A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than \($725\). In a random sample of 47 round trip flights from New York City to Los Angeles, the mean price is $712.

Assume the population standard deviation is \($133\). At α = 0.05, is there enough evidence to support the travel analyst’s claim?

(a) identify the claim and state H0 and Ha,

(b) find the critical value(s) and identify the rejection region(s),

(c) find the standardized test statistic z,

(d) decide whether to reject or fail to reject the null hypothesis, and

(e) interpret the decision in the context of the original claim.