To construct the confidence interval, the quantity tsm is subtracted from and added to the sample mean. In this case, tsm = Suppose that the researcher uses the same sample but decides to construct a 85% confidence interval of the mean of the population. Compared with the center of the 95% confidence interval, the center of the 85% confidence interval Compared to the 95% confidence interval, the 85% confidence interval

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Use the grey star to mark the mean of the sample. (Be sure to place the star on the horizontal blue Iline segment
that represents the confidence interval.)
To construct the confidence interval, the quantity tsm is subtracted from and added to the sample mean.
In this case, tsm
Suppose that the researcher uses the same sample but decides to construct a 85% confidence interval of the mean
of the population.
Compared with the center of the 95% confidence interval, the center of the 85% confidence interval
Compared to the 95% confidence interval, the 85% confidence interval
At the same confidence level,
in the sample size would have a similar effect on the width of the
confidence interval as changing the confidence level from 95% to 85%.
Transcribed Image Text:Use the grey star to mark the mean of the sample. (Be sure to place the star on the horizontal blue Iline segment that represents the confidence interval.) To construct the confidence interval, the quantity tsm is subtracted from and added to the sample mean. In this case, tsm Suppose that the researcher uses the same sample but decides to construct a 85% confidence interval of the mean of the population. Compared with the center of the 95% confidence interval, the center of the 85% confidence interval Compared to the 95% confidence interval, the 85% confidence interval At the same confidence level, in the sample size would have a similar effect on the width of the confidence interval as changing the confidence level from 95% to 85%.
10. Properties of a confidence interval
Aa Aa
Suppose the mean of a population is u = 22. A researcher (who does not know that µ =
22) selects a random sample
of size n from this population. Then she constructs a 95% confidence interval of the population mean.
The true population mean and the researcher's 95% confidence interval of the population mean are shown in the
following graph. Use the graph to answer the questions that follow.
Sample Mean
95% Confidence Interval
of the Population Mean
True Population Mean
21 22 23
24
25
26
27 28 29 30 31
Clear All
Transcribed Image Text:10. Properties of a confidence interval Aa Aa Suppose the mean of a population is u = 22. A researcher (who does not know that µ = 22) selects a random sample of size n from this population. Then she constructs a 95% confidence interval of the population mean. The true population mean and the researcher's 95% confidence interval of the population mean are shown in the following graph. Use the graph to answer the questions that follow. Sample Mean 95% Confidence Interval of the Population Mean True Population Mean 21 22 23 24 25 26 27 28 29 30 31 Clear All
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