Answer the following

1. Which of the following is the measure of the number of standard deviations (o) a particular data value is away from the mean ()? A. Standardization B. Random Normal Variable C. Standard Normal Variable D. Probability Distribution 2. Given: x = 35 ; u = 15 ; o = 4. Find the z score. A. -5 B. 5 C. 10 D. 15 3. Given: z = - 2.25 ; u = 60 ; o = 8. Find the value of x A. 18 B. 42 C. 78 D. 102 For questions number 4 and 5 Suppose the provincial health officer of Quezon reported that the average COVID 19 positive for 30 days is 8 patients with the standard deviation of 4 patients.4. What is the z score of 15 patients? A. -5.75 B. -1.75 C. 1.75 D. 5.75 5. What is the z score of 4 patients? A. - 1 B. -0.5 C. 0.5 D. 1 6. The mean score of the students on pre-assessment is 10 and the is 3? standard deviation is 2. What was Elson's raw score if his z - score A. 4 B. 12 C. 16 D. 20 7 . Some DepEd public and private schools administered National Achievement Test for Grade 6 and Grade 10. Suppose the test for Grade 10 has a mean score of 110 and a standard deviation of 15. If Juan, a Grade 10 student, has obtain a z-score of 1.27, what was his score on the test? A. 91 B. 92 C. 129 D. 130 For questions number 8-10 The Enhance Community Quarantine (ECQ) on some places was lifted by our President Rodrigo Roa Duterte last May 15, 2020. Suppose that after the said ECQ, one of the dieticians of well-known company conducted the survey about the effect of home quarantine on the health of the Filipino people. He found out that average weight for women is 60 kg with a standard deviation of 4 kg. 8.If the weights are normally distributed, what is the z-score of a woman with a weight of 70. A. -2.5 B. -1.5 C. 1.5 D. 2.5 9. What is the z score of a woman with a weight of 50 kg? A. -2.5 B. -1.5 C. 1.5 D. 2.5 10. How many kilograms will be corresponds to the z score of 0.5 of the weight of woman? A. 56kg B. 58kg C. 60 kg D. 62 kg' ' ' ' ' test are no . If the scores in 3 Probability and Statistics _ y 1 1 distributed with a mean of 25 and standard dewation of 3.5. What 18 the zscore for a score of 30? A. 1.43 B. 1.06 C. 0.72 D: "1'43 ' d a zscore of 2.35 in an achievement 'th. a mean grade of 83 and standard achievement test? A. 71.25. B. 80.65 C. 85.35 D. 94.75 . _ - 13. In a normal distribution with a mean. of 69 and standard dewahon of 15, what does a zscore of .-2 indicates? ' y A. It indicates that the score is equal to 39. B. It indicates that the'score is above the mean. C. It indicates that the score is 39 less than the mean . 7 D. It indicates that the difference betweenthe score and the . _ mean is 39. ' ' > ' , 14. Francis Leo and Romy who are best friends took a college entrance examination. The mean score and standard deviation of the examination are 1 15 and 12, respectively. If Francis Leo and ' , . Romy obtained zscores of 1.5 and O.95 respectively, What was ' their scores in the exalnination? ' ' - ~ A. 132 and 104 B.' 133 and 104 ~ '0. 132.75 and 104 7 7 D. 133.75 and 103.6 . ., . . -' 15. The velocities of cars in express way are normally distributed with- a mean of 80 km/hr and stande deviation of 8 km/ hr. Jessie's ' , velocity has a .zscor'e of 2.5, What was his velocity? . A. 100 km / hr , B. 105 km / hr C. 1 10 km / hr D. '1 1 5 km / hr man-w a.-.4.ay-g-..~. . a. a- z) B. P(Z x) 2. What does P(a -1.00). A. 15.87% B. 34.13% C. 84.13% D. 90.13% 5. Compute the probability value of P(-1.35