11. Using the z table (Table E), find the critical value (or values) for each.to.a = 0.10, two-tailed test b.a- 0.01, right-tailed test c.a = 0.005, left-tailed test d.a = 0.01, left-tailed test e.a = 0.05, right-tailed test

13. For each conjecture, state the null and alternative hypotheses.to.The average weight of dogs is 15.6 pounds.b.The average distance a person lives away from a toxic waste site is greater than 10.8 miles.c.The average farm size in 1970 was less than 390 acres.d.The average number of miles a vehicle is driven per year is 12,603.and.The average amount of money a person keeps in his or her checking account is less than $ 24.

1. Warming and Ice Melt The average depth of the Hudson Bay is 305 feet.Climatologists were interested in seeing if warming and ice melt were affecting the water level.Fifty-five measurements over a period of randomly selected weeks yielded a sample mean of 306.2 feet.The population variance is known to be 3.6.Can it be concluded at the 0.05 level of significance that the average depth has increased?Is there evidence of what caused this to happen?

3. Revenue of Large Businesses A researcher estimates that the average revenue of the largest businesses in the United Suates is greater than $ 24 billion.A random sample of 50 companies is selected, and the revenues (in billions of dollars) are shown.Ata -0.05, is there enough evidence to support the rescarcher's claim?Assume e- 28.7.178 122 91 44 35 61 6 46 20 32 30 28 28 20 7 29 16 16 19 15 4 38 15 28 31 30 19 19 19 24 16 15 15 19 25 25 I 14 15 24 23 11 17 2 22 21 20 17 20

5. Sick Days in Bed A researcher wishes to see if the average number of sick days a worker takes per year is greater than 5. A random sample of 32 workers at a large department store had a mean of 5.6.The standard deviation of the population is 1.2.Is there enough evidence to support the researcher's claim at a = 0.01?

7. Heights of 1-Year-Olds The average 1-year-old (both genders) is 29 inches tall.A random sample of 30 1-year-olds in a large day care franchise resulted in the following heights.At a = 0.05, can it be concluded that the average height differs from 29 inches?Assume a = 2.61.25 32 35 25 30 26.5 26 25.5 29.5 32 30 28.5 30 32 28 31.5 29 29.5 30 34 29 32 27 28 33 28 27 32 29 29.5 Source: www.healthepic.com

15. Reject or Not State whether the null hypothesis should be rejected on the basis of the given P-value.to.P-value = 0.258, a = 0.05, one-tailed test b.P-value = 0.0684, a = 0.10, two-tailed test c.P-value = 0.0153, a = 0.01, one-tailed test d.P-value = 0.0232, a = 0.05, two-tailed test e.P-value = 0.002, a = 0.01, one-tailed test

17. Stopping Distances A study found that the average stopping distance of a school bus traveling 50 miles per hour was 264 feet.A group of automotive engineers decided to conduct a study of its school buses and found that for 20 randomly selected buses, the average stopping distance of buses traveling 50 miles per hour was 262.3 feet.The standard deviation of the population was 3 feet.Test the claim that the average stopping distance of the company's buses is actually less than 264 feet, Find the P-value.On the basis of the P-value, should the null hypothesis be rejected at a = 0.01?Assume that the var