1.

Toll Brothers is a luxury home builder that would like to testthe hypothesis that the average size of new homes exceeds 2,400square feet. A random sample of 36 newly constructed homes had anaverage of 2,510 square feet. Assume that the standard deviation ofthe size for all newly constructed homes is 480 square feet. TollBrothers would like to set α = 0.02. Use thep-value approach to test this hypothesis.

	a.	0.0838
	b.	0.01
	c.	0.05
	d.	0.1 2. Bananas are sold in bunches at a grocery store and typicallyconsist of 4-8 bananas per bunch. Suppose the weight of thesebunches follows a normal distribution with a mean of 3.54 poundsand a standard deviation of 0.63 pounds. The interval around themean that contains 99.7% of the bunch weights is ________. 1.02, 6.06 0.39, 6.69 1.65, 5.43 2.28, 4.80 3. Bob's golf score at his local course follows the normaldistribution with a mean of 92.1 and a standard deviation of 3.8.The interval around the mean that contains 68% of Bob's golf scoresis ________. 90.2, 94.0 80.7, 103.5 84.5, 99.7 88.3, 95.9 4. Costco installs automobile tires on a first-come first-servebasis. The total time a customer needs to wait for the installationto be completed follows the normal distribution with a mean time of106.3 minutes and a standard deviation of 18.5 minutes. What is theprobability that a randomly selected customer will wait between 80and 95 minutes for his or her tires to be installed? 0.2960 0.1245 0.3455 0.1931 5. Bananas are sold in bunches at a grocery store and typicallyconsist of 4-8 bananas per bunch. Suppose the weight of thesebunches follows a normal distribution with a mean of 3.54 poundsand a standard deviation of 0.63 pounds. What is the probabilitythat a randomly selected bunch of bananas will weigh more than 3.0pounds? 0.9463 0.5398 0.6950 0.8051 6. YouTube would like to test the hypothesis that the averagelength of an online video watched by a user is more than 8 minutes.A random sample of 37 people watched online videos that averaged8.7 minutes in length. It is believed that the population standarddeviation for the length of online videos is 2.5 minutes. YouTubewould like to set α = 0.02. The correct hypothesisstatement for this hypothesis test would be_________________________. H0: μ ≥ 8.0;H1: μ < 8.0 H0: μ ≠ 8.0;H1: μ = 8.0 H0: μ ≤ 8.0;H1: μ > 8.0 H0: μ = 8.0;H1: μ ≠ 8.0 7. According to College Board, the average room and board costsfor a private four-year college for the 2011-2012 academic year was$10,090. Assume that this cost follows the normal distribution witha standard deviation of $1,125. Determine the interval of agearound the mean that includes 95% of the sample mean