per night. The study surveyed 29 college students and obtained the following data:

6.9, 6.9, 6.7, 7.8, 6.1, 7.2, 7, 7.5, 6.7, 6.6, 7.1, 7.9, 6.4, 7.3, 7, 7.3, 7.4, 7.4, 7.6, 7.2, 7, 7.8, 6.8, 6.7, 7.6, 6.5, 7.5, 6.5, 7.1

Assuming the population standard deviation is σ = 0.56, construct a 87% confidence interval for the average hours of sleep per night that college students get.

\[
\bar{x} = \text{\_\_\_\_\_}
\]

\[
\frac{\alpha}{2} = \text{\_\_\_\_\_}
\]

\[
z_{\frac{\alpha}{2}} = \text{\_\_\_\_\_}
\]

Margin of Error: E = \text{\_\_\_\_\_}

We are 87% confident that college students get an average of between \text{\_\_\_\_\_} hours and \text{\_\_\_\_\_} hours of sleep per night.
Transcribed Image Text:A scientific study was conducted to determine the hours of sleep that college students get per night. The study surveyed 29 college students and obtained the following data: 6.9, 6.9, 6.7, 7.8, 6.1, 7.2, 7, 7.5, 6.7, 6.6, 7.1, 7.9, 6.4, 7.3, 7, 7.3, 7.4, 7.4, 7.6, 7.2, 7, 7.8, 6.8, 6.7, 7.6, 6.5, 7.5, 6.5, 7.1 Assuming the population standard deviation is σ = 0.56, construct a 87% confidence interval for the average hours of sleep per night that college students get. \[ \bar{x} = \text{\_\_\_\_\_} \] \[ \frac{\alpha}{2} = \text{\_\_\_\_\_} \] \[ z_{\frac{\alpha}{2}} = \text{\_\_\_\_\_} \] Margin of Error: E = \text{\_\_\_\_\_} We are 87% confident that college students get an average of between \text{\_\_\_\_\_} hours and \text{\_\_\_\_\_} hours of sleep per night.
Expert Solution
Step 1

Given that data 

6.9, 6.9, 6.7, 7.8, 6.1, 7.2, 7, 7.5, 6.7, 6.6, 7.1, 7.9, 6.4, 7.3, 7, 7.3, 7.4, 7.4, 7.6, 7.2, 7, 7.8, 6.8, 6.7, 7.6, 6.5, 7.5, 6.5, 7.1

Sample size n =29

 

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