A researcher conducted a correlational study to examine the relationship between high school GPA and extroversion. A group of high school students completed a measure of extroversion. The GPAs for these students was then obtained from their records. The appropriate statistical test to analyze the data in this study is

Pearson r test.

Step-by-step explanation:

Pearson's correlation coefficient is the statistical analysis which measures the statistical relationship between two continuous variables.

The Pearson correlation Coefficient, often denoted by "r" assumes values ranging between +1 to -1.

When the value of r equal 0 (r = 0), this means that there is no statistical relationship between the two variables.

When the value of r is greater than 0(r>0), this means a positive statistical relationship; that is, an increase in the value of one variable result in the increase of another.

When the value of r is less than 0(r<0), this means a negative statistical relationship; that is, an increase in the value of one variable result in the decrease of another.

The appropriate statistical test to analyze the data in the above correlational study to examine the relationship between high school GPA and extroversion is a Pearson r test.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

54.864 meters

step-by-step explanation: