An operational hypothesis H0is that we have a normal process with mean and standard deviation. We wish to test whether or not data (given in cell A1:A100) comes from this process. We will have three different tests. where, mean: -4.48, std dev: 4.86, average: -3.84
Test 1:
What is the lower and upper bound for symmetric 90% confidence interval of average?
Is data average in this confidence interval?
Test 2:
What is the upper bound for 90% one-sided left confidence interval of average?
is data average in this confidence interval?
Test 3:
What is the lower bound for 90% one-sided right confidence interval of average?
Is data average in this confidence interval?
Data of cell (A1:A100)
-5.12 |
4.36 |
-11.22 |
-10.53 |
-2.08 |
-3.01 |
7.08 |
-7.08 |
5.15 |
-13.38 |
-5.36 |
-1.82 |
-7.31 |
-5.00 |
2.59 |
-0.78 |
-10.69 |
-4.56 |
-3.19 |
-2.38 |
-2.47 |
-11.25 |
-1.42 |
-8.21 |
-6.37 |
-5.75 |
-2.28 |
-15.10 |
-8.17 |
-8.64 |
-8.69 |
-4.77 |
-0.11 |
-3.35 |
-0.80 |
-0.99 |
-1.98 |
-0.85 |
-0.73 |
-7.58 |
-4.51 |
-10.72 |
-6.65 |
-2.58 |
-2.26 |
-6.43 |
-4.67 |
-4.44 |
1.99 |
-9.24 |
-11.79 |
1.73 |
-5.46 |
-4.81 |
-3.71 |
-0.51 |
-9.82 |
6.64 |
3.81 |
0.95 |
-8.91 |
-5.88 |
-0.79 |
3.00 |
-10.75 |
-2.93 |
-1.81 |
6.70 |
-4.03 |
1.09 |
3.43 |
-9.72 |
-10.16 |
4.95 |
-7.71 |
-12.56 |
-1.59 |
-1.24 |
2.93 |
0.61 |
-3.87 |
-4.54 |
-4.00 |
-7.77 |
-11.33 |
1.32 |
-5.84 |
-5.75 |
3.68 |
-13.33 |
1.35 |
-3.02 |
-9.45 |
-0.83 |
-3.42 |
-9.57 |
2.48 |
-6.74 |
2.26 |
-4.02 |
Sample Size, n= 100
Sample mean, = -3.84
Population standard deviation, = 4.86
Test 1:
At = 0.10, the critical value of a two sided test, = 1.645
90% confidence interval:
Yes, the data average is in this confidence interval.
Test 2:
At = 0.10, the critical value of a left sided test, = -1.28
90% confidence interval for left sided test:
Test 3:
At = 0.10, the critical value of a right sided test, = +1.28
90% confidence interval for right sided test:
Get Answers For Free
Most questions answered within 1 hours.