Question: Define a confidence interval and define a point estimate. What do these two things have in common, and what is their primary difference? dentify the
- Define a confidence interval and define a point estimate. What do these two things have in common, and what is their primary difference?
- dentify the best point estimate to use when estimating a population mean
- A random sample of 25 full-term female babies in the United States was found to have an average weight of 7.4 lbs with a standard deviation of 1.1 lbs. Work through the following questions to create and interpret a 95% confidence interval for the population average weight of full-term female babies born in the United States. Calculate the critical value to be used for this confidence interval.
- Describe the type of statistic used for the critical value and explain how it was found.
- Calculate the margin of error to be used for this confidence interval.
- Describe the formula used for calculating the margin of error in terms of the variable inputs. Identify what each variable represents.
- Calculate the upper and lower limits of the confidence interval. Clearly label each result.
- Describe the formulas used for calculating the upper and lower limits of the confidence interval in terms of the variable inputs. Identify what each variable represents.
- Interpret the confidence interval in the context of the scenario.
- Identify the best point estimate to use when estimating a population proportion.
- A random sample of 40 full-term female babies in the United States found that 20% were born weighing less than 5.5 lbs. Work through the following questions to create and interpret a 99% confidence interval for the population proportion of full-term female babies born in the United States that weigh less than 5.5 lbs. Calculate the critical value to be used for this confidence interval and explain how this value was found.
- Calculate the margin of error to be used for this confidence interval.
- Describe the formula used to calculate the margin of error in terms of the variable inputs. Identify what each variable represents.
- Calculate the upper and lower limits of the confidence interval. Clearly label each result.
- Describe the formulas used for calculating the upper and lower limits of the confidence interval in terms of the variable inputs. Identify what each variable represents.
- Interpret the confidence interval in the context of the scenario.
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