Question

In: Statistics and Probability

A ___________ is a statistic obtained from the population. A. population parameter B. confidence level C.point...

A ___________ is a statistic obtained from the population.

A. population parameter

B. confidence level

C.point estimate

D. confidence interval

E. standard error of the mean

A ___________ is a statistical interval around a point estimate that we can provide a level of confidence to for capturing the true population parameter.

A. population parameter

B. confidence level

C. point estimate

D. confidence interval

E. standard error of the mean

The following formula is used to calculate _____________.

X¯ ± tα (σx¯)=X¯ ± tα (sn)

A. A confidence interval around a sample proportion with large samples

B. A confidence interval around a sample mean with large samples

C. A confidence interval around a sample mean with small samples

D. A confidence interval around a population mean with large samples

E. A confidence interval around a population mean with small samples

The following formula is used to calculate _____________.

p^ ± zα (σp) =p^ ± zα p^ (1−p^)n

A. A confidence interval around a sample proportion with large samples

B. A confidence interval around a sample mean with large samples

C. A confidence interval around a sample mean with small samples

D. A confidence interval around a population mean with large samples

E. A confidence interval around a population mean with small samples

The following formula is used to calculate ______________.

X¯±zα (σx¯)=X¯±zα (sn)

A. A confidence interval around a sample proportion with large samples

B. A confidence interval around a sample mean with large samples

C. A confidence interval around a sample mean with small samples

D. A confidence interval around a population mean with large samples

E. A confidence interval around a population mean with small samples

Solutions

Expert Solution

A __POPULATION PARAMETER___ is a statistic obtained from the population.

option A is correct

A _____CONFIDENCE INTERVAL______ is a statistical interval around a point estimate that we can provide a level of confidence to for capturing the true population parameter.

Hence option B is correct

The following formula is used to calculate _____________.

X¯ ± tα (σx¯)=X¯ ± tα (sn)

A confidence interval around a sample mean with small samples

because n < 30 use t test to calculate CI n <30 are small samples, the confidence interval conducted for sample data not for population data

Hence option C is correct

The following formula is used to calculate __p^ ± zα (σp) =p^ ± zα p^ (1−p^)n_____ A confidence interval around a sample proportion with large samples______.

p^ is a sample proportion so it is a confidence interval around a sample proportion with large samples

Option A is correct

The following formula is used to calculate _____X¯±zα (σx¯)=X¯±zα (sn)___ is ____A confidence interval around a sample mean with large samples__.

Option B is correct

because n > 30 use t test to calculate CI n >30 are large samples, the confidence interval conducted for sample data not for population data


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