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A study by a bank compared the mean savings of customers who were depositors for three...

  1. A study by a bank compared the mean savings of customers who were depositors for three years or less with those who had been depositors for more than three years. The results of a sample are as follows.

    ≤ 3 Years > 3 Years
    Mean Savings Balance $1200 $1250
    Population Standard Deviation $100 $150
    Sample Size 100 150

    Assuming that the financial officer wants to show that there is a difference in the average savings balance between the two classes of depositors.
  • Based on the computed value of the test statistics at the 0.05 significance level what is your conclusion?
  • What is the p-value? Based on the p-value what is your conclusion?
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Answer #1

Ho :

Ha :

Given

Therefore

Hence, Reject Ho. which means the difference in the average savings balance between the two classes of depositors is NOT ZERO

So, there exists a difference between saving balance of the the two classes.

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