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For a sample of 60 men, taken from a population of more than 5,000 enrolled in...

For a sample of 60 men, taken from a population of more than 5,000 enrolled in a weight reduction program, the mean diastolic blood pressure of the sample is 101 and the standard deviation of the sample is 42. For a level of significance of 0.02, can you conclude that, on average, men enrolled in the program have a blood pressure that exceeds the value of 75 recommended by various medical societies?

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Answer #1

H0: <= 75 with 59 df =

Ha: > 75

Test statistics

t = - / S / sqrt(n)

= 101 - 75 / 42 / sqrt(60)

= 4.80

This is test statistics value.

Critical value at 0.02 level with 59 df = 2.100

Since test statistics value is greater than 2.100, we have sufficient evidence to reject H0.

We conclude at 0.02 level that we have enough evidence to support the claim.

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