Below You Are Given Ages That Were Obtained by Taking $\mu$

question 131

Essay

Below you are given ages that were obtained by taking a random sample of 9 undergraduate students. Assume the population has a normal distribution.
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a.What is the point estimate of $\mu$ ?
b.Determine the standard deviation.
c.Construct a 90% confidence interval for the average age of undergraduate students.
d.Construct a 99% confidence interval for the average age of undergraduate students.
e.Discuss why the 99% and 90% confidence intervals are different.

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Definitions:

Larger

Having greater size, quantity, or magnitude than something else or than usual.

Coefficient of Determination

A statistical measure, often denoted as R^2, that represents the proportion of the variance for a dependent variable that's explained by one or more independent variables in a regression model.

Slope

The rate of change in the dependent variable for a unit change in the independent variable in a linear relationship.

Regression Line

A line of best fit through a scatterplot of data points in regression analysis, showing the relationship between the independent and dependent variables.