Question

An operational hypothesis H0is that we have a normal process with mean and standard deviation. We...

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

Homework Answers

Answer #1

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:

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