In addition to teachers and administrative staff, schools also have many other e

Question

In addition to teachers and administrative staff, schools also have many other employees, including bus drivers, custodians, and cafeteria workers. In Auburn, WA, the average hourly wage is $16.92 for bus drivers, $17.65 for custodians, and $12.86 for cafeteria workers. Suppose that a second school district employs n = 36 bus drivers who earn an average of $14.75 per hour with a standard deviation of s = $2.85. Find a 95% confidence interval for the average hourly wage of bus drivers in school districts similar to this one.

$ ________ to $ _________

Explanation / Answer

Confidence Interval
CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Mean(x)=14.75
Standard deviation( sd )=2.85
Sample Size(n)=36
Confidence Interval = [ 14.75 ± t a/2 ( 2.85/ Sqrt ( 36) ) ]
= [ 14.75 - 2.03 * (0.475) , 14.75 + 2.03 * (0.475) ]
= [ 13.786,15.714 ]

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.