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Chapter 8: Q. 9.113 (page 389)

TV Viewing. According to Communications Industry Fore cast & Report, published by Veronis Suhler Stevenson, the average person watched 4.55hours of television per day in 2005. A random sample of 20people gave the following number of hours of television watched per day for last year.

At the 10%significance level, do the data provide sufficient evidence to conclude that the amount of television watched per day last year by the average person differed from that in 2005? (Note: x=4.760hours,s=2.297hours)

Short Answer

Expert verified

Since the p-value is greater than the level of significance 0.10, do not reject the null hypothesis and conclude that the amount of television watched per day last year by the average person did not differ from that in 2005.

Step by step solution

01

Step 1. Given information is: 

The sample data for number of hours of television watched per day for last year is given.

x炉=4.760hourss=2.297hours

Test whether the sample mean is 4.55or not.

02

Step 2. Calculating P-value 

Thenullandalternativehypothesisare:H0:渭=4.55,H1:渭鈮�4.55Teststatic,t=x炉-渭snt=4.760-4.552.29720=0.409Thelevelofsignificanceis10%or0.10Thedegreesoffreedom,df=20-1=19Theformulaandcalculationofp-valueinexcelisasshownbelow:

The p-value is 0.6871

03

Step 3. Result

Since the p-value is greater than the level of significance 0.10, do not reject the null hypothesis and conclude that the amount of television watched per day last year by the average person did not differ from that in 2005.

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