The average length a band spends on stage in a rock concert is normally distributed with a mean of 55 minutes. The American band Manowar, who have been playing dozens of concerts every year for about 40 years, claims that their shows are more cost-effective for their fans because their concerts, on average, last longer than the typical rock concert. To test this, a magazine takes a random sample of 24 Manowar concerts and find the average length Manowar spends on stage to be 74 minutes with a standard deviation of 16 minutes Check the conditions for this Hypothesis Test and set up the Hypotheses:

Conditions:

1. The sample is

2. The sample size is

3. Select is likely less than 5% of ..

(Independent sample) Hypotheses: H : Select H : Select Based on the conditions, should this Hypothesis Test be conducted by the magazine in its current state?