It is generally believed that the heights of adult females in the U.S. are approximately normally distrībuted with mean 65 inches and standard deviation 4 inches. A small university is considering custom ordering beds for their dorm rooms. Answer the following questions about the lengths of beds in dorm rooms at this university. a. The beds that the university currently purchases are 70 inches long. What proportion of females will be able to fit on the bed while lying perfectly straight (less than 70")? Draw/Label/Shade a curve with this information and provide the value of the requested proportion. b. What is the height of a female who is in the top 10% for her height? Draw/Label/Shade

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Show all pertinent calculations or input screens from the calculator when prompted.
Round all answers to 3 decimal places unless specified otherwise. Be sure all number values have symbols
associated with them.
Parameter Point SE
Ci
Sample
Test
Est
Size
Statistic
Proportion
P(1- p)
se=
pzz* (se)
P
* p(1- p) z=
Confidence
Tail
me
Level
Area
90%
05
1.645
Nete 1 -
95%
.025
1.960
99%
.005
2.576
If n 10 and
of1- 10
Mean
It1* (se)
se-
Iln >= 30
1. It is generally believed that the heights of adult females in the U.S. are approximately normally
distrībuted with mean 65 inches and standard deviation 4 inches. A small university is considering
custom ordering beds for their dorm rooms. Answer the following questions about the lengths of beds in
dorm rooms at this university.
a. The beds that the university currently purchases are 70 inches long. What proportion of females will
be able to fit on the bed while lying perfectly straight (less than 70")? Draw/Label/Shade a curve
with this information and provide the value of the requested proportion.
b. What is the beight of a female who is in the top 10% for her height? Draw/Label/Shade
Transcribed Image Text:Show all pertinent calculations or input screens from the calculator when prompted. Round all answers to 3 decimal places unless specified otherwise. Be sure all number values have symbols associated with them. Parameter Point SE Ci Sample Test Est Size Statistic Proportion P(1- p) se= pzz* (se) P * p(1- p) z= Confidence Tail me Level Area 90% 05 1.645 Nete 1 - 95% .025 1.960 99% .005 2.576 If n 10 and of1- 10 Mean It1* (se) se- Iln >= 30 1. It is generally believed that the heights of adult females in the U.S. are approximately normally distrībuted with mean 65 inches and standard deviation 4 inches. A small university is considering custom ordering beds for their dorm rooms. Answer the following questions about the lengths of beds in dorm rooms at this university. a. The beds that the university currently purchases are 70 inches long. What proportion of females will be able to fit on the bed while lying perfectly straight (less than 70")? Draw/Label/Shade a curve with this information and provide the value of the requested proportion. b. What is the beight of a female who is in the top 10% for her height? Draw/Label/Shade
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