Question

In: Statistics and Probability

1,867 1,191 1,899 1,292 1,596 1,000 1,286 2,198 1,156 1,921 1,873 4,814 3,452 960 2,174 1,451...

1,867
1,191
1,899
1,292
1,596
1,000
1,286
2,198
1,156
1,921
1,873
4,814
3,452
960
2,174
1,451
1,327
2,470
1,966
1,511
1,066
2,815
1,066
3,190
1,128
3,339
1,278
1,288
1,602

Please help me find the 95 and 99 percent confidence intervals

Solutions

Expert Solution

From the given sample data :

The sample size is , n=29

The sampe mean is ,

The sample standard deviation is ,

Now , df=degrees of freedom=n-1=29-1=28

a) The significance level is , =0.05

The critical value is , ;From t-table

Therefore , the 95% confidence interval is ,

b) The significance level is , =0.01

The critical value is , ;From t-table

Therefore , the 99% confidence interval is ,


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