The height of six randomly chosen sailors are (in inch): 63, 65, 68, 69, 71, 72. Those of 10 randomly chosen soldier’s are 61, 62, 65, 66, 69,70, 71, 72, 73. Discuss the light that these data thrown the suggestions that sailors are on the average toller than soldier’s.
Answers
To answer this question we need to get the average or rather the mean of the data given above.
The average height f the sailors will be given by :
Average = 1/n∑x
Where x is the entries and n the total number of entries.
The sum of the heights of the sailors is given by :
= (63 + 65 + 68 + 69 + 71 + 72)/6 = 408/6 = 68
The sample average height of the sailors is 68 inches.
The average height of the Soldiers is :
= (61 + 62 + 65 + 66 + 69 + 70 + 71 + 72 + 73)/10 = 609/10 = 60.9
The sample average height of the soldiers is 60.9 years.
From the sample averages we note that the average height of the sailors is higher than the average height of the soldiers hence the Sailors are averagely taller than the soldiers.
Answer:
The heights of six randomly chosen sailors are, in inches, 63, 65, 58, 69, 71 and 72. the heights of 10 randomly chosen soldiers are, in inches, 61, 62, 65, 66, 69, 69, 70, 71, 72 and 73. do these figures indicate that soldiers are on an average shorter than sailors? test at 5% level of significance