5. We want to test H..: p = 1.5 vs. H..: p 1.5 at a = 0.05. A 95% condence interval for a\" calculated from a random sample is 1.4 to 3.6. Based on this nding we (a) fail to reject Ho. (b) reject H... (c) cannot make any decision at all because the value of the test statistic is not available. (d) cannot make any decision at all because the distribution of the population is unknown. (e) cannot make any decision at all because (1.4, 3.6) is only a 95% condence interval for p. 6. In a random sample of 50 students from high school A. the mean daily amount of time doing homework is 73 minutes with a standard deviation of 62 minutes. In a random sample of 40 students from high school B, the mean daily amount of time doing homework is 94 minutes with a standard deviation of 88 minutes. Which of the following is the standard error of the difference in means (A B)? E+ {a} 50 40 + s as To 622 882 + {c} 50 40 62 + 88 {d} 5 J47) 132 942 _+_ {e} 50 4O '1". A random sample of 12 high school students was selected and each student was asked \"How far from school is your home?" The standard error of the mean for this sample is 2.5 miles. Interpret this value. {a} On average, students live 2.5 miles from the school. 0)} The distance students live from school typically varies from the true mean distance by about 2.5 miles. (c) The distance students live from school is 2.5 miles greater than the mean, on average. (d) In samples of size 12, the sample mean distance students live from school is typically 2.5 miles from the true mean. (c) In samples of size 12, the distance students live from school typically varies from the true mean distance by about 2.5 miles. 8. At a high school with over 500 students, a counselor wants to estimate the mean number of hours per week that students spend in community service activities. The counselor will survey 20 students in the Environmental Club at the school and calculate the mean hours of those 20 students. Which of the following conditions for inference have n_ot been met? I. Data collected using a random sample II. The sample size is large enough to assume normality. III Sample size is less than 10 percent of the population size. (a) I only ((1) I and II only (13) 11 only (e) 1,11, III (c) III only