Your sample, which is Sample 1 in the table below, has a mean of x=141,7. (In the table,
Sample 1 is written "S1", Sample 2 is written "S2", etc.) (a) Based on Sample 1, graph the 80%
and 95% confidence intervals for the population mean, Use 1.282 for the critical value for the
80% confidence Interval, and use 1.960 for the critical value for the 95% confidence interval. (If
necessary, consult a list of formulas.) - Enter the lower and upper limits on the grophs to show
each confidence Interval. Write your answers with one decimal place. - For the points ( and ),
enter the population mean, =140. (b) Press the "Generate Samples" button below to simulate
taking 19 more samples of size n=95 from the population. Notice that the confidence. intervals
for these samples are drawn automatically. Then complete parts (c) and (d) below the table.
c) Notice that for 2019=95% of the samples, the 95% confidence interval contains the population
mean. Choose the correct statement. When constructing 95% confidence intervals for 20 samples
of the same size from the population, it is possible that more or fewer than 95% of the samples
will contain the population mean. When constructing 95% confidence intervals for 20 samples of
the same size from the population, exactly 95% of the samples will contain the population mean.
When constructing 95% confidence intervals for 20 samples of the same size from the
population, at most 95% of the samples will contain the population mean.
Notice that for 2019=95% of the samples, the 95% confidence interval contains the population
mean. Choose the correct statement. When constructing 95% confidence intervals for 20 samples
of the same size from the population, it is possible that more or fewer than 95% of the samples
will contain the population mean. When constructing 95% confidence intervals for 20 samples of
the same size from the population, exactly 95% of the samples will contain the population mean.
When constructing 95% confidence intervals for 20 samples of the same size from the
population, at most 95% of the samples will contain the population mean. (d) Choose ALL that
are true. The 80% confidence interval for Sample 12 is narrower than the 95% confidence
interval for Sample 12 . This is coincidence; when constructing a confidence interval for a
sample, there is no relationship between the level of confidence and the width of the interval.
From the 80% confidence interval for Sample 12, we cannot say that there is an 80% probability
that the population mean is between 139.0 and 145.0 . If there were a Sample 21 of size n=190
taken from the same population as Sample 12 , then the 95% confidence interval for Sample 21
would be wider than the 95% confidence interval for Sample 12. The 95% confidence interval
for Sample 12 does not indicate that 95% of the sample 12 data values are between 137,4 and
146.6. None of the choices above are true..
Your sample, which is Sample 1 in the table below, has a mean of x=14.pdf
1. Your sample, which is Sample 1 in the table below, has a mean of x=141,7. (In the table,
Sample 1 is written "S1", Sample 2 is written "S2", etc.) (a) Based on Sample 1, graph the 80%
and 95% confidence intervals for the population mean, Use 1.282 for the critical value for the
80% confidence Interval, and use 1.960 for the critical value for the 95% confidence interval. (If
necessary, consult a list of formulas.) - Enter the lower and upper limits on the grophs to show
each confidence Interval. Write your answers with one decimal place. - For the points ( and ),
enter the population mean, =140. (b) Press the "Generate Samples" button below to simulate
taking 19 more samples of size n=95 from the population. Notice that the confidence. intervals
for these samples are drawn automatically. Then complete parts (c) and (d) below the table.
c) Notice that for 2019=95% of the samples, the 95% confidence interval contains the population
mean. Choose the correct statement. When constructing 95% confidence intervals for 20 samples
of the same size from the population, it is possible that more or fewer than 95% of the samples
will contain the population mean. When constructing 95% confidence intervals for 20 samples of
the same size from the population, exactly 95% of the samples will contain the population mean.
When constructing 95% confidence intervals for 20 samples of the same size from the
population, at most 95% of the samples will contain the population mean.
Notice that for 2019=95% of the samples, the 95% confidence interval contains the population
mean. Choose the correct statement. When constructing 95% confidence intervals for 20 samples
of the same size from the population, it is possible that more or fewer than 95% of the samples
will contain the population mean. When constructing 95% confidence intervals for 20 samples of
the same size from the population, exactly 95% of the samples will contain the population mean.
When constructing 95% confidence intervals for 20 samples of the same size from the
population, at most 95% of the samples will contain the population mean. (d) Choose ALL that
are true. The 80% confidence interval for Sample 12 is narrower than the 95% confidence
interval for Sample 12 . This is coincidence; when constructing a confidence interval for a
sample, there is no relationship between the level of confidence and the width of the interval.
From the 80% confidence interval for Sample 12, we cannot say that there is an 80% probability
that the population mean is between 139.0 and 145.0 . If there were a Sample 21 of size n=190
taken from the same population as Sample 12 , then the 95% confidence interval for Sample 21
would be wider than the 95% confidence interval for Sample 12. The 95% confidence interval
for Sample 12 does not indicate that 95% of the sample 12 data values are between 137,4 and
146.6. None of the choices above are true.
