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Chapter 10: Q.82 (page 601)

Marketing companies have collected data implying that teenage girls use more ring tones on their cellular phones than

teenage boys do. In one particular study of 40 randomly chosen teenage girls and boys (20 of each) with cellular phones,

the mean number of ring tones for the girls was 3.2 with a standard deviation of 1.5. The mean for the boys was 1.7 with

a standard deviation of 0.8. Conduct a hypothesis test to determine if the means are approximately the same or if the girls鈥�

mean is higher than the boys鈥� mean.

Short Answer

Expert verified

If we take 伪=0.05,we can see that 伪>蚁-value.this means we reject the null hypothesis. Thus, at the 5% significance level, there is sufficient evidence to conclude that the mean number of ringtones for girls is higher than that for boys.

Step by step solution

01

Given Information

The data is given by:

we need to test these hypotheses:

H0:渭G=渭尾,H1:渭G>渭尾

x1-X2is the difference between the mean number of ringtones for girls and boys.

We are using Student t-test for testing our hypothesis.

02

 Explanation 

SE=s12n1+s22n2=0.1445=0.38.

The test statistic is given by:

渭1渭1-渭2SE=3路9474

Finding the number degrees of freedom :

df=df=SE=SE4s14n12(n1-1)+s22n22(n2-1)=SE40.00072=28.96

Using the above formula we getp-valueis0.00023

03

Graphical representation 

following are the graph

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Most popular questions from this chapter

Two computer users were discussing tablet computers. A higher proportion of people ages 16to 29use tablets than the proportion of people age 30and older. Table localid="1653641949025" 10.28details the number of tablet owners for each age group. Test at the localid="1653641953436" 1%level of significance.

Table.localid="1653641957518" 10.28


localid="1653641961619" 16-29years oldlocalid="1653641966431" 30years old and older
Own table69231
Sample size6282309

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At the 1 % significance level, what is your conclusion?

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What is the test statistic?

Use the following information to answer the next 15 exercises: Indicate if the hypothesis test is for

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b. independent group means, population standard deviations, and/or variances unknown

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