Based on extensive historical data compiled by Home Depot, the average customer spends $1,525 to carpet a 9x11 foot room (materials and installation labor costs). The total sale amount has a normal distribution with a standard deviation of $140.   What is the probability that a randomly selected customer who purchased carpeting from Home Depot for a 9x11 foot room will have a total sale of more than $1,560? ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules)   What percent of the total carpeting sales amounts for a 9x11 foot room will be between $1,476 and $1,497? ANSWER:  % (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer as a percentage to 2 decimal places, using conventional rounding rules)   What is the probability that a randomly selected customer who purchased carpeting from Home Depot for a 9x11 foot room will have a total sale of less than $1,238? ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules)   Eighty-six percent of the total carpeting sales amounts for a 9x11 foot room should be above what dollar value? ANSWER: $  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 2 decimal places, using conventional rounding rules)

Question

Based on extensive historical data compiled by Home Depot, the average customer spends $1,525 to carpet a 9x11 foot room (materials and installation labor costs). The total sale amount has a normal distribution with a standard deviation of $140.

 

What is the probability that a randomly selected customer who purchased carpeting from Home Depot for a 9x11 foot room will have a total sale of more than $1,560? ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules)

 

What percent of the total carpeting sales amounts for a 9x11 foot room will be between $1,476 and $1,497? ANSWER:  % (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer as a percentage to 2 decimal places, using conventional rounding rules)

 

What is the probability that a randomly selected customer who purchased carpeting from Home Depot for a 9x11 foot room will have a total sale of less than $1,238? ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules)

 

Eighty-six percent of the total carpeting sales amounts for a 9x11 foot room should be above what dollar value? ANSWER: $  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 2 decimal places, using conventional rounding rules)

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: I need help with this textbook question. I cant find an example for it in my book. Thank you.

A: The sample mean is obtained below: From the given information, number of observations is 17 and conf...

Q: How do I find the p value for a hypothesis test

A: The concepts of testing of hypothesis, p-value, and t-test are used here. 

Q: A poll asked the question, "What do you think is the most important problem facing this country toda...

A: Solution:The confidence interval formula for proportion formula is,

Q: 7q1r2 defects 2 5 0 1 3 1 3 1 1 1 1 5 0 1 4 1 5 1 4 1 3 1 2 2 2 1 3 1 2 1 0 2 3 1 0 0 2 1 1 1 1 0 6 ...

A: a)The hypotheses for the test are stated below:From the information, the level of significance is 0....

Q: For the most recent years available, the mean annual cost to attend a private university in the Unit...

A: Consider, X be the random variable that represents annual cost to attend a private university. It is...

Q: A manufacturer of automatic car transmissions uses steel gears. An important characteristic of these...

A: Hi! Thank you for posting the question. Since your question has more than three sub-parts, we have s...

Q: Assume that a national fitness study reports that 5% of millenials exercise daily. Suppose that a re...

A: Solution: We are given that a random variable X that represents the number of millenials in the samp...

Q: calculate the probability of exactly 3 successes in 4 tries. p= 0.2

A: Given:n = 4, r= 3, p = 0.2Consider that the random variable X follows a binomial distribution with p...

Q: Selecting a card- when a card is drawn from a deck, find the probability of getting d. A king e. A r...

A: Total number of cards in a deck =52.There are 4 kings in the deck.There are 26 red cards in the deck...

Q: ​Which of the following describes the effect of an increase in the variance of the difference scores...

A: It is given that the variance of the difference scores increases in a repeated measures design.

Q: An investigator wants to estimate the impact of smoking on the incidence of prostate cancer. The inc...

A: Note: Hi there! Thanks for posting the question. It is not clear from your question that what to cal...

Q: For a sample of 150 that has a mean of 6540 and a standard deviation =.89, calculate the 95% confide...

A: From the given dataSample size 150, mean 6540 and standard deviation 0.89

Q: Please see picture

A: In this context, it is assumed that the n students are selected at random without replacement from a...

Q: In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would pr...

A: (a) The probability that at least 84 would prefer a boy  is 0.1230 and it is obtained below: From th...

Q: Hello, I am trying to derive regression equation from the data. I already made the graph that displa...

A: Given data and calculation for equation of regression line is shown below

Q: An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufact...

A: It is given that n =5,000 and p = 0.0005 (=1/2,000).The probability mass function of binomial distri...

Q: Draw a tree-diagram to represent all probabilities for the following.   A bag contains 14 green and ...

A: It is provided,Number of green marbles are 14.Number of orange marbles are 8.Total number of marbles...

Q: The population mean annual salary for environmental compliance specialists is about ​$63 comma 00063...

A: It is given that mean and standard deviation are 63,000 and 5,800, respectively.By using central lim...

Q: A simple random sample of size n = 64 is obtained from a population with μ=80 and σ=16. ​(a) Descri...

A: (a) From the Central Limit Theorem, the sampling distribution of sample mean is normal distribution ...

Q: Please show TI 84 steps

A: It is given that margin of error (E) is 0.15 and the confidence level is 90%.Here,

Q: A corporation must appoint a president , chief executive officer, coo, cfo. It must appoint a planni...

A: From the given information,The total number of candidates and officers = 11The total number in the p...

Q: a highly selective boarding school will only admit students who place at least 1.5 standard deviatio...

A: It is given that the mean and standard deviation are 200 and 26, respectively.

Q: In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would pr...

A: Given datap= 0.45n =130Checking the validity of normal approximation

Q: A Harriss poll taken surveyed 2016 adults and found that 423 of them had one or more tattoos. can yo...

A: The hypotheses for the test is given below.Null hypothesis:H0: p = 0.25Alternative hypothesis:H1: p ...

Q: I don't understand how to solve for this. I'm having trouble understanding the percentages

A: Let us define the random variable X as the points for the final exam that are normally distributed w...

Q: About 1% of the population has a particular genetic mutation. 400 people are randomly selected.Find ...

A: From the given information,x is the random variable that follows binomial distribution

Q: a group of diners were asked how much they would pay for a meal. their responses were $7.50,$8.25,$9...

A: Five number summary:Minimum value: It represents the least value for any given set of observations.F...

Q: If a researcher reported for a single-sample t-test that t(17) = 2.90, p<.02, how many subjects w...

A: It is given that the test is single-sample t test and the degrees of freedom is 17.

Q: In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 241 accurate orders ...

A: The formula for the 95% confidence interval for the proportion is given below: 

Q: Calculate the probability for each of the following events: (A) X < 0:9 when X has the standard u...

A: The probability density function (PDF) of the uniformly distributed random variable with parameters ...

Q: What is the minimal sample size needed for a 95% confidence interval to have a maximal margin of err...

A: Given confidence interval 95%.maximal margin of error = 0.1.The critical Z score for 95% confidence ...

Q: The random variable x is known to be uniformly distributed between 1.0 and 1.5.     Show the graph...

A: a. Show the graph of the probability density function of Uniform distribution. From the given inform...

Q: Two fair dice are rolled, one blue, (abbreviated B) and one red, (abbreviated R). Each die has one o...

A: Note:Hey there! Thank you for the question. The Venn d=Diagram that you have posted is in image form...

Q: 7.4.46 Question Help When asked whether marriage is becoming obsolete, 758 out of 1968 randomly sele...

A: It is given that 758 out of 1,968 randomly selected adults who responded to a poll said yes. The sam...

Q: The probability distribution for the random variable x follows:   x f(x) 20 0.20 25...

A: Given data

Q: Please show TI 84 steps

A: Introduction:The 100 (1 – α) % confidence interval for the population mean, μ, for given population ...

Q: I'm studying for an exam tomorrow, and I keep getting stuck on the same section of problems, no matt...

A: The test is randomized, so, the answers will vary, one of the possible answers is given below:In thi...

Q: A facilities manager at a university reads in a research report that the mean amount of time spent i...

A: Since, we only answer up to 3 sub-parts, we'll answer the first 3. Please resumbit the question and ...

Q: Imagine that you look up a critical t value in a t- table and your observed t value for a specific  ...

A: Introduction:Suppose a t test is being performed with ν degrees of freedom, at level of significance...

Q: A small pilot study was conducted to compare cholesterol levels in individuals before and after a lo...

A: Preliminary calculation:Using the EXCEL formula “=NORM.S.INV(1– (0.05/2))”, the z-value for 95% conf...

Q: For this problem, carry at least four digits after the decimal in your calculations. Answers may var...

A: It is given that 39 are extroverts out of 65 professional actors.

Q: A history class has 75 members. If there is a 12% absentee rate per class meeting, find the mean, va...

A: It is given that n is 75 and p is 0.12.

Q: for this set of data, the standard deviation is equal to: 9,8,10,5,5,2,3,6,3

A: Mean:The formula for finding mean is shown below:

Q: Determine whether to use a permutation or combination to answer each question, and then determine th...

A: Permutation rule:There are n different items and r number of selections and the selections are made ...

Q: Consider a binominal experiment with 2 trials and p=0.4 a. Compute the probability of 1 success f(1)...

A: Given binomial experiment with n = 2 and p = 0.4The binomial probability for x number of success is ...

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers h...

A: The minimum head breadth that will fit the clientele is 3.2 and it is calculated below: Let us defin...

Q: Find k such that P(-k < Z < k) = .6970  it might help to sketch the situation

A: To value of k can be determine as:By using Z-table,

Q: Ackerman and Goldsmith (2011) found that students who studied text from printed hardcopy had better ...

A: The hypotheses to be tested are:H0: μ = 81.7, that is, the average score of entire class is 81.7;Ver...

Q: Suppose x is a normally distributed random variable with u 55 and a 4. Find a value xn of the random...

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

Q: The student council is hosting a drawing to raise money for scholarships. They are selling tickets f...

A: It is given that the number of tickets is 600 and the numbers of prizes are 1 grand, 4 second, and 1...