Question

The heights of 8 males participating in an athletic championship are found to be 175 cm, 168 cm, 165 cm, 170 cm, 167 cm, 160 cm, 173 cm and 168 cm. Can we conclude that the average height is greater than 165 cm? Test at 5% level of significance

Answer 1

Yes, we can conclude that the average height is greater than 165 cm.

Step-by-step explanation:

The heights of 8 males participating in an athletic championship are found to be 175 cm, 168 cm, 165 cm, 170 cm, 167 cm, 160 cm, 173 cm and 168 cm.

So, the total of their heights

= (175 + 168 + 165 + 170 + 167 + 160 + 173 + 168) cm

= 1346 cm

Total number of males = 8

So, the average height

= (1346 ÷ 8) cm

= 168.25 cm > 165 cm

Thus we can conclude that the average height is greater than 165 cm.

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