In a recent survey of high school students, it was found that the average amount of money spent on entertainment each week was normally distributed with a mean of $52.30 and a standard deviation of $18.23. Assuming these values are representative of all high school students, what is the probability that for a sample of 25, the average amount spent by each student exceeds $60?

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Given : Average bus time is: μ=31 minutes Standard deviation: σ=5 minutes The Z-score is calculated…

Q: In a recent study, the Centers for Disease Control and Prevention reported that the diastolic blood…

A: Solution: Let X be the diastolic blood pressure of adult men. From the given information, X follows…

Q: A Texas Instrument calculator operating life is normally distributed with a mean of 3,850 hours, and…

A: Given information- Population mean, μ = 3850 hours Population standard deviation, σ = 350 hours…

Q: Moore Reno, an officer in the highway patrol group, observed that the speeds of vehicles on a…

A:

Q: n a recent year, the ACT scores for high school students with a 3.50 to 4.00 grade point average…

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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: According to the children’s growth chart that doctors use as a reference, the heights of…

A:

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

A: The given data are: Mean, μ=31 minutes Standard deviation, σ=5 minutes n=40 For sample average, z is…

Q: Salaries at a large corporation are normally distributed with a mean of $45,000 and a standard…

A: The normal distribution shows the probability value using the standard score or raw score. It is…

Q: A student finds that the average price of a movie ticket in Washington is $12.25 and that the…

A: From the provided information, Mean (µ) = $12.25 Standard deviation (σ) = $2 Let X be a random…

Q: In a recent​ year, the total scores for a certain standardized test were normally​ distributed, with…

A: Given that, Mean = 500 Standard deviation = 10.7

Q: A study indicates that​ 18- to​ 24- year olds spend a mean of 120 minutes watching video on their…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A set of final examination grades in an introductory statistics course is normally​ distributed,…

A: Let "X" be the final examination grades in an introductory statistics course. Find z-value: Note…

Q: The average resident of Metro City produces 770 pounds of solid waste each year, and the standard…

A: We have to find probability that randomly selected person will produce more than 1000 pound wastwm

Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

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Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

A:

Q: Assume that the heights of adult puffins are normally distributed, with a mean of μ=μ= 15.9 inches…

A: Obtain the probability of obtaining a sample mean height less than 14.8 inches. The probability of…

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56…

A: Since you have posted multiple question, we only provide answers of first three subparts . Please…

Q: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…

A: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Solution: Let X be the transport time. From the given information, X has mean µ=28 minutes and a…

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: Let X represent the random variable   Mean=140 SD=5   X~ Normal (140, 5^2)

Q: Analysis of the number of tourists visiting Old Fort William reveals that the annual number of…

A:

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A:

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

A: Given X is normal Distributed with mean µ = 57.0 and standard deviation σ = 3.5 now will using…

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: Let X be number of calls received per hour. Given: μ=190,  and σ=20 We need to find the PX<163

Q: Given the amount of annual snowfall in Big Bear City is normally distributed with μ=62 inches, and a…

A: Here the amount of annual snowfall is normally distributed with mean=62 and standard deviation=10. A…

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

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Q: A professor at a university gives her large class an examination and finds that the scores follow…

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Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Let X be the transport time. From the given information, X has mean µ=28 minutes and a standard…

Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

A:

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

A:

Q: In a recently conducted study, families reported using an average of 70 gallons of gasoline per…

A:

Q: A study indicates that 18- to 24- year olds spend a mean of 120 minutes watching video on their…

A: Assume that the amount of time watching video on a smartphone per month is normally distributed and…

Q: The heights of 18-year-old men are approximately normally distributed with a mean of 68 inches and a…

A:

Q: The heights of 18 year-old men are approximately normally distributed, with a mean 68 inches and a…

A:

Q: In a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a…

A: Given data,μ=22.9σ=6.7P(X<18)=?

Q: Which most closely reflects the probability that a randomly selected bulb would last fewer than 940…

A: Let X denote the life of bulb. Given that X follows N(mean = 1000, SD = 50), then Z = (X - mean)/SD…

Q: In an article about the cost of health care, Money magazine reported that a visit to a hospital…

A: Given data,μ=328σ=92P(X>500)=?

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: A manufacturing company measures the weight of boxes before shipping them to the customers. If the…

A: Given, µ=90 σ=24 n=36

Q: A set of final examination grades in an introductory statistics course is normally​ distributed,…

A: Here, µ = 72, σ = 9.

Q: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 230 and…

Q: A study indicates that 18- to 24- year olds spend a mean of 115 minutes watching video on their…

A:

Q: According to the children’s growth chart that doctors use as a reference, the heights of…

A:

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Solution: Let X be the transport time. From the given information, X has mean µ=31 minutes and a…

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 heights of 18 year old men are normally distributed with a mean of 67 inches and a standard…

A: Given distribution is normally distributed with mean 67 and standard deviation 3 x~N(μ=67, σ=3)

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.