According to a Yankelovich poll, women spend an average of 19.1 hours shopping d

Question

According to a Yankelovich poll, women spend an average of 19.1 hours shopping during the month of December, compared to 12.7 hours for men. Assuming that file XR11027 contains the survey data underlying these results, use the 0.01 level in examining whether the sample mean for women is significantly higher than that for men. Identify and interpret the p-value for the test (Assume unequal variances).

women men 13.9 11.9 27.6 15.9 11.6 17.9 21.0 12.6 20.9 12.1 20.3 10.5 9.7 11.9 15.6 16.5 22.5 11.2 26.4 5.3 17.0 14.4 23.2 16.3 13.1 10.8 22.1 10.5 21.6

Explanation / Answer

REsutls are as follows from where we have one-tailed p-value-=0.000351965 <0.01. So we conclude that the sample mean for women is significantly higher than that for men.

t-Test: Two-Sample Assuming Unequal Variances women men Mean 19.1 12.7 Variance 28.69714286 10.73230769 Observations 15 14 Hypothesized Mean Difference 0 df 23 t Stat 3.909614595 P(T<=t) one-tail 0.000351965 t Critical one-tail 2.499866739 P(T<=t) two-tail 0.000703931 t Critical two-tail 2.807335684

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.