Placement performance in a leading engineering college shows that mean CTC for the last few years has been Rs 48000 per month, with a standard deviation of Rs 2500 . The college is keen on improving the average CTC after new academic module is introduced based on industry requirements. The top management is of the opinion that the mean CTC will be greater and improvement is definitely expected. A data of 360 placed students for the year was considered and it was found that average CTC of these students was Rs 49000. a. It is to be determined whether the introduction of the new module has helped in enhancing the average CTC or not. Test at 5% level of significance. State the hypothesis clearly. Use sketch.  b. Had the significance level been 1% , what will be your conclusion?  c. What is the probability of committing

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Placement performance in a leading engineering college shows that mean CTC for the last few years has been Rs 48000 per month, with a standard deviation of Rs 2500 . The college is keen on improving the average CTC after new academic module is introduced based on industry requirements. The top management is of the opinion that the mean CTC will be greater and improvement is definitely expected. A data of 360 placed students for the year was considered and it was found that average CTC of these students was Rs 49000.
a. It is to be determined whether the introduction of the new module has helped in enhancing the average CTC or not. Test at 5% level of significance. State the hypothesis clearly. Use sketch. 
b. Had the significance level been 1% , what will be your conclusion? 
c. What is the probability of committing Type I error? 
d. If the actual mean hours was later found to be Rs.48800 has it lead to Type I or Type II error?  

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