Researchers randomly selected 36 children who had been identified as gifted from a large city. The IQ of each child and the IQ of the child's mother were measured. You will perform a statistical analysis to determine if IQs of gifted children tend to be higher than their mothers' IQ on average. The mean difference in IQ (child - mother) was 3.22 points, with a standard deviation of 7.41 points. A dotplot of these differences follows.
-The standardized statistic for these data is 2.61. How would you use this value to find a theory-based p-value for the study?
A) Find the area under a t-distribution with 35 degrees of freedom to the right of 2.61.
B) Find the area under a t-distribution with 35 degrees of freedom to the left of 2.61.
C) Add the area under a t-distribution with 35 degrees of freedom to the right of 2.61 and the area to the left of -2.61.
D) Find the area under a standard normal distribution to the right of 2.61.
E) Find the area under a standard normal distribution to the left of 2.61. F. Add the area under a standard normal distribution to the right of 2.61 and the area to the left of -2.61.

Question

Researchers randomly selected 36 children who had been identified as gifted from a large city. The IQ of each child and the IQ of the child's mother were measured. You will perform a statistical analysis to determine if IQs of gifted children tend to be higher than their mothers' IQ on average. The mean difference in IQ (child - mother) was 3.22 points, with a standard deviation of 7.41 points. A dotplot of these differences follows. 
-The standardized statistic for these data is 2.61. How would you use this value to find a theory-based p-value for the study?
A) Find the area under a t-distribution with 35 degrees of freedom to the right of 2.61. 
B) Find the area under a t-distribution with 35 degrees of freedom to the left of 2.61. 
C) Add the area under a t-distribution with 35 degrees of freedom to the right of 2.61 and the area to the left of -2.61. 
D) Find the area under a standard normal distribution to the right of 2.61. 
E) Find the area under a standard normal distribution to the left of 2.61. F. Add the area under a standard normal distribution to the right of 2.61 and the area to the left of -2.61.

Quizplus · Accepted Answer

The Answer of Researchers randomly selected 36 children who had been identified as gifted from a large city. The IQ of each child and the IQ of the child's mother were measured. You will perform a statistical analysis to determine if IQs of gifted children tend to be higher than their mothers' IQ on average. The mean difference in IQ (child - mother) was 3.22 points, with a standard deviation of 7.41 points. A dotplot of these differences follows. 
-The standardized statistic for these data is 2.61. How would you use this value to find a theory-based p-value for the study?
A) Find the area under a t-distribution with 35 degrees of freedom to the right of 2.61. 
B) Find the area under a t-distribution with 35 degrees of freedom to the left of 2.61. 
C) Add the area under a t-distribution with 35 degrees of freedom to the right of 2.61 and the area to the left of -2.61. 
D) Find the area under a standard normal distribution to the right of 2.61. 
E) Find the area under a standard normal distribution to the left of 2.61. F. Add the area under a standard normal distribution to the right of 2.61 and the area to the left of -2.61.

Researchers Randomly Selected 36 Children Who Had Been Identified as Gifted