A population has a mean of 50 and a standard deviation of 18. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following? a. Greater than 51 b. Less than 52 c. Less than 49 d. Between 45.5 and 53.5 e. Between 50.7 and 51.6 Appendix A Statistical Tables (Round the values of z to 2 decimal places, e.g. 15.25. Round your answers to 4 decimal places, e.g. 0.2513.) a. P(x¯>51) = enter probability rounded to 4 decimal places  b. P(x¯<52) = enter probability rounded to 4 decimal places  c. P(x¯<49) = enter probability rounded to 4 decimal places  d. P(45.5≤x¯≤53.5) = enter probability rounded to 4 decimal places  e. P(50.7≤x¯≤51.6) = enter probability rounded to 4 decimal places

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A population has a mean of 50 and a standard deviation of 18. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following?

a. Greater than 51
b. Less than 52
c. Less than 49
d. Between 45.5 and 53.5
e. Between 50.7 and 51.6

Appendix A Statistical Tables



(Round the values of z to 2 decimal places, e.g. 15.25. Round your answers to 4 decimal places, e.g. 0.2513.)

a. P(x¯>51) = enter probability rounded to 4 decimal places 

b. P(x¯<52) = enter probability rounded to 4 decimal places 

c. P(x¯<49) = enter probability rounded to 4 decimal places 

d. P(45.5≤x¯≤53.5) = enter probability rounded to 4 decimal places 

e. P(50.7≤x¯≤51.6) = enter probability rounded to 4 decimal places 

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