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To test the belief that sons are taller than their fathers , a student randomly selects 13 fathers who have adult male children . She records the height of both the father
and son in inches and obtains the following data . Are sons taller than their fathers ? Use the * = 0 . 10 level of significance . Note : A normal probability plot and boxplot of
the data indicate that the differences are approximately normally distributed with no outliers .
Click the icon to view the table of data .
Which conditions must be met by the sample for this test ? Select all that apply .
A . The sample size is no more than 5% of the population size .
B . The sampling method results in a dependent sample .
DC. The differences are normally distributed or the sample size is large . D. The sample size must be large . E . The sampling method results in an independent sample*
Letd =* - Y;. Write the hypotheses for the test
HO :
Hy :
Calculate the test statistic .
In = | | | Found to two decimal places as needed . !

Calculate the test statistic .
to =\\ Round to two decimal places as needed . !
Calculate the P-value*
P-value = | | | Found to three decimal places as needed .!
Should the null hypothesis be rejected ?
*\ Ho because the P- value is
I the level of significance . There*
sufficient evidence to conclude that sons
I their fathers at the 0 . 10 level of significance .

1) B.  The sampling method results in a dependent sample C. The differences are normally distributed on... View the full answer

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