Disney Monorail Consider the same Mark VI monorail described in the preceding exercise. Again assume that heights of men are normally distributed with a mean of 68.6 in. and a standard deviation of 2.8 in.a. In determining the suitability of the monorail door height, why does it make sense to consider men while women are ignored?b. Mark VI monorail cars have a capacity of 60 passengers. If a car is loaded with 60 randomly selected men, what is the probability that their mean height is less than 72 in.?c. Why can’t the result from part (b) be used to determine how well the doorway height accommodates men?

Question
Asked Jan 17, 2020
8 views

Disney Monorail Consider the same Mark VI monorail described in the preceding exercise. Again assume that heights of men are normally distributed with a mean of 68.6 in. and a standard deviation of 2.8 in.

a. In determining the suitability of the monorail door height, why does it make sense to consider men while women are ignored?

b. Mark VI monorail cars have a capacity of 60 passengers. If a car is loaded with 60 randomly selected men, what is the probability that their mean height is less than 72 in.?

c. Why can’t the result from part (b) be used to determine how well the doorway height accommodates men?

check_circle

Expert Answer

Step 1

a.

In general, the men would be taller when compared with women. Thus, the design of doorway that is suitable for men is would also be suitable for women. Thus, it makes sense to consider men and ignore women.

Step 2

b.

Obtain the probability of 60 randomly selected men mean height less than 72 in.

Mean of sample means:

The sampling distribution of mean is equal to the population mean is:

Statistics homework question answer, step 2, image 1
fullscreen
Step 3

Z score:

The notation ‘x-bar’ represents the mean height of the men. ...

Statistics homework question answer, step 3, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Related Statistics Q&A

Find answers to questions asked by student like you
question_answer

Q: How do you find r in the problem 7700.00= 7000.00(1+2r)?

A: It is given, 7700 = 7000(1+2r).

question_answer

Q: Prose rhythm is characterized as the occurrence of five-syllable sequences in long passages of text....

A: It is given that the population proportion; P is 0.261. In the survey, it is found that 61 of 317 fi...

question_answer

Q: Continuity Correction In testing the assumption that the probability of a baby boy is 0.512, a genet...

A: a.The 502 births represent the discrete whole number x which is approximated by the continuous distr...

question_answer

Q: The lifetime of a certain brand of battery is normally distributed with a mean value of 8 hr and a s...

A: a.Calculating the probability that the player functions for at least 6 hr:It is given that the lifet...

question_answer

Q: Why can’t all the probabilities for a Poisson random variable be displayed in a probability distribu...

A: The probabilities for a Poisson random variable cannot be displayed in a probability distribution ta...

question_answer

Q: In Exercises 1–5, assume that 74% of randomly selected adults have a credit card (based on results f...

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of ...

question_answer

Q: Washing Hands Based on results from a Bradley Corporation poll, assume that 70% of adults always was...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

question_answer

Q: Vending Machines Quarters are now manufactured so that they have a mean weight of 5.670 g and a stan...

A: a)The random variable x represents weights of quarters.The formula to convert the weights of quarter...

question_answer

Q: Powerball: Poisson Approximation to Binomial There is a 1/292,201,338 probability of winning the Pow...

A: Requirements for using the Poisson distributions as an approximation to binomial distribution are as...

question_answer

Q: Construct a Venn diagram representing the event a .(A&B).b.(A&B&C)

A: Solution:  We have to construct the Venn Diagram representing the following events.a. (A&B)b. (A...

question_answer

Q: Seat Designs. In Exercises 13–20, use the data in the table below for sitting adult males and female...

A: For males, it is given that the mean is 23.5with standard deviation 1.1.The probability that a male ...

question_answer

Q: A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.13 inch...

A: Click to see the answer

question_answer

Q: What does it mean for three events to be mutually exclusive?

A: In this case, we need to find the meaning of the statement three events are mutually exclusive.

question_answer

Q: Normality Requirement What does it mean when we say that the confidence interval methods of this sec...

A: The statement “The confidence interval methods of the section 2 are robust against departures from n...

question_answer

Q: Notation Common tests such as the SAT, ACT, LSAT, and MCAT tests use multiple choice test questions,...

A: From the provided information, total questions (n) = 100One out of five answer options is the correc...

question_answer

Q: Finding Bone Density Scores. In Exercises 37–40 assume that a randomly selected subject is given a b...

A:  The bone density test scores follow standard normal distribution with mean 0 and standard deviation...

question_answer

Q: Critical Values. In Exercises 41–44, find the indicated critical value. Round results to two decimal...

A: From the given information, the confidence level is 0.10.The critical value is obtained as 1.28 by t...

question_answer

Q: Births A random sample of 860 births in New York State included 426 boys. Construct a 95% confidence...

A: Given Random sample size, Total number of births = 860Number of boys born = 426Proportion of boys bo...

question_answer

Q: Births: Sampling Distribution of Sample Proportion When three births are randomly selected, the samp...

A: Consider the births as b, and g, where, b means ‘boy’ and g means ‘girl’.The three births are random...

question_answer

Q: When you get a surprisingly low price on a product do you assume that you got a really good deal or ...

A: Introduction:

question_answer

Q: In probability and statistics, what is each repetition of an experiment called?

A: In probability and statistics, experiments are repeated many times. The repetition of an experiment ...

question_answer

Q: In Exercises 11–14, use the population of {34, 36, 41, 51} of the amounts of caffeine (mg /12 oz) in...

A: a)The two values are randomly selected with replacement from the population {34, 36, 41, 51}, the 16...

question_answer

Q: Carbon Tax. A poll commissioned by Friends of the Earth and conducted by the Mellman Group found tha...

A: a)The random variable Y is the number of voters who favour a carbon tax. A random sample of six vote...

question_answer

Q: Consider the set consisting of the first 10 positive whole numbers (i.e., 1–10). Determine explicitl...

A: a)Here, the set consisting of the first 10 positive whole numbers.

question_answer

Q: Mickey D’s In a study of the accuracy of fast food drive-through orders, McDonald’s had 33 orders th...

A: Given Data

question_answer

Q: Cherry Pies. At one time, a well-known restaurant chain sold cherry pies. Professor D. Lund of the U...

A: a)There are 42 observations and the sum of the observations is 35. Hence, the mean number of cherrie...

question_answer

Q: Standard Normal Distribution. In Exercises find the indicated z score. The graph depicts the standar...

A: The area under the standard normal curve represents the probability value. From the given figure, th...

question_answer

Q: Standard Normal Distribution. In Exercises 17–36, assume that a randomly selected subject is given a...

A: The test score z is less than 4.55 represents the probability of the bone density test score to the ...

question_answer

Q: IQ of Statistics Professors You want to estimate σ for the population of IQ scores of statistics pro...

A: Given confidence interval of 95%.Level of significance = 1 - 0.95 = 0.05Margin of error = 1% = 0.01W...

question_answer

Q: Unbiased Estimators Data Set 4 “Births” in Appendix B includes birth weights of 400 babies. If we co...

A: The data shows the birth weights of 400 babies.

question_answer

Q: Biometric Security In designing a security system based on eye (iris) recognition, we must consider ...

A: (a)The random variable x represents standing eye heights of women.The formula to convert the x value...

question_answer

Q: Annual Incomes Annual incomes are known to have a distribution that is skewed to the right instead o...

A: It is given that the annual incomes distributed skewed to the right and the large random sample coll...

question_answer

Q: Requirements A quality control analyst has collected a random sample of 12 smartphone batteries and ...

A: Given that,Random sample of 12 smartphone batteries

question_answer

Q: Topsoil The Dirt Guy Topsoil company in Durham, CT, sells (you guessed it) topsoil. It is sold by th...

A: In this case, we need to construct the scatterplot for linear, quadratic, logarithmic, exponential, ...

question_answer

Q: Testing a Slot Machine The author purchased a slot machine (Bally Model 809) and tested it by playin...

A: The critical value is obtained below:The degrees of freedom isDf = k -1     = 10 ­– 1     = 9Instruc...

question_answer

Q: Construct a frequency distribution for the given data set using 6 classes. In the table, include the...

A: The class width is calculated as follows:

question_answer

Q: The human resource department at a certain company wants to conduct a survey regarding worker benefi...

A: According to the provided data, the population size is 2434 and the sample size is 30. The human res...

question_answer

Q: Sample Size for Mean Find the sample size required to estimate the mean IQ of professional musicians...

A: Click to see the answer

question_answer

Q: Does Aspirin Prevent Heart Disease? In a trial designed to test the effectiveness of aspirin in prev...

A: a)State the test hypotheses.Null hypothesis:H0 : p1 = p2Alternative hypothesis:H1 : p1 ≠ p2

question_answer

Q: Compute 3!, 7!, 8!, and 9!.

A: Factorial Rule:The total number of ways k different objects can be arranged where order of the objec...

question_answer

Q: Cola Cans A random sample of 20 aluminum cola cans with thickness 0.0109 in. is selected and the axi...

A: Click to see the answer

question_answer

Q: Playing Cards. An ordinary deck of playing cards has 52 cards. There are four suits—spades, hearts, ...

A: Click to see the answer

question_answer

Q: You are given the sample mean and the population standard deviation. Use this information to constru...

A: Note:Hey there! Thank you for the question. As your question has more than 3 parts, according to our...

question_answer

Q: Standard Normal Distribution. In Exercises find the area of the shaded region. The graph depicts the...

A: From the given figure, the z value is –1.04.

question_answer

Q: Drug Screening The company Drug Test Success provides a “1-Panel-THC” test for marijuana usage. Amon...

A: State the appropriate hypothesis: Null hypothesis: H0 : p = 0.10 Alternative hypothesis: H1 : p <...

question_answer

Q: Continuous Uniform Distribution. In Exercises 5-8, refer to the continuous uniform distribution depi...

A: The random variable x is defined as the waiting time in minutes of a randomly selected passenger.Sha...

question_answer

Q: Town Courts Listed below are amounts of court income and salaries paid to the town justices (based o...

A: Assume x be the court income and y be the justice salary, both in thousands of dollars.Excel is used...

question_answer

Q: Using the Central Limit Theorem. In Exercises 5–8, assume that females have pulse rates that are nor...

A: Central Limit Theorem for mean:If a random sample of size n is taken from a population having mean µ...

question_answer

Q: Construct a Venn diagram representing the event a.(not E).b.(A or B).

A: a)Venn diagramVenn diagram is a diagrammatic representation of sets which shows the relationship bet...

question_answer

Q: What is the binomial distribution?

A: The binomial probability distribution is a discrete probability distribution in which the outcomes a...