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A researcher wants to estimate the average monthly income of individuals in a certain city....

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A researcher wants to estimate the average monthly income of individuals in a certain city. A random sample of 20 individuals is selected, and their monthly incomes (in dollars) are recorded as follows: Assuming the incomes are normally distributed, calculate the \90 confidence interval for the average monthly income of individuals in the city. Please show all the necessary steps and provide your answer with the appropriate interpretation. Hints: - Calculate the sample mean and sample standard deviation. - Determine the critical value ( \\( t \\)-value) for a \90 confidence level. - Calculate the margin of error using the critical value and sample standard deviation. - Calculate the lower and upper bounds of the confidence interval using the sample mean and margin of error. - Interpret the confidence interval in the context of the

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