In a certain city, a researcher wishes to determine whether the average age of its citizens is really 61.2 years, as the mayor claims. A sample of 22 residents has an average age of 59.8 years. The standard deviation of the sample is 1.5 years. At a = 0.01, is the average age of the residents really 61.2 years? Assume that the variable is approximately normally distributed. Construct a corresponding confidence interval for the population parameter.

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3. In a certain city, a researcher wishes to determine whether the
average age of its citizens is really 61.2 years, as the mayor claims.
A sample of 22 residents has an average age of 59.8 years. The
standard deviation of the sample is 1.5 years. At a = 0.01, is the
average age of the residents really 61.2 years? Assume that the
variable is approximately normally distributed. Construct a
corresponding confidence interval for the population parameter.
Transcribed Image Text:3. In a certain city, a researcher wishes to determine whether the average age of its citizens is really 61.2 years, as the mayor claims. A sample of 22 residents has an average age of 59.8 years. The standard deviation of the sample is 1.5 years. At a = 0.01, is the average age of the residents really 61.2 years? Assume that the variable is approximately normally distributed. Construct a corresponding confidence interval for the population parameter.
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