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Let μ be the hourly wage (excluding tips) for workers who provide hotel room service in a large city. A random sample of a number (more than 30) of such workers yielded a 95% confidence interval for μ of $8.46 to $9.86 using the normal distribution with a known population standard deviation.

a) Find the value of x for this sample.

b.Find a 99% confidence interval for μ based on this sample.

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