STATISTICS

Answer the following questions with the choices:

Provide solutions and/or explanations.

1.

A 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 equation of the regression line? I. For every unit increase in diastolic blood pressure, the number of grams of protein increase by as much 2.1467. II. For every unit increase in diastolic blood pressure, the number of grams of protein decrease by as much 2.1467. III. For every unit increase in number of grams of protein, the diastolic blood pressure increases by as much 2.1467. IV. For every unit increase in number of grams of protein, the diastolic blood pressure decreases by as much 2.1467. a. I only b. II only c. III only d. IV onlyThe average height of 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 o = 2.61. 25 32 35 26 30 26.5 26 25.5 29.5 30 32 28.5 30 32 28 31.5 29 29.5 30 29 34 32 27 28 33 28 27 32 29 29.5 The computed value of test statistic is a. 1.035 b. 61.872 c. 1.0143 d. 63.133A researcher wishes to see if there is a relationship between the hospital and the number of patients infections. A random sample of 3 hospitals was selected, and the number of infections for a specific year has been reported. The data are shown below. Hospital Surgical site infections Pneumonia infections Bloodstream infections A 41 27 51 B 36 3 40 C 169 106 109 At a = 0.05, can it be concluded that the number of infections is related to the hospital where they occurred? The conclusion is a. There is enough evidence to support the claim that the number of infections is related to the hospital where they occurred. b. There is enough evidence to support the claim that the number of infections is not related to the hospital where they occurred. c. There is no enough evidence to support the claim that the number of infections is related to the hospital where they occurred. d. There is no enough evidence to support the claim that the number of infections is not related to the hospital where they occurred.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 null and alternative hypotheses is a. Ho: P1 P2 b. Ho: p1 2 p2 versus H1: P1 0 IV. Ho:Hi - #2 0 a. I only b. II only c. III only d. IV only