Lunch breaks are often considered too short, and employees frequently develop a

Question

Lunch breaks are often considered too short, and employees frequently develop a habit of "stretching" them. The manager at Giant Mart randomly identified 22 employees and observed the length of their lunch breaks (in minutes) for one randomly selected day during the week.

(b) Find the 95% confidence interval for "mean length of lunch breaks" at Giant Mart. (Give your answers correct to two decimal places.)
________ to  minutes______

32 23 39 36 29 33 21 26 30 20 24 34 30 27 27 33 22 28 30 30 27 42

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)=29.227
Standard deviation( sd )=5.622
Sample Size(n)=22
Confidence Interval = [ 29.227 ± t a/2 ( 5.622/ Sqrt ( 22) ) ]
= [ 29.227 - 2.0796 * (1.2) , 29.227 + 2.0796 * (1.2) ]
= [ 26.73,31.72 ]

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