Researchers wanted to explore self-esteem in adolescent boys and adolescent girls. each respondent completed a 10-item self-esteem scale (they chose one rating for each item from a likert-type scale, 1 = strongly disagree and 5 = strongly agree). the sum of the 10 ratings was each respondent's self-esteem score. their results were: t = 2.01, d = .90 (40 girls, 40 boys).what statistical test did the researchers use to determine if there was a statisticallysignifcant di±erence in levels of self-esteem between the boys and the girls?

The statistical tests that researchers use to determine if there was a statisticallysignificant difference in levels of self-esteem between the boys and the girls were the T-test and Cohen's d.

Step-by-step explanation:

A statistical test is utilized to evaluate differences between groups (in this case, between boy and girls). The dependent variable was the self-esteem while the independent variable was the sex. A T-test is utilized to establish differences in the mean of two groups. The null hypothesis for a T-test is that means of the groups are the same; the statistical value is t. A Cohen's d test indicates standardized differences between the mean of both groups. It usually accompanies a T-test result; the statistical value is d.

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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