Suppose that the mean age of women hospitalized for cardiovascular reasons in 19

Question

Suppose that the mean age of women hospitalized for cardiovascular reasons in 1960 was 68 years. Also, suppose in 2005 a random sample of 36 female cardiovascular patients had a mean age of 70 years and a standard deviation of 6 years. At a signficance level of a = 0.05, does it seem that the average age of female cardiovascular hospitalizations has increased since 1960? Conduct a hypothesis test and report your null and alternative hypothesis, your test static value, your critical value or p-value, and your conclusion.

Explanation / Answer

Data:    

n = 36   

= 68   

s = 6   

x-bar = 70   

Hypotheses:    

Ho: 68   

Ha: > 68   

Decision Rule:    

= 0.05   

Degrees of freedom = 36 - 1 = 35

Critical t- score = 1.68957244   

Reject Ho if t > 1.68957244   

Test Statistic:    

SE = s/n = 6/36 = 1

t = (x-bar - )/SE = (70 - 68)/1 = 2

p- value = 0.026653825   

Decision (in terms of the hypotheses):    

Since 2 > 1.68957244 we reject Ho and accept Ha

Conclusion (in terms of the problem):    

It appears that the average age has increased.  

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