Question

#6

Compute the value of the test statistic for the indicated test, based on the information given.

1. Testing H0:μ=342H0:μ=342 vs. Ha:μ<342Ha:μ<342, σ = 11.2, n = 40, x⎯⎯=339x-=339, s = 10.3
2. Testing H0:μ=105H0:μ=105 vs. Ha:μ>105Ha:μ>105, σ = 5.3, n = 80, x⎯⎯=107x-=107, s = 5.1
3. Testing H0:μ=−13.5H0:μ=−13.5 vs. Ha:μ≠−13.5Ha:μ≠−13.5, σ unknown, n = 32, x⎯⎯=−13.8x-=−13.8, s = 1.5
4. Testing H0:μ=28H0:μ=28 vs. Ha:μ≠28Ha:μ≠28, σ unknown, n = 68, x⎯⎯=27.8x-=27.8, s = 1.3

Answer 1

6)

a)

The test statistic is given by:

{z-statistic because population standard deviation is known}

b)

The test statistic is given by:

{z-statistic because population standard deviation is known}

c)

The test statistic is given by:

{t-statistic because population standard deviation is not known}

d)

The test statistic is given by:

{t-statistic because population standard deviation is not known}