6) Suppose =36 and sample size n = 81. What is the standard error (S.E) of x ? S
ID: 2928164 • Letter: 6
Question
6) Suppose =36 and sample size n = 81. What is the standard error (S.E) of x ?
Select one:
a. 0.45
b. 4
c. 13.5
7) The sample proportion, p(bar) = 0.25 and n=36. At the 99% confidence level, the margin of error is computed to be 0.05. Which one of the following represents the 99% confidence interval estimate of p? Select one:
a. 0.25 ± 0.05
b. 0.25 ± 0.025
c. 0.25 ± 0.07
8) The sample proportion, p(bar) = 0.25 and n=36. The standard error of p(bar) (rounded to two decimal places) is given by Select one:
a. ((0.25*0.75)/36) = 0.07
b. 0.25/36 = 0.04
c. (0.25*0.75) = 0.43 9)
9) We have n=15, x =10, s=4 and (1-)=0.99. The standard error of x (rounded to two decimal places) is Select one:
a. 0.27
b. 1.03
c. 7.5
10)We have n=15, x(bar)=10, s=4 and (1-)=0.99. Using Excel and after rounding to two decimal places, the critical value, t/2, is Select one:
a. 2.98
b. 1.76
c. 2.14
11) When one increases the confidence level (1-), say from 0.90 to 0.95, Select one:
a. margin of error will increase
b. the resulting confidence interval will capture the population parameter more often
c. both A and B are correct
12) When the population standard deviation () is known and we wish to estimate , the margin of error is obtained as Select one:
a. z/2 × s/n
b. t/2 × s/n
c. z/2 × /n
13) When the population standard deviation () is NOT known and we wish to estimate , the margin of error is obtained as Select one:
a. z/2 × s/n
b. t/2 × s/n
c. z/2 × /n
14) Which one of the following is a point estimator? Select one:
a.
b. x (bar)
c. p
15) We have n=15, x(bar) =10, s=4, and (1-)=0.99. We wish to obtain the 99% confidence interval estimate of . What is the margin of error (rounded to two decimal places)?
Explanation / Answer
6) standard error (S.E) of x = /(n)1/2 =4
option b. 4
7)
a. 0.25 ± 0.05
8)
standard error of p(bar)
a. ((0.25*0.75)/36) = 0.07
9) standard error of x =s/(n)1/2
b. 1.03
10)critical value, t/2 =
a. 2.98
11)
c. both A and B are correct
12)
c. z/2 × /n
13)
b. t/2 × s/n
14)
b. x (bar)
15)
std error = s/n =1.03
for t =2.98
therefore margin of error =t*std error=3.07
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