gineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 5.7-in and a standard deviation of 0.8-in. Due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 1.7% or largest 1.7%. What is the minimum head diameter that will fit the clientele? min =  What is the maximum head diameter that will fit the clientele? max =  Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Q: The physical plant at the main campus of a large state university receives daily requests to replace…

A: We want to find the probability (%) P(49<X<79)= ?  X~N(μ=49,σ2=102)

Q: Find the proportion of customers who use ATMs less than times 55. Use four decimal places for your…

A: It is given that  From first data: Mean, μ = 40 Standard deviation, σ = 11.3   From second data:…

Q: The Management Science Association (MSA) has arranged to hold its annual conference at theRiverside…

A: Let X be the random variable denoting the number of members attending the conference. Then we know…

Q: A recent survey reported that small businesses spend 24 hours a week marketing their business. A…

A:

Q: To compare the braking distances for two types of tires, a safety engineer conducts 35 braking tests…

A:

Q: Teddy Bower is an outdoor clothing and accessories chain that purchases a line of parkasat $10 each…

A: Given data, Cost price of Parkas = $10 Selling price of Parkas = $22 Mean in Demand = 2100 Standard…

Q: To avoid difficulties with the Federal Trade Commission or state and local consumer protection…

A: mu = 12.2 n = 9 xbar = 12 s = 0.3

Q: A recent survey reported that small businesses spend 20 hours a week marketing their business. A…

A: From the provided information, Sample size (n) = 83 Sample mean (x̄) = 19.1 Population standard…

Q: When designing equipment, one common criterion is to use a design that accommodates 95% of the…

A:

Q: The mean annual income of certified welders is normally distributed with a mean of $50,000 and a…

A: Solution: The shipbuilding association wishes to find out whether their welders earn more or less…

Q: If gasoline in a certain part of the country has a mean price of $1.62 per gallon and a standard…

A: From the given information, Mean = $1.62 gallon Standard deviation =8 cents =$0.08 gallon (since 100…

Q: A physician routinely makes physical examinations of children and is concerned that a three-year-old…

A: The known values are, Use the Range Rule of Thumb, the minimum usual heights of three-year-old…

Q: A recent survey reported that small businesses spend 24 hours a week marketing their business. A…

A: Given information: Sample size(n)=80. Sample mean(X¯)=23.0 Population standard deviation(σ)=5.4.…

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

A: Given Information: Mean μ=6.4 Standard deviation σ=0.9 The helmets will be designed to fit all men…

Q: The waiting time for patients at a local walk-in health clinic follows a normal distribution with a…

A: n = sample size = 50 x̄ = sample mean  = 14.25 Minutes μ = population mean = 15 Minutes σ =…

Q: A small computing centre has found that the number of jobs submitted per day to its computers has a…

A:

Q: The operation manager of a large production plant would like to estimate the average amount of time…

A:

Q: According to the records of an electric company serving the Boston area, the mean electricity…

A: GivenMean(μ)=1650standard deviation(σ)=320

Q: A recent survey reported that small businesses spend 26 hours a week marketing their business. A…

A:

Q: The credit card balances on 1,000 accounts at the Jefferson Valley Bank have a mean of $760 and a…

A: mean = 760 s = 120 n = 1000

Q: The heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of…

A: Given that μ=63.6 and σ=2.5. a) The requirement that women must be at least 70 inches tall to join.…

Q: An online stock trading company makes part of their revenue from clients when the clients trade…

A: sample mean (x̄)  = 82 population mean (µ) = 85 sample size (n) = 120 sample standard deviation (s)…

Q: In an article in the Journal of Management, Joseph Martocchio studied and estimated the costs of…

A: If the sample size (n) is large (greater than or equal to 30), then the sample mean follows normal…

Q: The weights of bags of baby carrots are normally distributed, with a mean of 31 ounces and a…

A: Solution: Let X be the weight of bag of baby carrots. From the given information, X follows normal…

Q: The physical plant at the main campus of a large state university receives daily requests to replace…

A: We want to find the probability by using emperical rule

Q: A banker finds that the number of times people use automated-teller machines (ATMs) in a year are…

A: The mean is 40 and the standard deviation is 11.

Q: The manager of a local gym has determined that the length of time patrons spend at the gym is a…

A:

Q: Suppose the mathematics SAT scores are normally distributed with a mean of 500 and a standard…

A: Given that  X~Normal(μ =500 , ? =100) X=SAT score  Z-score=(X-μ)/?

Q: The total blood cholesterol levels in a certain Mediterranean population are found to be normally…

A: We have to find given probability

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

A: We have given that, μ=6, σ=1. We have to find the minimum head breadth that will fit the clientele…

Q: A recent survey reported that small businesses spend 26 hours a week marketing their business. A…

A: We have to find test statistic.  z = x¯-μσn Where , x¯ is sample mean  σ is population standard…

Q: A newspaper article reported that people spend a mean of 6.5 hours per day watching TV, with a…

A: Given data ,μ=6.5σ=2.0Pz>z=10 %

Q: The waiting time for patients at a local walk-in health clinic follows a normal distribution with a…

A: We have to find hypothesis..

Q: Suppose that the annual household income in a small Midwestern community is normally distributed…

A: Solution: Let X be the annual household income in a small Midwestern community is normally…

Q: A popular soft drink is sold in 1-liter (1,000-milliliter) bottles. Because of variation in the…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if…

Q: A constructor decided to build homes that will include the middle 80% of the market. If the average…

A: The middle 80% is that 40% to the right of the mean and the 40% to the left of the mean.Hence, the…

Q: Suppose the average height of a two year old male is normally distributed with a mean of 34.2 inches…

A: Given, Mean = μ = 34.2standard deviation = σ = 2.9

Q: The operations manager of a large production plant would like to estimate the average amount of time…

A: Since we know population standard deviation, use z-distribution to find z-critical value. Find…

Q: The weights of bags of baby carrots are normally​ distributed, with a mean of 32 ounces and a…

A: Here, µ = 32 and σ = 0.37.

Q: The weights of bags of baby carrots are normally​ distributed, with a mean of 31 ounces and a…

A: From the provided information, Mean (µ) = 31 Standard deviation (σ) = 0.34 X~N (31, 0.34)

Q: The weight of male contestants is normally distributed with a mean of 96 kg pounds and a standard…

A:

Q: A researcher reports that the average income of system analysts in Makati is P44,000 per month. A…

A: Given: Average(μ)=44000sample size(n)=30Sample mean(x¯)=45800Standard deviaion(s)=5400

Q: Automobile manufacturers have to design the driver's seat area so that both tall and short adults…

A: (a) Let X denote the heights of adult men in the United states and it follows normal distribution…

Q: If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12,…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: The combined math and verbal scores for students taking a national standardized examination for…

A:

Q: An online stock trading company makes part of their revenue from clients when the clients trade…

A: Givensample size(n)=98Mean(x)=85standard deviation(s)=17α=10%=0.10

Q: An online stock trading company makes part of their revenue from clients when the clients trade…

A: In the given problem we have,  n = sample size = 120 The average number of trades per year was 82…

Q: The physical plant at the main campus of a large state university recieves daily requests to replace…

A: Given that, Mean = 46 Standard deviation = 7

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.