Question

Part A: Hypothesis Testing on the Mean-Variance Known

Implement the following one-sided upper hypothesis test:

H₀: μ = -0.66

H₁: μ > -0.66

The data values for this test are below:

-0.12

-1.52

-1.00

2.28

-1.21

0.74

-2.46

-2.65

-1.26

0.28

2.91

-2.36

-2.35

0.69

0.64

3.26

The number of values is 16. The population standard deviation is σ = 1.70. What is the P-value for this test?

Answer 1

For the given sample mean is

So the test statistics is z (as population standard deviation is known)

Now as alternative hypothesis have greater than sign P value is

So answer is 0.172