Question

The average age at marriage in the United State is 27.2 for men. In a random sample of n = 50 Indiana married men, the average age at marriage was x̅ = 26.5 with a standard deviation of s = 2.8 years.

Does this sample provide a significant evidence that the average age at marriage among Indiana men is below the national average?
								State the null and alternative hypotheses and compute the test statistic. For the decision rule use α = 0.05. The test statistic is,
|TS| = _______.
2.21. DNR H₀. Do not conclude that the average age at marriage for Indiana men is below the national average
								2.21. Reject H₀. Conclude that the average age at marriage for Indiana men is below the national average
1.77. DNR H₀. Do not conclude that the average age at marriage for Indiana men is below the national average
								1.77. Reject H₀. Conclude that the average age at marriage for Indiana men is below the national average

Answer 1

H0: = 27.2

Ha: < 27.2

Test statistics

t = ( - ) / (S / sqrt(n) )

= ( 26.5 - 27.2) / (2.8 / sqrt(50) )

= -1.77

t critical value at 0.05 level with 49 df = -1.677

Since test statistics < -1.677 , Reject H0.

Conclusion - Reject H0. Conclude that the average age at marriage for Indiana men is below the national average