What assumption must you make in order to use these statics for inference? selec

Question

What assumption must you make in order to use these statics for inference? select all that apply. The samples is at least 10% of the population The data values should be dependent The is and symmetric with no The data are a random sample of all days. Find 90% confidence for the mean daily income this generate Explain in contact what this confidence interval means. There is 90% confidence that the mean daily income will always fall in this interval There is 90% confidence that the mean weekdays income will always fall in this interval There is 90% confidence that the mean weekdays income will always fall in this interval There is 90% confidence that the mean daily income

Explanation / Answer

b.
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)=131
Standard deviation( sd )=17
Sample Size(n)=45
Confidence Interval = [ 131 ± t a/2 ( 17/ Sqrt ( 45) ) ]
= [ 131 - 1.68 * (2.534) , 131 + 1.68 * (2.534) ]
= [ 126.743,135.257 ]
c.
there is 990% confidence that the mean daily income is always fall in the interval
d.
Interpretations:
1) We are 90% sure that the interval [126.743 , 135.257 ] contains the true population mean
2) If a large number of samples are collected, and a confidence interval is created
for each sample, 90% of these intervals will contains the true population mean  

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