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Part III: Hypothesis Testing Confidence Interval Approach Construct a (1-0)100% confidence interval to estimate the parameter of interest. Use it to perform a hypothesis test.

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Part III: Hypothesis Testing Confidence Interval Approach Construct a (1-0)100% confidence interval to estimate the parameter of interest. Use it to perform a hypothesis test. Many bank employees are paid by the hour. Consider a small bank called BBBanking which is currently hiring. During the interviewing process, BBBanking's manager indicates that it pays its hourly tellers comparable to any other bank. To ensure he is making an accurate statement, he collects a random sample of full-time hourly tellers' wages. Here are their wages (in dollars per year). 21,985 17,531 17,254 18,575 20.688 18.082 17.392 19,282 19,114 18,418 19,077 19,626 22,753 16,750 Suppose the wages are normally distributed with standard deviation $2000. In addition, it is known that other banks pay their tellers an average of $20,000 per year. Use Excel to find the following (enter the data in column A). HD M = Construct a 95% CI to estimate the true average wage for BBBanking's full-time hourly tellers. NOTE: Excel can be used to find the MOE using the formula = CONFIDENCE.NORM(a, 6, ") Perform a hypothesis test to determine if BBBanking pays its workers differently than other banks. State the null hypothesis: Ho: State the alternative hypothesis: Ha: Is this a one-tailed or two-tailed test? 2 Find the confidence interval: Make a decision (circle one): Reject Ho Do Not Reject He How did you make your decision? Briefly explain. Conclusion

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