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Which of the following is not an acceptable condition for using the t distributi

ID: 3224368 • Letter: W

Question

Which of the following is not an acceptable condition for using the t distribution to make a confidence interval for mu? A) The population from which the sample is drawn is right-skewed B) The population from which the sample is drawn is normal C) The population standard deviation is unknown D) The population distribution has a mean of zero A sample of size 97 from a population having standard deviation sigma = 7 produced a mean of 47. The 99% confidence interval for the population mean (rounded to two decimal places) is: Part A: The lower limit is Part B: The upper limit is

Explanation / Answer

2.
Confidence Interval
CI = x ± Z a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Mean(x)=47
Standard deviation( sd )=7
Sample Size(n)=97
Confidence Interval = [ 47 ± Z a/2 ( 7/ Sqrt ( 97) ) ]
= [ 47 - 2.58 * (0.71) , 47 + 2.58 * (0.71) ]
= [ 45.17,48.83 ]
part:A lower limit is 45.17
part:B upper limit is 48.83

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