STATISTICS
Answer the following questions with the choices:
Provide solutions and/or explanations.
1.
In the nursing home study, the researchers found that 12 out of 34 randomly selected small nursing homes had a resident vaccination rate of less than 80%, while 17 out of 24 randomly selected large nursing homes had a vaccination rate of less than 80%. At a = 0.05, test the claim that there is no difference in the proportions of the small and large nursing homes with a resident vaccination rate of less than 80%. The critical value(s) of the test statistic is a. -1.645 and 1.645 b. 1.645 C. -1.96 d. -1.96 and 1.96A study was conducted with vegetarians to see whether the number of grams of protein each ate per day was related to diastolic blood pressure. The data are given below. Grams 4 6.5 5 5.5 8 10 9 8.2 10.5 Pressure 73 79 83 82 84 92 88 86 95 Which of the following is the correct interpretation of the sample coefficient of determination? I. 83.92% of the total variation of diastolic blood pressure can be accounted for or explained by the linear relationship with the number of grams of protein. II. 91.61% of the total variation of diastolic blood pressure can be accounted for or explained by the linear relationship with the number of grams of protein. III. 83.92% of the total variation of the number of grams of protein can be accounted for or explained by the linear relationship with diastolic blood pressure. IV. 91.61% of the total variation of the number of grams of protein can be accounted for or explained by the linear relationship with diastolic blood pressure. a. I only b. II only c. III only d. IV onlyA random sample of monthly gasoline prices was taken from 2011 and from 2015. The samples are shown below. Using a = 0.01, can it be concluded that gasoline cost more in 2015? 2011 2.02 2.47 2.50 2.70 3.13 2.56 2015 2.36 2.46 2.63 2.76 3.00 2.85 2.77 The mean price of gasoline in 201 1 and mean price of gasoline in 2015 are a. 2.5654 and 2.6900, respectively b. 2.5634 and 2.6900, respectively c. 2.5664 and 2.6700, respectively d. 2.4634 and 2.9900, respectivelyTo test the effect of a physical fitness course on one's ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten randomly selected participants scored as shown in the following table. Can you conclude that a significant amount of improvement took place? Use a = 0.01. Before 29 22 25 29 26 24 31 46 34 28 After 39 26 25 35 33 36 32 54 50 43 What is the tabulated value and the computed value? a. 2.821 and 4.5785, respectively b. 2.821 and 4.5875, respectively c. 2.575 and 4.5875, respectively d. 1.96 and 4.5785, respectivelyWhich of the following hypotheses is true about the right-tailed test? I. Ho : / =10 versus H1 : # # 10 II. Ho : # 210 versus H :/ 10 IV. Ho : # # 10 versus H : /
