Question: . Use the data on education in the table below to answer the questions. Mean Standard deviation N Lower class 11.5 2.5 123 Working class

. Use the data on education in the table below to answer the questions.

Mean

Standard deviation

N

Lower class

11.5

2.5

123

Working class

12.7

2.3

697

Middle class

14.1

3.3

683

Upper class

15.6

2.1

38

  1. Construct a 90% confidence interval for the mean number of years of education for middle class respondents. Interpret the result.

  1. Construct a 90% confidence interval for the mean number of years of education for upper class respondents. Interpret the result.

  1. Did middle class respondents differ from upper class respondents in their average number of years of education? Explain your answer.

  1. If our sample size for middle class respondents was 200 instead of 683, how would the size of our interval change? You don`t have to calculate it, just explain your answer.

  1. If we used the 99% confidence level to construct a confidence interval for middle-class respondents, how would the size of the interval change? You don`t have to calculate it, just explain your answer.

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