omework: Homework 2 Sections 2.5-2.7 core: 0.5 of 1 pt 8 of 15 (8 complete) Hw S

Question

omework: Homework 2 Sections 2.5-2.7 core: 0.5 of 1 pt 8 of 15 (8 complete) Hw Score: 48.33%, 7.25 of 15 %2.6.99 Question Help A study published in a journal investigated mean number of units (ampoules) of local anesthetics used per week by dentists was 84, with a standard deviation of 21. Suppose we want to determine the percentage of dentists who use less than 126 units of local anesthetics per week. Complete parts a and b. alergic reactions of dental patients to local anesthetics. Based on a survey of dental practitioners, the study reported that th a. Assuming that nothing is known about the shape of the distribution for the data, what percentage of dentists use less than 126 units of local anesthetics per week? Select the correct choice below and ill in any answer boxes in your choice. B. Unknown b. Assuming that the data has a mound-shaped distribution, what percentage of dentists use less than 126 units of local anesthetics per week? Select the correct choice below and fill in any answer boxes in your choice. O B. Unknown Click to select and enter your answer(s) and then click Check Answer All parts showing Clear All Check Answer

Explanation / Answer

b. Mound shaped distribution is a normal distribution. Now the Z value for 126 units is (126 -84)/21 = 2 . Hence the entire area below z = 2 would represent the concerned percentage. Area from left tail till z= 0 is 0.5 and from z = 0 to z = 2 is 0.47

Hence, the total area is 0.5 + 0.47 = 0.97 . Hence the answer is 97%

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