Question: Engineers are designing a large elevator that will accommodate 40 people. The maximum weight the elevator can hold safely is 8120 pounds. According to the

Engineers are designing a large elevator that will accommodate 40 people. The maximum weight the elevator can hold safely is 8120 pounds. According to the National Health Statistics Reports, the weights of adult U.S.

men have mean 194 pounds and standard deviation 68 pounds, and the weights of adult U.S. women have mean 164 pounds and standard deviation 77 pounds.

a. If 40 people are on the elevator, and their total weight is 8120 pounds, what is their average weight?

b. If a random sample of 40 adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded?

c. If a random sample of 40 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded?

Step by Step Solution

★★★★★

3.27 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Elementary Statistics Questions!

Figure 31.22 shows a rod made of three pieces of conducting material connected end to end. The pieces are of equal size but are made of different materials; pieces A and C have negligible resistance,...

Each of the three molecules shown here contains an OH group, but one molecule acts as a base, one as an acid, and the third is neither acid nor base. (a) Which one acts as a base? Why does only this...

Find the probability of the indicated event if P(E) = 0.35 and P(F) = 0.50. Find P(E or F) if P(E and F)=0.10. P(E or F) = (Simplify your answer.)

Engineers are designing a large elevator that will accommodate 40 people. The maximum weight the elevator can hold safely is 8120 pounds. According to the National Health Statistics Reports, the...

A sample of size 115 will be drawn from a population with mean 48 and standard deviation 12 . Use the TI-83 Plus/TI-84 Plus calculator. Part: 0 / 2 Part 1 of 2 (a) Find the probability that x will be...

How much do you study? A survey among freshmen at a certain university revealed that the number of hours spent studying the week before was normally distributed with mean 30 and standard deviation 4....

stat not statistics Elevator ride: Engineers are designing a large elevator that will accommodate 46 people. The maximum weight the elevator can hold safely is 8970 pounds. According to the National...

The base of a right triangle is 10, and its area is 20. What is the height of this right triangle?

Describe a potential conflict of interest in each of the following four situations: a. An investment advisor whose compensation is based on commissions from client trades b. An investment manager's...

When comparing a merchandising business to a service business, the financial statement that changes the most is the a. income statement O b. statement of owner's equity O c. balance sheet O d....

Who is responsible for implementation?

a. Use Table 6 or Table 7 in Appendix B to find the value of P for the hypothesis test in Exercise 9.38; state the decision using a = 0.05 b. Find the critical region and critical values for the...

Use a computer or calculator to find the p-value for the following hypothesis test: Ho: = 32 Ha: m_32 n = 16 x = 32.93 s = 3.1

Use a computer or calculator to find the p-value for the following hypothesis test: Ho: = 73 Ha: = 73, n = 12 x = 71.46 s = 4.1

Describe your opinion of why some collaborative interfaces, such as email, are much more popular than others, such as video-conferencing.

( Corporate income tax ) The Robbins Corporation is an oil wholesaler. The firm's sales last year were $ 1 . 0 4 million, with the cost of goods sold equal to $ 6 0 0 , 0 0 0 . The firm paid interest...

QUESTION 14 Barenbaum industries projects that cash outlays of $2.0 million will occur uniformly throughout the year. Barenbaum plans to meet its cash regrements by periodically sing marketable...