Question

Do 9-year-old boys and girls have different average height? Please answer the question by performing an appropriate hypothesis test at the 10% significance level based on the sample results below:

Boys: n1= 60, 1x=123, S1= 10

Girls: n2= 50, 1x=126, S2= 1

Really need by 3pm pacfic today! thank you so much !!

Answer 1

SOLUTION-

LET BE THE AVERAGE HEIGHT OF 9-YEAR OLD BOYS AND BE THE AVERAGE HEIGHT OF 9-YEAR OLD GIRLS.

A SAMPLE IS COLLECTED FOR BOYS AND GIRLS OF 9-YEARS AND SUMMARISED AS FOLLOW-

GENDER	SAMPLE SIZE	SAMPLE MEAN	SAMPLE SD
BOYS	60	123	10
GIRLS	50	126	1

WE WANT TO SEE IF AVERAGE HEIGHTS DIFFER SIGNIFICANTLY AT 0.1 LEVEL OF SIGNIFICANCE. THE HYPOTHESIS STATED WOULD BE-

WE PERFORM A TWO SAMPLE-T TEST AS THE DATA ARE INDEPENDENT AND USE MINITAB 16 TO PERFORM THE HYPOTHESIS TESTING.

STEPS- STAT> BASIC STATISTICS> TWO SAMPLE-T> ENTER THE SUMMARIZED DATA> UNDER 'OPTIONS', SET THE CONFIDENCE LEVEL AS 90.0 AND ALTERNATE AS 'NOT EQUAL'> OK

OBSERVATION-

THE TEST STATISTIC OBTAINED IS, T=-2.31

THE CORRESPONDING P-VALUE IS = 0.024

AS P-VALUE < LEVEL OF SIGNIFICANCE, WE REJECT THE NULL HYPOTHESIS AND CONCLUDE THAT AVERAGE HEIGHTS OF 9-YEAR OLD BOYS AND GIRLS DIFFER SIGNIFICANTLY.

**REMARK**- IN CASE OF DOUBT, COMMENT BELOW. ALSO LIKE THE SOLUTION, IF POSSIBLE.