How much money does the average professional hockey fan spend on food at a single hockey game? Thatquestion was posed to 10 randomly selected hockey fans. The sampled results show that sample mean andstandard deviation were $19.00 and $2.6, respectively. Use this information to create a 95% confidence interval for the mean. Express the answer in the form $x \pm t / \alpha / 2 ( \mathrm {~s} / \sqrt { n } )$.
A) $19 \pm 2.262 ( 2.6 / \sqrt { 10 } )$
B) $19 \pm 2.228 ( 2.6 / \sqrt { 10 } )$
C) $19 \pm 2.201 ( 2.6 / \sqrt { 10 } )$
D) $19 \pm 1.833 ( 2.6 / \sqrt { 10 } )$

Question

Quizplus · Accepted Answer

The correct t-value for a 95% confidence interval with 9 degrees of freedom (n-1 = 10-1) is approximately 2.262. The formula for the confidence interval is correctly applied in option A.

How Much Money Does the Average Professional Hockey Fan Spend x±t/α/2( s/n)x \pm t / \alpha / 2 ( \mathrm {~s} / \sqrt { n } )x±t/α/2( s/n​)

How Much Money Does the Average Professional Hockey Fan Spend $x \pm t / \alpha / 2 ( \mathrm {~s} / \sqrt { n } )$