The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Thirty-six owners responded, and the sample mean water use per day was 64 gallons with a standard deviation of 8.8 gallons per day.   1.What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)         2.Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Q: Find the mean and standard deviation of the following sample taken from a larger data set of lengths…

A: Given data, x 12 Inches 40 Centimeters 1.5 feet 15 inches 35 centimeters 1.25 feet…

Q: Salaries for teachers in a particular elementary school district are normally distributed with a…

A: The properties of the normal distribution is,   The Normal distribution curve is and bell shaped…

Q: Blood sugars from eight patients in a rural clinic were recorded last summer by the local physician.…

A: Given blood sugar results are120,145,200,250,79,100,894,255sample size(n)=8

Q: In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on…

A: The question is about normal dist. Given : Popl. mean gas mileage of the vehicles ( μ ) = 23 mpg…

Q: n the state of Ohio, data has shown that 9% of adults are illiterate (lack basic reading and writing…

A: Solution: Given information: n1=300 Sample size of adults from Alabama n2=250 Sample size of adults…

Q: An Internet company sells computer parts and accessories. The annual salaries for all the employees…

A:

Q: A standardized measure of achievement motivation is modeled by a normal distribution with a mean of…

A: Obtain the achievement score The achievement score is obtained below as follows:

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: The mean annual income for people in a certain city (in thousands of dollars) is 42, with a standard…

A: The formula for mean of the Z-score is, Z=x¯-μσn Here n is the sample size, μ is the population mean…

Q: A large company has many employees and the annual salaries of those employees follow a normal…

A: X follows a Normal distribution with mean = 70000 and S.D = 12000 Then z=(x-mean)/SD =…

Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…

A:

Q: A company produces plastic parts for an automobile manufacturer. The diameter of a plastic gear they…

A: Let X be a continuous random variable of diameter of a plastic gear (in​ mm) is normally​…

Q: ctrical customers are often told what the average amount of electricity is used for similar homes in…

A: The mean is μ=1650Standard deviation is σ=320z-value at 86% confidence is Zc=1.18x=?

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65…

A: The random variable  be the speed of a sample of vehicles along a stretch of highway.Mean: miles…

Q: The annual commissilons per salesperson employed by a retailer of mobile communication devices…

A: Let X be the random variable from normal distribution with mean (μ) = $ 41200 ans standard deviation…

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

A:

Q: Consider the variable, type of birth control practiced (e.g., an IUD, condoms, none, etc). Which…

A:

Q: The average travel time to work for a person living in Kokoma, Indiana, is 17  minutes.  Suppose the…

A: Solution: Let X be the average travel time to work for a person living in Kokoma  Indiana has normal…

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65…

A: Given that  X~N( μ = 65 , ? = 5 ) μ = 55 , ? = 5

Q: What level of measurement do the variance and standard deviation assume?

A: Variance and standard Deviation tells about the spread or variation in the dataWe calculate the…

Q: The average hourly wage for a certified dental assistant is $15.71 per hour, with a standard…

A:

Q: The stature of men is normally distributed, with a mean of 69.0 inches and a standard deviation of…

A: From the given information, the mean of women is 63.6 inches and standard deviation is 2.5 inches.…

Q: the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 70 miles…

A:

Q: The mean gas mileage for cars driven by the students at Chillville High Schoo is 28.0 miles per…

A: Normal distribution is continuous distribution which has many real life applications. Standard…

Q: Give the mean and the standard deviation of the distribution of means for mean=100; Variance=100;…

A:

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 67…

A: Empirical rule is used in statistics and probability.

Q: the grouped data?

A:

Q: Calculate the mean and median of the data. Find the standard deviation and coefficient of variation…

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: Our aim…

Q: The average McDonald's restaurant generates $2.2 million in sales each year with a standard…

A: The random variable sales follow normal distribution. We have to test whether the average sales…

Q: The mean GPA for 50 students was 3.02 and the standard deviation was 0.3. Part A : Assume that the…

A: Given : for 50 students  Mean GPA (μ) =3.02 Standard deviation (S.D)(σ) = 0.3

Q: Use the empirical rule to estimate the number of farms whose land and building values per acre are…

A: here given , The mean value of land and buildings per acre from a sample of farms is ​$1600​,with a…

Q: A quick survey of peanut butter prices had standard deviation and mean of $0.26 and $3.68,…

A:

Q: Can the standard deviation of a data set be zero

A: Standard deviation can not be negative.

Q: The students of a large university in Luzon were studied regarding their hours of sleep at night.…

A: As the distribution of the hours of sleep can be modeled as normal distribution with mean μ of 6.9…

Q: A study reported on essential organic molecules and a Normal model can be used to describe these…

A: As per our guidelines we are suppose to answer three sub parts. Given,mean(μ)=194standard…

Q: We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51…

A:

Q: According to a health foundation survey from 2018 and 2016, the average annual premiums for…

A: The provided information is, The confidence level is 97%. Therefore, the level of significance is 1…

Q: In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on…

A: 3.37) The mean is 23.0 and the standard deviation is 4.9.

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.