The second picture has C Same question please answer from a through c workers in
ID: 3370104 • Letter: T
Question
The second picture has C Same question please answer from a through c workers in a certain country lead the world in vacation days, averaging 22 85 days per year. The tollowing workers from this country Complete parts a through c below data show the number of paid vacation days for a random sample of 20 27 25 21 16 58 The 99% contdence interval to estimate the average number of paid vacation days tor workers trom this country is trom days to Round to two decimal places as needed.) A. OB. Since the poputat on mean, 22 85. s not contained wen he 99% conndence nen, t can be said with 99% confidence that the sample validates the webste's findings Sinc e the population mean, 22 ss, is not contained within the 99% con C. Since the D. Srce the pputaton mean, 2285, is contained within the 99% confidence nonce interval, tcan be sad wth 99% confidence that the sample does not vabate the 22 es. es contared within he 99% conndence intervat it can be said with 99% confidence that the sample validates the webstes nndns website's findings. ntena. n cante said wth 99% connaence nat the sample does not vandate the website's findings c. What assumptions need to be made about this populationExplanation / Answer
(a)
Here, we write R-code for t test of one sample.
In which we get confidence interval for population
mean.
Thus R-code is given below:
x=c(9,9,2,7,13,21,21,27,20,29,19,29,21,16,30,33,26,25,36,58)
t.test(x,conf.level=0.99)
And the output is
> t.test(x,conf.level=0.99)
One Sample t-test
data: x
t = 8.1418, df = 19, p-value = 1.29e-07
alternative hypothesis: true mean is not equal to 0
99 percent confidence interval:
14.62623 30.47377
sample estimates:
mean of x
22.55
Thus here 99% confidence interval
is [14.62623,30.47377]
(b) Here population mean 22.85 is contained within 99% confidence interval.
Thus it can be said with 99% confident that sample validates the websites findings.
(c) The only assumption needed is that population is approximately normal.