Question

In: Statistics and Probability

The heights of a simple random sample of soccer players in a particular league are given...

The heights of a simple random sample of soccer players in a particular league are given below. Can you conclude at the 5% level of significance, that the average height of soccer players in the league sampled is over 182 cm? Assume that the heights of soccer players is normal.

Show all of your work, include all necessary steps, and be complete in your answer and explanation.

193

190

185.3

193

172.7

180.3

186

188

Expert Solution

The table given below

	X
	193	48.47641
	190	15.70141
	185.3	0.543906
	193	48.47641
	172.7	177.8889
	180.3	32.91891
	186	0.001406
	188	3.851406
Sum	1488.3	327.8588

From table ,

Sample size=n=8

The sample mean is ,

The sample standard deviation ,

Hypothesis : Vs ( Claim )

The test statistic is ,

d.f.=degrees of freedom=n-1=8-1=7

The critical value is ,

; From t-table

Decision : Here , the value of the test statistic does not lies in the rejection region.

Therefore , do not reject Ho.

Conclusion : Hence , there is not sufficient evidence to support the claim that the average height of soccer players in the league sampled is over 182 cm.

orchestra answered 1 year ago

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