Since the values are equally likely and equally spaced, their mean is the middle one.
the mean is 1/5
The variance is the average of the square of the deviations from the mean.
σ² = (1/3)((-1/10)² + 0² + (1/10)²) = 2/300
the variance is 2/300
Answer:
47.746, answer choice C
Step-by-step explanation:
47.746
Thus an approximate 95% confidence interval for the average enrollment of all 60,000 faculty members in the two years prior to the survey. which implies that the given statement is true.
According to the statement
Average sample =3700
SD sample =6500
Sample size =400
EV average =3700
SE average =325
Population size =3000
The boundaries of the 68% confidence interval are then 1 standard error from the estimated average:
EV average+1⋅SE average =3700+1⋅325=3700+325=4025
EV average−1⋅SE average =3700−1⋅325=3700−325=3375
Thus an approximate 95% confidence interval for the average enrollment of all 60,000 faculty members in the two years prior to the survey. which implies that the given statement is true.
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