Question

Do skiers spend less than golfers on their vacations? To help answer this question, a travel ag surveyed 51 customers who regularly take their partners on a skiing vacation and 51 customer regularly take their partners on a golf vacation. The amounts spent on vacations last year are : in the following table. Perform an appropriate hypothesis test and use a significance level of 0 \begin{tabular}{|l|c|c|c|} \hline & \( n \) & Average & Standard deviation \\ \hline Skiers (S) & 51 & 2969 & 356 \\ \hline Golfers (G) & 51 & 3124 & 736 \\ \hline Difference (d = S - G) & 51 & -155 & 627 \\ \hline \end{tabular} (a) What are the null and alternative hypotheses? \( H_{0}: \mu S-\mu G \leqslant \) \( H_{A}: \mu S-\mu G \leqslant \) \( <\leqslant \) (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) \( \square \) -1.354 Your last answer was interpreted as follows: \[ -1.354 \] (c) Using the statistical table, the p-value is p -value \( >0.10 \) \( \square \) (d) Based on the p-value, the travel agency should fail to reject the null hypothesis.

          Do skiers spend less than golfers on their vacations? To help answer this question, a travel ag surveyed 51 customers who regularly take their partners on a skiing vacation and 51 customer regularly take their partners on a golf vacation. The amounts spent on vacations last year are : in the following table. Perform an appropriate hypothesis test and use a significance level of 0
\begin{tabular}{|l|c|c|c|}
\hline & \( n \) & Average & Standard deviation \\
\hline Skiers (S) & 51 & 2969 & 356 \\
\hline Golfers (G) & 51 & 3124 & 736 \\
\hline Difference (d = S - G) & 51 & -155 & 627 \\
\hline
\end{tabular}
(a) What are the null and alternative hypotheses?
\( H_{0}: \mu S-\mu G \leqslant \)
\( H_{A}: \mu S-\mu G \leqslant \)
\( <\leqslant \)
(b) What is the test statistic? (Round your answer to 3 decimal places, if needed.)
\( \square \)
-1.354
Your last answer was interpreted as follows:
\[
-1.354
\]
(c) Using the statistical table, the p-value is p -value \( >0.10 \)
\( \square \)
(d) Based on the p-value, the travel agency should fail to reject the null hypothesis.

Do skiers spend less than golfers on their vacations? To help answer this question, a travel ag surveyed 51 customers who regularly take their partners on a skiing vacation and 51 customer regularly take their partners on a golf vacation. The amounts spent on vacations last year are : in the following table. Perform an appropriate hypothesis test and use a significance level of 0

n Average Standard deviation

Skiers (S) 51 2969 356

Golfers (G) 51 3124 736

Difference (d = S - G) 51 -155 627

(a) What are the null and alternative hypotheses?
H0: μ S-μ G ⩽
HA: μ S-μ G ⩽
<⩽
(b) What is the test statistic? (Round your answer to 3 decimal places, if needed.)
□
-1.354
Your last answer was interpreted as follows:

-1.354

(c) Using the statistical table, the p-value is p -value >0.10
□
(d) Based on the p-value, the travel agency should fail to reject the null hypothesis.

Added by Cassie B.

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