(d) Now consider a sample size of 81. Compute 90%, 95%, and 99% confidence intervals for u using Method 1 with a Student's t distribution. Round endpoints to two digits after the decim 90% 95% 99% lower limit upper limit (e) Compute 90%, 95%, and 99% confidence intervals for u using Method with the standard normal distribution. Use s as an estimate for o. Round endpoints to two digits after the decin 90% 95% 99% lower limit upper limit (f) Compare intervals for the two methods. Would you say that confidence intervals using a Student's t distribution are more conservative in the sense that they tend to be longer than intervals based on the standard normal distribution? O Yes. The respective intervals based on the t distribution are shorter. O Yes. The respective intervals based on the t distribution are longer. O No. The respective intervals based on the t distribution are longer. O No. The respective intervals based on the t distribution are shorter. With increased sample size, do the two methods give respective confidence intervals that are more similar? O As the sample size increases, the difference between the two methods becomes greater. O As the sample size increases, the difference between the two methods remains constant. O As the sample size increases, the difference between the two methods is less pronounced.

Question
(d) Now consider a sample size of 81. Compute 90%, 95%, and 99% confidence intervals for u using Method 1 with a Student's t distribution. Round endpoints to two digits after the decim
90%
95%
99%
lower limit
upper limit
(e) Compute 90%, 95%, and 99% confidence intervals for u using Method
with the standard normal distribution. Use s as an estimate for o. Round endpoints to two digits after the decin
90%
95%
99%
lower limit
upper limit
(f) Compare intervals for the two methods. Would you say that confidence intervals using a Student's t distribution are more conservative in the sense that they tend to be longer than
intervals based on the standard normal distribution?
O Yes. The respective intervals based on the t distribution are shorter.
O Yes. The respective intervals based on the t distribution are longer.
O No. The respective intervals based on the t distribution are longer.
O No. The respective intervals based on the t distribution are shorter.
With increased sample size, do the two methods give respective confidence intervals that are more similar?
O As the sample size increases, the difference between the two methods becomes greater.
O As the sample size increases, the difference between the two methods remains constant.
O As the sample size increases, the difference between the two methods is less pronounced.
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Transcribed Image Text

(d) Now consider a sample size of 81. Compute 90%, 95%, and 99% confidence intervals for u using Method 1 with a Student's t distribution. Round endpoints to two digits after the decim 90% 95% 99% lower limit upper limit (e) Compute 90%, 95%, and 99% confidence intervals for u using Method with the standard normal distribution. Use s as an estimate for o. Round endpoints to two digits after the decin 90% 95% 99% lower limit upper limit (f) Compare intervals for the two methods. Would you say that confidence intervals using a Student's t distribution are more conservative in the sense that they tend to be longer than intervals based on the standard normal distribution? O Yes. The respective intervals based on the t distribution are shorter. O Yes. The respective intervals based on the t distribution are longer. O No. The respective intervals based on the t distribution are longer. O No. The respective intervals based on the t distribution are shorter. With increased sample size, do the two methods give respective confidence intervals that are more similar? O As the sample size increases, the difference between the two methods becomes greater. O As the sample size increases, the difference between the two methods remains constant. O As the sample size increases, the difference between the two methods is less pronounced.

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