For the following problem: 1) state your hypotheses 2) draw/paste a graph showing the critical z-scores and the rejection region 3) calculate z-obtained 4) make a conclusion 1. The average monthly spending on gasoline in New York State is $85 per person. A random sample of 453 respondents living in Albany area revealed that they spend, on average, $83 on fuel each month, with a standard deviation of 20. Do Albany residents spend different amount of money on fuel compared to the NYS average? Use α=0.05.

12.) The FAA has to periodically revise their rules regarding weight estimates. Airlines use anestimate for the weight of a passenger of 195 lbs. (an adult traveling in winter including 20 lbs.of baggage). According to your textbook, assume that men (not carrying baggage) have weightsthat are normally distributed with a mean of 188.6 lbs. and a standard deviation of 38.9 lbs.a.) If one adult male is randomly selected and is assumed to be carrying 20 lbs. carry-onbaggage, find the probability that the total weight is greater than 195 lbs.b.) What total weight would separate the lower 20% of men carrying 20 lbs. of baggage fromthe top 80%?

Suppose we want to test whether or not the average SAT score at the University of Seychelles is significantly larger than the average SAT score at Vermont. Taking a random sample, we manage to get the following seven scores from Vermont students: Vermont: 1340 1500 1430 1440 1380 1470 1290 and the following nine scores from Seychelles students: Seychelles: 1540 1480 1390 1450 1440 1350 1520 1400 1600 Assuming that the standard deviation in SAT scores for students at Seychelles and Vermont is the same and equal to 77 points, test at the α=:05 significance level whether or not the average SAT score atthe University of Seychelles is larger than the average SAT score at Vermont.

2. University researchers claim that the average enrollment at four-year colleges is higher than two-year community colleges. Two surveys are undertaken at 35 four-year universities and 35 two-year colleges. The mean enrollment at the four-year institutions was 5,466 with a standard deviation of 8,191. The average enrollment at the two-year schools was 5,068 with a standard deviation of 4,777. Using a 95% confidence level, are the findings of the surveys consistent with the university researchers’ claim? 2. Does the null hypothesis reject H0 or fail to reject H0?