# An elevator has a placard stat

 Student:N/ADate: 10/22/20 Instructor: Mehdi SafaeeCourse: Fall 2020 – Elementary Statistics (MW) Assignment: Math 160 Homework 3 Chapter 6, 7, and 8
17.
An elevator has a placard stating that the maximum capacity is

2280
lb—15

passengers.​ So,

15

adult male passengers can have a mean weight of up to

2280/15=152 pounds.

If the elevator is loaded with

15

adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than

152

lb.​ (Assume that weights of males are normally distributed with a mean of

161 lb

and a standard deviation of

25 lb​.)

Does this elevator appear to be​ safe?

The probability the elevator is overloaded is

nothing.
​(Round to four decimal places as​ needed.)
Does this elevator appear to be​ safe?

A.

​No, there is a good chance that

15

randomly selected people will exceed the elevator capacity.

B.

​Yes, there is a good chance that

15

randomly selected people will not exceed the elevator capacity.

C.

​No,

15

randomly selected people will never be under the weight limit.

D.

​Yes,

15

randomly selected people will always be under the weight limit.

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is 1360 lb- or 8 passengers. So, if 8 adult male passengers can have a mean weight of up to 1360/8 = 170 pounds. If the elevator is loaded with eight adult males passengers, find the probability that it is overloaded because they have a mean weight greater than 170 lb. (Assume that weights of males are normally distributed with a mean of 176 lb and a standard deviation of 35 lb. ) Does this elevator appear to be safe?

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is

1272
lb—8

passengers.​ So,

8

adult male passengers can have a mean weight of up to

1272/8=159 pounds.

If the elevator is loaded with

8

adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than

159

lb.​ (Assume that weights of males are normally distributed with a mean of

167 lb

and a standard deviation of

30 lb​.)

Does this elevator appear to be​ safe?

Can you help me solve this with a TI 84?  Im trying to use the “normalcdf” function

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is 2490lb—15
passengers.​ So, 15 adult male passengers can have a mean weight of up to

2490/15=166 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 166 lb.​ (Assume that weights of males are normally distributed with a mean of 174 lb and a standard deviation of
34 lb​.)Does this elevator appear to be​ safe?

The probability the elevator is overloaded is ____ ?

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is

2535 lb—15 passengers.​ So, 15 adult male passengers can have a mean weight of up to 2535/ 15=169 pounds. If the elevator is loaded with
15 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 169 lb.​ (Assume that weights of males are normally distributed with a mean of 175 lb and a standard deviation of 26 lb​.) Does this elevator appear to be​ safe?
1. The probability the elevator is overloaded is ________ ​(Round to four decimal places as​ needed.)

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is 1860lb—12 passengers.​ So, 12 adult male passengers can have a mean weight of up to 1860/12=155 pounds. If the elevator is loaded with 12 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 155lb.​ (Assume that weights of males are normally distributed with a mean of 165 lb and a standard deviation of 33 lb​.)Does this elevator appear to be​ safe?
The probability the elevator is overloaded is

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is 1660 lb—10 passengers.​ So, 10 adult male passengers can have a mean weight of up to 1660/10=166 pounds. If the elevator is loaded with 10 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 166 lb.​ (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 26 lb​.) Does this elevator appear to be​ safe?

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is 2265lb- 15 passengers. So 15 adult Male passengers can have a mean weight of up to 2265/15=151 pounds. If the elevator is loaded with 15 adult Male passengers, find the probability that is overloaded because they have a mean weight greater than 151lb. ( assume that weights of males are normally distributed with a mean of 161lb and a standard deviation of 34lb). Does this elevator appear to be safe?

The Probability that the elevator is overloaded is? Round to four decimal places as needed.

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is

1980

lb—12

passengers.​ So,

12

adult male passengers can have a mean weight of up to

1980/12=165 pounds.

If the elevator is loaded with

12

adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than

165

lb.​ (Assume that weights of males are normally distributed with a mean of

171 lb

and a standard deviation of

35 lb​.)

Does this elevator appear to be​ safe?

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is 2445 lb—15 passengers.​ So, 15 adult male passengers can have a mean weight of up to 2445/15=163 pounds. If the elevator is loaded with 15 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 163 lb.​ (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 32lb​.)

The probability the elevator is overloaded is?

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is 2490 lb—15 passengers.​ So, 15 adult male passengers can have a mean weight of up to 2490/15=166 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 166 lb.​ (Assume that weights of males are normally distributed with a mean of 172 lb and a standard deviation of 26 lb​.) Does this elevator appear to be​ safe?

2 Part Question

Part 1

The probability the elevator is overloaded is (Blank).
​(Round to four decimal places as​ needed.)

Part 2

Does this elevator appear to be​ safe?

A. ​Yes, 15 randomly selected adult male passengers will always be under the weight limit.

B. ​No, there is a good chance that 15 randomly selected adult male passengers will exceed the elevator capacity.

C. No, 15 randomly selected people will never be under the weight limit.

D. Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity.

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is 2325 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to  2325/15=155 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 155 lb. (Assume that the weight of males are normally distributed with a mean of 160 lb. and a standard deviation of 27 lb). Does this elevator appear to be safe?

The probability that the elevator is overloaded is

# An elevator has a placard stat

An elevator has a placard stating that the maximum capacity is

1216lb — 8 passengers.​ So, 8 adult male passengers can have a mean weight of up to 1216/8=152 pounds. If the elevator is loaded with 8 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 152lb.​ (Assume that weights of males are normally distributed with a mean of 162 lb and a standard deviation of 31 lb​.) Does this elevator appear to be​ safe?

The probability the elevator is overloaded is ____?

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