In determining automobile mileage ratings, it was found that the mpg in the city for a certain model is normally distributed, with a mean of 37 mpg and a standard deviation of 1.9 mpg Suppose that the car manufacturer samples six cals from Its assembly line and tests them for mileage ratings a. What is the distnbution of the mean mpg for the sample? b. What is the probability that the mean mpg of the sample will be greater than 39 mpg? c. What is the probability that the mean mpg of the sample will be less than 35.5 mpg?

Q: The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally…

A: Hey, since there are multiple subparts posted, we will answer the first three subparts. If you want…

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57…

A: Given that, mean, mu= 57 Standard deviation, sigma= 3.5 We know that, Z score=(X-mu)/sigma Here…

Q: The time that a shopper spends in the grocery store is normallydistributed, with a mean of 45…

A: Given Information: The time that a shopper spends in the grocery store is normally distributed with…

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 68…

A:

Q: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 31…

A: P(X>30)=1-Pz<30-311045=1-P(z<-0.67)=1-0.2514=0.7486

Q: A study shows that the cost of new textbook is approximately normally distributed with a mean P142…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: In determining automobile mileage ratings, it was found that the mpg (x) for a certain model is…

A: Given that, Mean = 32 Standard deviation = 1.3

Q: Most graduate schools of business require applicants for admission to take the GMAT exam. Suppose…

A: The random variable is score on the GMAT. It follows standard normal distribution. The population…

Q: The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student…

A: Given Observation and Calculation

Q: The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately…

A: Given data: Mean = 1252 Standard deviation  =  129

Q: The College Board National Office recently reported that in 2011-2012, the547,038 high school…

A: a) The probability that a high school junior who takes the test will score at least 610 on the…

Q: Tompkins Associates reports that the mean clear height for a Class A warehouse in the United States…

A:

Q: The golf scores for a school team were normally distributed with a mean of 72 and a standard…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: If the mass of 35 dogs in your neighborhood were normally distributed, with a mean of 11.2 kg and a…

A: Given data: Mean = 11.2 kg Standard deviation = 2.8 kg

Q: In a certain supermarket, a sample of 60 customers who used a self-service checkout lane averaged…

A: Introduction: Assume that the checkout times of the customers are independent of each other, between…

Q: Assume the salaries of elementary school teachers in the US are normally distributed with a mean of…

A: We bave to find given probability.

Q: A study indicates that the weights of adults are normally distributed with a mean ? of 140 lbs and a…

A: 1.Let X be the weight of adults. X follows normal distribution that has mean µ = 140 and the…

Q: An experiment investigated whether the stem diameters of a tulip would change depending on whether…

A: Hello, thankyou for the question. According to our honor code we can answer only three sub parts at…

Q: What is the probability that a randomly selected bag contains fewer than 1125 chocolate​ chips? ​(b)…

A: From provided information, chocolate chip cookie is approximately normally distributed with a mean…

Q: The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately…

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Q: The hotel industry has been greatly impacted by the COVID-19 pandemic. Suppose that traditionally…

A:

Q: The reading speed of second-grade students is approximately normal, with a mean of 90 words per…

A: a) The probability that a randomly selected student will read more than 95 words per minute is…

Q: in one region, the September energy consumption level for single-family homes are found to be…

A:

Q: A retailer believes that its new advertising strategy will increase sales. Previously, the mean…

A: Given that A retailer believes that its new advertising strategy will increase sales. Previously,…

Q: During my office hours (from 12pm to 6 pm), an average of about 1 student per hour comes in for…

A: Solution: Let X represents the number of student per hour comes in office for help .  The random…

Q: Cans of a popular soft drink are filled so that the actual amounts have a mean of 15.00 oz and a…

A:

Q: Rob Raydo, a data analyst in a certain bank, found that the mean amount of credit card debt per…

A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first question…

Q: In a biomedical research study, it was determined that the survival time, in weeks, of an animal…

A:

Q: In determining automatic mileage ratings, it was found that the mog in the city for a certain model…

A:

Q: Suppose that the monthly charges for cell phone plans in the United States are normally distributed…

A:

Q: A highway study of 8000 vehicles that passed by a checkpoint found that their speeds were normally…

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

Q: The time needed to complete a final examination in a particular college course is normally…

A:

Q: A firm’s marketing manager believes that total sales for next year will follow the normal…

A: Given information- Population mean, µ = $3200,000 Population standard deviation, σ = $250,000 We…

Q: Given a sample with a mean of 151 and a standard deviation of 27, find the probability that a…

A: Given :  sample with mean of 151 and standard deviation of 27 we have to find P(X > 158 )

Q: It has been reported that the average credit card debt for college seniors at the college  book…

A: Given Information :  It has been reported that the average credit card debt for college seniors at…

Q: According to the American Time Use Survey results released by the Bureau of Labor Statistics on June…

A: Given : μ = 168 , σ= 20 and n= 400       By Central Limit Theorem, x̅ follows a Normal…

Q: The number of plants pollinated by bees follows a normal distribution with a mean of 6,543 plants…

A: Given information Mean µ = 6543 plants Standard Deviation σ = 35 plants

Q: In one region, the September energy consumption levels for single-family homes are found to be…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Based on data from the National Health Board, weights of men are normally distributed with a mean of…

A:

Q: A report from the Illinois Department of Wildlife indicates that when a car and deer collide, there…

A: Given: 40 deer fatalities per 100 collisions between a car and a deer

Q: it was determined that the survival time, in weeks, of an animal subjected to a certain exposure of…

A:

Q: Rosebushes are known to produce rose blooms during their blooming period. A botanist (plant expert)…

A: Given: The researcher (botanists) plans to examine the number of rose blooms during the blooming…

Q: The hotel industry has been greatly impacted by the COVID-19 pandemic. Suppose that traditionally…

A:

Q: Traveling between EDC campus and Gulshan campus of Iqra university via shuttle bus takes, on…

A: The average time taken by the bus is 28 minutes. The standard deviation of the time taken by the bus…

Q: In one region, the September energy consumption levels for single -family homes are found to be…

A: It is given that the September energy consumption levels follows normal distribution with mean 1050…

Q: In a murder trial in Los Angeles, a shoe expert stated that the heights of men with size 12 shoes is…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: . The on-campus housing costs for a semester at a state university are Normally distributed with a…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: The number of cars crossing the Pigeon River border crossing each day is known to be normally…

A: GivenMean(μ)=2500standard deviation(σ)=600

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.