An astronomer collects data on the distance from Earth and t

An astronomer collects data on the distance from Earth and the velocity of recession of several dozen galaxies. Which of the following statements is not true? Ten pairs of chicks were selected to test the effect of a vitamin supplement on early growth. The chicks in each pair were siblings of high birth weight. One chick in each pair was given the supplement and the other was not. After two weeks, the weight of each chick was recorded. The researcher would like to test the research hypothesis that the supplement increases the growth rate of chicks in the first weeks after hatching against the null hypothesis that it has no effect. The most appropriate test would be Scores on a nationwide professional qualifying exam are normally distributed and have a population mean of 600 and a population standard deviation of 50. An examinee scored 615 on the exam. At what percentile was this examinee\'s score?

Solution

8.

OPTION D: A significant correlation between these two variables would establish a causal relationship between them.

This is false becasue correlation does not imply causality.

************************

9.

As there is natural pairing, then

OPTION B: The paired sample student t-test [ANSWER]

**************************

10.

We first get the z score for the critical value. As z = (x - u) / s, then as          
          
x = critical value =    615      
u = mean =    600      
          
s = standard deviation =    50      
          
Thus,          
          
z = (x - u) / s =    0.3      
          
Thus, using a table/technology, the left tailed area of this is          
          
P(z <   0.3   ) =    0.617911422 or 61.79th percentile [ANSWER]