Question

5. A New York Times article noted that the mean life span for a sample of 35 male symphony conductors was 73.4 years, in contrast to the mean of 69.5 years for males in the general population. The standard deviation for the sample of 35 conductors was 8.7 years. Use a 0.05 significance level to test the claim that male symphony conductors have a mean life span that is greater than 69.5 years. Does it appear that male symphony conductors live longer than males from the general population? What minitab output fits the data?

Null hypothesis H₀: μ = 69.5

Alternative hypothesis H₁: μ > 69.5

Z-Value     P-Value

2.65         0.004

OR

Null hypothesis H₀: μ = 69.5

Alternative hypothesis H₁: μ > 69.5

T-Value        P-Value

2.65           0.006

Answer 1

Here population standard deviation is not known so we will use t distribution for this hypothesis

So answer here is

Null hypothesis H₀: μ = 69.5

Alternative hypothesis H₁: μ > 69.5

T-Value        P-Value

2.65           0.006