the amount of daily sales of a candy shop in weekdays is approximately normally distributed with a mean of $4200 and a standard deviation of $720. (i) Calculate the probability that the amount of daily sales is between $2400 and $3192. (ii) Find the daily sales amount, k, for which 33% of daily sales amounts are below k. (iii) Calculate the probability that 15 randomly selected days have an average daily amount of sales above $4600.

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A:

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

A: Given, mean  (µ) =  1050 Standard deviation (σ) = 218 Let X be a random variable, X~ Normal (µ =…

Q: The weights of newborn for hippopotami is approximately Normal, with a mean of 86 pounds and a…

A: Given,mean(μ)=86standard deviation(σ)=10

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: Assuming that the scores of Grade 11 students in Statistics and Probability in their third quarter…

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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: The time it takes a computer repair company to diagnose a computer follows a normal distribution…

A: Given data  X = time taken for computer repair company to diagnose a computer μ=50   σ=12…

Q: A manager is interested in finding the average number of sales per day at a sporting goods store. If…

A: Obtain the sample size. The sample size is obtained below as follows: Use EXCEL Procedure for…

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: In​ 2008, the per capita consumption of soft drinks in Country A was reported to be 19.11 gallons.…

A: GivenMean(μ)=19.11standard deviation(σ)=5

Q: The reading speed of second grade students is approximately normal, with a mean 83 WPM and a…

A: Given,   Mean = 83 Standard deviation = 11

Q: The distribution of the number of viewers for the American idol television show follows a normal…

A: a) Probability that next week show will have between 30 and 34 million viewers: The probability that…

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

A: Provided information is ; Let X be the monthly utility bill mean(μ) = 100 standard deviation(σ)=15…

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

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

Q: Peter collected data to find that the finishing times for cyclists in a race has a normal…

A: 68-95-99.7-rule: Let X be an observation from a normal distribution, having mean µ and standard…

Q: A college entrance exam scores are approximately normally distributed with a mean value of 145 and a…

A: Solution: Let X be the college entrance exam score. From the given information, X follows normal…

Q: According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an…

A:

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: The average credit card debt for public school teacher is 14,975. If the debt is normally…

A: Given, Average credit card debt for public school teacher=X=14975 Standard deviation= 5650…

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: (a) Let x be the monthly utility bills in a city which follows normal distribution with mean 100,…

Q: Suppose a survey finds that the mean monthly rent of a two-bedroom apartment in seattle is $560,…

A: Given Information:Mean, μ=$560Standard Deviation, σ=$35

Q: The lifespans of the light bulbs produced by a Filip Company are normally distributed with a mean of…

A: GivenMean(μ)=1150standard deviation(σ)=175

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

A: We have to find probability

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

A: Given data , Admissions (x)                   P(x)     1000                               0.6…

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: The grades of a statistics midterm are normally distributed with a mean of 79 and a standard…

A: Normal distributionμ=79σ=3.5pgrade between74 and 80=?

Q: A set of data items is normally distributed with a mean of 60. Convert the data item of 55 to a…

A: Given that: Mean = 60Standard deviation = 5Data item = 55

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

A:

Q: The average income of a graduate from the University of Eastern West Virginia is $50,000 per year,…

A: X follows a Normal distribution with mean = 50000 and S.D = 2500 Then z=(x-mean)/SD =…

Q: The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.5…

A:

Q: The daily withdrawals from an ATM located at a service station is normally distributed with a mean…

A: Given information: μ=5000, σ=800 x=6400 Use the formula for the normal distribution to determine the…

Q: a) What is the probability a randomly selected student will read more than 88 WPM?  b)What is the…

A: Answer: Given that the reading speed of second grade students is approximately normal mean = μ = 83…

Q: Suppose your customers' incomes are normally distributed with a mean of $37,500 with a standard…

A:

Q: A livestock company reports that the mean weight of a group of young steers is 1350 pounds with 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: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A:

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

A: It is given that the mean is 100 and the standard deviation is 15.

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

A:

Q: The lifespans of the light bulbs produced by a Filip Company are normally distributed with a mean of…

A: Given,mean(μ)=1150standard deviation(σ)=175

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 examining the invoices issued by a company, an auditor finds that the dollar amounts of invoices…

A:

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.