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Problem 1 The mean age for Kings Colege students for a recent Fall term was 30.4. Suppose that 16 Winter students were randomly selected. The mean age for the sample was 32.7 . The sample standard deviation was calculated to be 12 . we are interested in the true mean age for Winter Kings College students Collaose A a. (.10) = b. (.10) $12 (20) The standard error for = 95% confidence interval for the sample mean. LL (lower lmit) d. (.20) The t value for a confidence inter alis e. (.20) Construct a 95% Fil in the blanks to clarify the following diagram. UL (upper limit)
d (20) The t value for a 95% confidence interval is e. (.20) Construct a 95% confidence interval for the sample mean. Fill in the blanks to clarify the following diagram. (ower limit) = UL (upper limit) UL E(.20) Is the mean age for the Fall term within our 95% the mean age for the winter term, v cia one) confidence in terval for NO
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Answer #1

a)xbar=32.7

b)s =12

c) std error for xbar =12sqrt(16)=3

d) t value =2.131

e)LL =mean-t*std error =32.7-2.131*3=26.307

UL=mean+t*std error =32.7+2.131*3=39.093

f)

YES

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