2: (2>60) (2480) 5. A The ages of the thousands of residents of a retirement community are normally distributed with a mean of 70 and a standard deviation of 4 years. a. What proportion of this population is between 60 and 80? 2 = -2.5 = 6.21 2= 60-70 4 2-80-70 4 2= = 2.5=6.21 71.5-45 4 ماما - 49379 1-,99379 -3 O Stry b. If one sample of 45 residents is chosen at random, what is the probability that the sample mean age will be between 68.5 and 71.75? 2= 68.5-45 5.87 4 -4 = 6.21% +6.21= 12.2400 is between 60-80 Years old Po

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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2: (2>60) (2<80)
5. A The ages of the thousands of residents of a retirement community are normally distributed
with a mean of 70 and a standard deviation of 4 years.
✔
a. What proportion of this population is between 60 and 80?
2= 60-70
= -2.5 = 6.21
2-80-70
2=
= 2.5=6.21
71.5-45
4
99379
1-,99379
b. If one sample of 45 residents is chosen at random, what is the probability that the
sample mean age will be between 68.5 and 71.75?
Stru
2=
68.5-45
25.87
4
ماما -
= 6.21% +6.21=
-4
12.2400
is between
60-80
years old
Cont
2.5
c. Between which two symmetric limits are 95% of all the possible values of the sample
means?
Po
Transcribed Image Text:2: (2>60) (2<80) 5. A The ages of the thousands of residents of a retirement community are normally distributed with a mean of 70 and a standard deviation of 4 years. ✔ a. What proportion of this population is between 60 and 80? 2= 60-70 = -2.5 = 6.21 2-80-70 2= = 2.5=6.21 71.5-45 4 99379 1-,99379 b. If one sample of 45 residents is chosen at random, what is the probability that the sample mean age will be between 68.5 and 71.75? Stru 2= 68.5-45 25.87 4 ماما - = 6.21% +6.21= -4 12.2400 is between 60-80 years old Cont 2.5 c. Between which two symmetric limits are 95% of all the possible values of the sample means? Po
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