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In: Statistics and Probability

If a hypothesis test turns out to be statistically significant at the significance level of 0.01...

  1. If a hypothesis test turns out to be statistically significant at the significance level of 0.01 (meaning reject the null hypothesis at 0.01 significance level), it will also be significant at:  Circle your answer(s)​   

  1. Significant level of 0.05  
  2. Significant level of 0.001
  3. Significant level of 0.005
  4. Significant level of 0.1

  1. Which p-value would provide more evidence against the null hypothesis:

            p-value of 0.02 and p-value of 0.04. Explain your answer.  

  1. ATM machines must be stocked enough cash to satisfy customers making withdrawals over an entire weekend. However, if too much cash is kept in ATMs, the bank is forgoing the opportunities of investing the money to earn interests. Suppose that at a particular branch, the expected mean amount of money withdrawn from ATMs per customer over weekend is $160 and the population standard deviation of $30. If a random sample of 36 customers is examined and the sample mean withdrawal is $172, is there enough evidence to believe that average withdrawal is more than $160. Use the significance level of 0.05 to perform your test. Remember to perform all the steps.​   

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