STATISTICS

Answer the following questions with the choices:

Provide solutions and/or explanations.

1.

A 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 computed value of the test statistic is a. -0.7477 b. 0.7477 C. 0.7763 d. -0.7763A 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 critical value of the test statistic is a. 9.488 b. 1.96 c. 1.645 d. 2.3646A report by the Gallup Poll stated that on average a woman visits her physician is 5.8 times a year. A researcher randomly selects 20 women and obtained these data. 3 2 3 7 2 9 4 6 6 8 0 5 6 4 2 4 At a = 0.01, can it be concluded that the average is still 5.8 visits per year? The conclusion is a. The average number of visits of a woman to her physician is less than 5.8 times a year. b. The average number of visits of a woman to her physician is greater than 5.8 times a year. c. The average number of visits of a woman to her physician is 5.8 times a year. d. The average number of visits of a woman to her physician is not 5.8 times a year.A 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 degrees of freedom is a. 1 b. 9 C. 7 d. 4A biologist claims that the Pulisya sa Syudad issue an average of 60 speeding tickets per day. The following show the number of speeding tickets issued for a period of one month. Assume & is 13.42. Is there enough evidence to reject the motorist's claim at o =0.05? 72 45 36 68 69 71 57 60 83 26 60 72 58 87 48 59 60 56 64 68 42 57 57 58 63 49 73 75 42 63 The conclusion is a. The average number of speeding tickets issued per day is not 60. b. The average number of speeding tickets issued per day is 60. c. The average number of speeding tickets issued per day is less than 60. d. The average number of speeding tickets issued per day is greater than 60