reen f MK Mary Kay UWW WINS D2L cheggWiley -us LUS Black, Business Statistics, s

Question

reen f MK Mary Kay UWW WINS D2L cheggWiley -us LUS Black, Business Statistics, se dy & Practice APA Citation generat BUSINESS STATIST Assignment Gradebook ORION nment PRINTER VERSION Question 1 Suppose you are working with a data set that is normally distributed, with a mean of 200 and a standard deviation of 48. Determine the value of x from the following information. (Round your answers and z values to 2 decimal places.) (a) 70% of the values are greater than x. (b) x is less than 17% of the values. I (c) 22% of the values are less than x. (d) x is greater than 55% of the values. Question Attempts: O of 1 used SAVE FOR LATER SL

Explanation / Answer

Params of normal distribution can be used to normalize the X to Z:

Mean = 200
Stdev = 48

a. P(X>c) = .17
Z is +.955 for c at which the cumulative area is 1-.17 = .83

So . (c-200)/48 = .955
c = .955*48+200 = 245.86

b. P(X<=c) = .22
Z value must .5871 for a cumulative area of .22
Hence, .5871 = (c-200)/48
c = 48*.5871+200 = 228.18

c. P(X<=c) = .55
Z value for cumulative area of .55 iws Z = .125
So, (c-200)/48 = .125
c = 200+48*.125 = 206.00

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.