# A hybrid course is one that contains both online and classroom instruction. In a study performed at Middle Georgia State University, a software packag

A hybrid course is one that contains both online and classroom instruction. In a study performed at Middle Georgia State University, a software package was used as the main souce of instruction in a hybrid college algebra course. The software tracked the number of hours it took for each student to meet the objectives of the course. In a sample of 45 students, the mean number of hours was 80.5, with a standard deviation of 51.2.
a. Construct a 95% confidence interval for the mean number of hours it takes for a student to meet the course objectives.
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Layton
(a)Step 1
A.95% confidence interval for the mean number of hours it takes for the student to makes course of objectives is, First, compute f-critical value then find confidence interval.
The t critical value for the 95% confidence interval is,
$\alpha =0.05$
The sample size is small and two-tailed test. Look in the column headed and the row headed in the fdistribution table by using degree of freedom is,
d.f.=n-1
=45-1=44
The tcritical value for the 95% confidence interval is 2.015.
Step 2
$95\mathrm{%}C.I.=\stackrel{―}{x}±{t}_{c}×s/\sqrt{n}$
$=80.50±2.015×51.20/\sqrt{45}$
$=80.50±15.38$
= 65.12 to 95.88
65.12 to 95.884 95% confidence interval for the mean number of hours it takes for the student to makes course of objectives is.
Step 3
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