Pick the correct answer and give some explaination, i make it as one question becase its have simple asnwer A bank manager claims that there has been a change in the waiting time to be served by customer services. Previously, the average waiting time was 15 minutes. Someone wants to prove and test the manager's statement with a significance level of α. The critical areas for such testing are: Z ≤-Z alpha/2 and Z ≥ Z alpha/2  Z > -Z alpha and Z -Z alpha/2 and Z < Z alpha/2  Z < -Z alpha and Z > Z alpha Suppose that a bag of cement has weight that are normally distributed with a mean of 50 kg and a standard deviation of 1 kg. If a random sample of ten bags of cement is taken, the sample mean of the bag weight: Will be equal to 50.  Is equally likely to be smaller or larger than 50  Is more likely to be larger than 50 than smaller than 50 Is less likely to be larger than 50 than smaller than 50 In testing a hypothesis of two population means, if the t distribution is used, which of the following assumptions is required? The standard deviations are not the same. The sample sizes are equal. Both population means are the same.  Both populations are normally distributed

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Pick the correct answer and give some explaination, i make it as one question becase its have simple asnwer

A bank manager claims that there has been a change in the waiting time to be served by customer services. Previously, the average waiting time was 15 minutes. Someone wants to prove and test the manager's statement with a significance level of α. The critical areas for such testing are:

  1. Z ≤-Z alpha/2 and Z ≥ Z alpha/2
  2.  Z > -Z alpha and Z <Z alpha
  3.  Z > -Z alpha/2 and Z < Z alpha/2
  4.  Z < -Z alpha and Z > Z alpha

Suppose that a bag of cement has weight that are normally distributed with a mean of 50 kg and a standard deviation of 1 kg. If a random sample of ten bags of cement is taken, the sample mean of the bag weight:

  1. Will be equal to 50.
  2.  Is equally likely to be smaller or larger than 50
  3.  Is more likely to be larger than 50 than smaller than 50
  4. Is less likely to be larger than 50 than smaller than 50

In testing a hypothesis of two population means, if the t distribution is used, which of the following assumptions is required?

  1. The standard deviations are not the same.
  2. The sample sizes are equal.
  3. Both population means are the same.
  4.  Both populations are normally distributed

 

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