A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.88 years and the standard deviation is 9.27 years.
$\begin{array}{lllll}41 & 33 & 39 & 48 & 31 ㅁ\end{array}$
a) How many degrees of freedom does the t-statistic have?
$\begin{array}{lllll}43 & 32 & 42 & 35 & 26\end{array}$
b) How many degrees of freedom would the t-statistic have if the sample size had been 100 ?
$\begin{array}{lllll}26 & 12 & 17 & 36 & 49\end{array}$
$\begin{array}{lllll}33 & 46 & 34 & 26 & 29\end{array}$
$\begin{array}{lllll}23 & 24 & 30 & 28 & 39\end{array}$
Answer
Final Answer: The t-statistic has \(\boxed{24}\) degrees of freedom.
Step 1 ：A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.88 years and the standard deviation is 9.27 years.
Step 2 ：The degrees of freedom for a t-statistic is calculated as the sample size minus 1. In this case, the sample size is 25, so the degrees of freedom would be 25 - 1 = 24.
Step 3 ：Final Answer: The t-statistic has \(\boxed{24}\) degrees of freedom.
