True Population Mean 55 56 57 58 59 60 61 62 63 64 65 Use the grey star to mark the mean of the sample. (Be sure to place the star on the horizontal blue line segment that represents the confidence interval.) To construct the confidence interval, the quantity ts M is subtracted from and added to the sample mean. In this case, ts M Suppose that the researcher uses the same sample but decides to construct a 90% confidence interval of the mean of the population. Compared with the center of the 80% confidence interval, the center of the 90% confidence interval Compared to the 80% confidence interval, the 90% 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 80% to 90% .

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Please tell me where I should place the star on the horizontal blue line to mark the mean. How should it look like? 

The first blank is: the center of the 90% confidence interval "(shifts to the right, shifts to the left, or remains the same") 

The second blank: Compared to the 80%... the 90% confidence interval ("is narrower, is wider, or has the same width") 

The last blank: "decrease or increase" 

Suppose the mean of a population is µ = 61. A researcher (who does not know that µ
61) selects a random sample of size n from this population.
Then he constructs an 80% confidence interval of the population mean.
The true population mean and the researcher's 80% confidence interval of the population mean are shown in the following graph. Use the graph to
answer the questions that follow.
Sample Mean
80% Confidence Interval
of the Population Mean
True Population Mean
55
56
57
58
59
60
61
62
63
64
65
Use the grey star to mark the mean of the sample. (Be sure to place the star on the horizontal blue line segment that represents the confidence
Transcribed Image Text:Suppose the mean of a population is µ = 61. A researcher (who does not know that µ 61) selects a random sample of size n from this population. Then he constructs an 80% confidence interval of the population mean. The true population mean and the researcher's 80% confidence interval of the population mean are shown in the following graph. Use the graph to answer the questions that follow. Sample Mean 80% Confidence Interval of the Population Mean True Population Mean 55 56 57 58 59 60 61 62 63 64 65 Use the grey star to mark the mean of the sample. (Be sure to place the star on the horizontal blue line segment that represents the confidence
True Population Mean
55
56
57
58
59
60
61
62
63
64
65
Use the grey star to mark the mean of the sample. (Be sure to place the star on the horizontal blue line segment that represents the confidence
interval.)
To construct the confidence interval, the quantity ts M is subtracted from and added to the sample mean.
In this case, ts M =
Suppose that the researcher uses the same sample but decides to construct a 90% confidence interval of the mean of the population.
Compared with the center of the 80% confidence interval, the center of the 90% confidence interval
Compared to the 80%
confidence interval, the 90% 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 80% to 90% .
Transcribed Image Text:True Population Mean 55 56 57 58 59 60 61 62 63 64 65 Use the grey star to mark the mean of the sample. (Be sure to place the star on the horizontal blue line segment that represents the confidence interval.) To construct the confidence interval, the quantity ts M is subtracted from and added to the sample mean. In this case, ts M = Suppose that the researcher uses the same sample but decides to construct a 90% confidence interval of the mean of the population. Compared with the center of the 80% confidence interval, the center of the 90% confidence interval Compared to the 80% confidence interval, the 90% 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 80% to 90% .
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