012 OLU www MIN TAB EX Take this quiz as you would take a quiz in class. After you are done, check your work against the answers given in the back of the book. For this quiz, do the following. (a) Write the claim mathematically and identify Ho and Ha TOW BOY (b) Determine whether the hypothesis test is a one-tailed test or a two-tailed test and whether to use a z-test or a t-test. Explain your reasoning. molyabol (c) Find the critical value(s) and identify the rejection region(s). (d) Use the appropriate test to find the appropriate standardized test statistic. If convenient, use technology. (e) Decide whether to reject or fail to reject the null hypothesis. (f) Interpret the decision in the context of the original claim.deb TOY rugnol diw Now 1. The mean score on a science assessment for 49 randomly selected male high school students was 149 with a standard deviation of 35. The mean score on the same test for 50 randomly selected female high school students was 145 with a standard deviation of 33. At a = 0.05, can you support the claim that the mean score on the science assessment for the male high school students was higher than for the female high school students? (Adapted from National Center for Education Statistics) 000 125 = 2. A science teacher claims that the mean scores on a science assessment test for fourth grade boys and girls are equal. The mean score for 13 randomly selected boys is 153 with a standard deviation of 32 and the mean score for 15 randomly selected girls is 149 with a standard deviation of 30. At a 0.01, can you reject the teacher's claim? Assume the populations are normally distributed and the variances are equal. (Adapted from National Center for Education Statistics) Ta gaizoon S 3. In a random sample of 6382 drivers ages 21 to 24 involved in fatal crashes, 32% had a blood alcohol concentration of 0.08% or greater. In a random sample of 11,179 drivers ages 25 to 34 involved in fatal crashes, 27% had a blood alcohol concentration of 0.08% or greater. At a = 0.10, can you support the claim that the proportion of drivers involved in fatal crashes with a blood alcohol concentration of 0.08% or greater is higher for drivers ages 21 to 24 than for the drivers ages 25 to 34? (Source: U.S. National Highway Safety Traffic Administration) 4. The table shows the mathematics scores for 12 randomly selected students the first and second times they took the SAT. At a = 0.05, is there enough evidence to conclude that the students' SAT scores improved on the second test? Assume the populations are normally distributed. Student 1 2 3 4 5 6 First score 457 419 343 539 394 413 Second score 532 523 427 607 444 490 Student 7 8 9 10 11 12 First score 392 421 439 340 493 339 Second score 428 524 532 397 550 357 31. The mean rate for satellite television from a sample of households was $49.00 per month, with a standard deviation of $2.50 per month. Between what two values do 99.7% of the data lie? (Assume a bell-shaped distribution.) 32. The mean rate for satellite television from a sample of households was $49.50 per month, with a standard deviation of $2.75 per month. Estimate the percent of satellite television rates between $46.75 and $52.25. (Assume that the data set has a bell-shaped distribution.) $36.00 with Take this quiz as you would take a quiz in class. After you are done, check your work against the answers given in the back of the book. 1. Find each standard normal probability. (a) P(z> -2.10) (b) P(z -0.75) 2. Find each normal probability for the given parameters. (a) u = 5.5, = 0.08, P(5.36 < x < 5.64) (b) -8.2, = 7.84, P(-5.00 < x < 0) (c) = 18.5, = 9.25, P(x < 0 or x > 37) 525 PG 301 # 1 PG 485 #3 PG 544 #11 WEDNESDA ESDAY PG-119 #31,32 PG 301 #2 3012 PG 485 #4