Suppose that the length of unemployment for laid off workers is normally distributed with an unknown mean and standard deviation. A random sample of33

unemployed workersis taken and gives a sample mean of90

days before securing a new joband a sample standard deviation of10

days.

df

...

31

32

33

34

35

t

0.10

...

1.309

1.309

1.308

1.307

1.306

t

0.05

...

1.696

1.694

1.692

1.691

1.690

t

0.025

...

2.040

2.037

2.035

2.032

2.030

t

0.01

...

2.453

2.449

2.445

2.441

2.438

t

0.005

...

2.744

2.738

2.733

2.728

2.724

Find the margin of error, for a90%

confidence interval estimate for the population mean using the Student'st

-distribution.

• Use the portion of the table above. Round the final answer to two decimal places.