You have a falafel cart and you sell falafel every weekday near Washington Square Park during...

You have a falafel cart and you sell falafel every weekday near Washington Square Park during lunch time. Your daily revenue is normally distributed with a mean of $200 and a standard deviation of $50.

(a) Suppose there is another location that might be worth switching to. You plan to experiment with selling there for awhile, and then use a hypothesis test to determine whether you should switch. If the new location has a normally distributed revenue with a true mean of 210 and a standard deviation of 50, how many days would you have to try selling there to have a power of 50%. Use an α = .05 (significance level).

(b) Suppose you try selling at another location for 16 days, and on average you sell $220 worth of falafel with a sample standard deviation of $36 Using an α = .05, test whether the new location is worth switching to.

Solutions

Expert Solution

(A)

New location will be worth if revenue seems to be increase in new location so we need to test whether average revenue is greater than 200. That is test will be right tailed.

(B)

orchestra answered 2 years ago

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