You are working for a government department and your boss, Jane, has asked you to calculate some results on weekly household income across the state, including a 95% confidence interval for the mean weekly household income that she needs to include in a report. She also says that she is not sure exactly what a 95% confidence interval means and would like you to add an explanation.

You have been supplied with a sample of weekly income figures for 110 households. The data is presented here:

1310,

1857,

1320,

2058,

849,

1595,

917,

1077,

1837,

1724,

1763,

2048,

1627,

2183,

2393,

2197,

2121,

2017,

1108,

2082,

2203,

1507,

2184,

2063,

1540,

1735,

1640,

2240,

1580,

1792,

1170,

1283,

1332,

1089,

1505,

2257,

1836,

1825,

1437,

1726,

2023,

981,

2157,

1261,

1641,

2248,

1689,

1559,

1906,

2286,

2299,

1197,

1959,

2310,

1735,

1555,

1443,

2214,

1501,

1569,

1593,

2076,

1601,

1942,

1851,

1523,

1752,

1685,

1828,

2523,

1210,

1055,

2069,

990,

1903,

1315,

1885,

392,

1642,

2261,

965,

1393,

2164,

1339,

849,

1837,

1125,

1745,

1789,

2038,

1541,

1994,

1820,

1508,

1523,

789,

1597,

1890,

1052,

1315,

1596,

1633,

1631,

1437,

1621,

1739,

2085,

1680,

1720,

1709

Historically, the standard deviation in weekly household income is $429.

Complete the report to your boss. Give your numeric answers to 2 decimal places.

Assuming a population standard deviation in weekly household income of $429, the 95% confidence interval for the mean weekly household income is:

a)________ _______