Provide an appropriate response.
-How much money does the average professional hockey fan spend on food at a single hockey game? That question was posed to 10 randomly selected hockey fans. The sampled results show that sample mean and standard deviation were $\$ 19.00$ and $\$ 3.35$, respectively. Use this information to create a $98 \%$ confidence interval for the mean.
A) $19 \pm 2.821 ( 3.35 / \sqrt { 10 } )$
B) $19 \pm 2.764 ( 3.35 / \sqrt { 10 } )$
C) $19 \pm 2.718 ( 3.35 / \sqrt { 10 } )$
D) $19 \pm 2.262 ( 3.35 / \sqrt { 10 } )$

Question

Quizplus · Accepted Answer

The correct confidence interval uses the t-distribution since the population standard deviation is unknown and the sample size is small (n=10). For a 98% confidence level and 9 degrees of freedom (n-1=10-1=9), the t-score is approximately 2.821. The formula for the confidence interval is mean ± t-score * (standard deviation / sqrt(n)), which matches choice A.

Provide an Appropriate Response $19.00\$ 19.00$19.00 And $3.35\$ 3.35$3.35 , Respectively 98%98 \%98%

Provide an Appropriate Response $\$ 19.00$ And $\$ 3.35$ , Respectively $98 \%$