A manager of an ABC bank branch office located in a city make an efforts to improve their customer service processes. Manager claims that his attempts have led to customer waiting times decreased to less than 5 minutes. To prove it he took random sample of 15 customers and observed the waiting time, the result is as follows: 4.21   5.55   3.02   5.13   4.77   2.34   3.54   3.20   4.50   6.10   0.38 5.12   6.46   6.19   3.79 a. Write down the null hypothesis and the alternative hypothesis to be tested b. At the 0.05 significance level, determine the critical value c. Determine the statistical test d. Explain the conclusion e. Determine the 95% confidence interval for μ , and explain the meaning of it.

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A manager of an ABC bank branch office located in a city make an efforts to improve their customer service processes. Manager claims that his attempts have led to customer waiting times decreased to less than 5 minutes. To prove it he took random sample of 15 customers and observed the waiting time, the result is as follows:

4.21   5.55   3.02   5.13   4.77   2.34   3.54   3.20   4.50   6.10   0.38
5.12   6.46   6.19   3.79

a. Write down the null hypothesis and the alternative hypothesis to be tested

b. At the 0.05 significance level, determine the critical value

c. Determine the statistical test

d. Explain the conclusion

e. Determine the 95% confidence interval for μ , and explain the meaning of it.

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