Many people live under a lot of stress and various time constraints. Consequently, some people run out of the house without the keys, and are locked out. Rather than break into one’s own home, most...

Many people live under a lot of stress and various time constraints. Consequently, some people run out of the house without the keys, and are locked out. Rather than break into one’s own home, most people in these circumstances call a locksmith. In 2013, the mean service charge for a locksmith was $68.22 A random sample of 26 locksmith service charges in Black Springs, Arkansas, was obtained. The sample mean was $72.35. Assume the underlying population distribution is normal and that s = 15.5. Is there any evidence to suggest the mean locksmith service charge in this city is greater than $68? Use a = 0.05.

The Brunton Optimus Crux Camping Stove, a lightweight camping stove, is designed to accept a tri-blend fuel made of propane, iso-butane, and butane. The cartridges for this stove are sold with camping equipment, and the label indicates 225 grams of fuel. To check this claim, 52 cartridges were randomly selected and the amount of fuel in each was carefully measured. The sample mean was x =224.2 grams. a. Is there any evidence that the true mean amount of fuel in these cartridges is less than the advertised amount? Assume s = 3.6 and use a =.05.

b. What assumptions did you make in order to conduct the hypothesis test in part (a)?