3. In recent years, a growing array of entertainment options competes for consum

Question

3. In recent years, a growing array of entertainment options competes for consumer time. y 2004, cable television and radio surpassed broadcast television, recorded music and the daily newspaper to become the two entertainment media with the greatest usage (The Wall Street Journal, January 26, 2004). Researchers used a sample of 15 individuals and collected data on the hours per week spent watching cable television and hours per week spent listening to the radio. Individual Television Radio 10 29 19 13 28 23 21 21 23 15 18 17 15 23 25 12 26 ? 21 10 14 14 12 13 16 24 15 Use a .05 level of significance and test for a difference between the populatio mean usage for cable television and radio. What is the p-value? (You must st Ho and Ha, and compute the test statistic.) Provide a 95% confidence interval estimate of the difference between the population mean usage for cable television and radio. a. b. ue date: Nov 6, at the beginning of the lecture.

Explanation / Answer

SolutionA:

H0:1=2

Ha:1 2

two tail t test

alpha=0.05

t=diff in emans/std erro

test statitsic=t=-0.606

p=0.5491

p>0.05

Fail to reject Null hypothesis

Accept Null Hypothesis

There is no sufficient statitstical evidence at 5% level of signiifcance to conclude that there exists difference in mean usage for cable televeison and radio.

t-Test: Two-Sample Assuming Equal Variances television radio Mean 18.8 20 Variance 29.31429 29.42857 Observations 15 15 Pooled Variance 29.37143 Hypothesized Mean Difference 0 df 28 t Stat -0.60639 P(T<=t) one-tail 0.274572 t Critical one-tail 1.701131 P(T<=t) two-tail 0.549144 t Critical two-tail 2.048407

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

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