the populaton mean y. What is the mangin of emor of u?Intorret the results The c

Question

the populaton mean y. What is the mangin of emor of u?Intorret the results The confidence intervel for the populetion meanD Round to one decimal place as needed ) The margin of error of ? Round to one deaimal place as needed.) OA. Ear be sad hat 80% ofpeople havo a comma, the beh eenthebounds of focoldnce itev OC. OD, Wih 80% onfidence, toan be said that t e oom, de lme is between the bordsofthe oldenco itr wth 80% oontdene-loan be said that the population mean 00mmte sne is between the bounds offe orddence iterval 7 8 2 6

Explanation / Answer

Solution:

Given information
Mean(x)=32.6
Standard deviation( sd )=7.3
Sample Size(n) = 18

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)=34.3
Standard deviation( sd )=7.3
Sample Size(n)=26
Confidence Interval = [ 32.6 ± t a/2 ( 7.3/ sqrt(18) ) ]
= [ 32.6 - 1.333 * (1.721) , 32.6 + 1.333 * (1.721) ]
= [30.306, 34.894 ] ~ [30.3, 34.9]

Margin of Error = t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
Margin of Error = ta/2 * 7.3/ sqrt(18)
= 1.333 * (1.721)
= 2.294 ~ 2.3
D. With 80% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.

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