A local credit card agency reported to the government that the unpaid balance for their customers follows a bell shaped distribution with a mean of $5500 with a standard deviation of $500. How many customers must an auditor randomly sample to ensure that the central limit theorem will apply?

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A: GivenMean(μ)=180standard deviation(σ)=20

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A: From the provided information, Standard error (SE) = 5 Population standard deviation (σ) = 45

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

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Q: A trucking company determined that the distance traveled per truck per year is normally distributed,…

A: Given Information: Mean (u) = 30 thousand miles  Standard deviation (s) = 12

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A: The standard deviation is 45 and the standard error is 12.

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A:

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A: Solution:

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

A: Given : X ~ Nμ, σ mean, μ = $55000 S.D, σ = 4500 a. P(household will have an income between $50000…

Q: An Internet provider contacts a random sample of 300 customers and asks how many hours per week the…

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Q: Consider that in a population of Filipino adults ages 18 to 65, Body Mass Index (BMI) is normally…

A: Given that, Mean, mu= 28 And standard deviation, sigma= 6 P(X=x)= 20% = 0.20 We know that,  Z score=…

Q: n their website, a property management company states that the mean monthly rent for apartments on…

A: Given: Population meanμ=675Sample size(n)=20Sample standard deviation(s)=21

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A: Let X be the random variable from normal distribution with mean (μ) = $180 and standard deviation…

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A: It is given that the mean is 60 and standard deviation is 25.

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Q: In testing a specific vehicle tire over rugged terrain, it is found that 20% of the vehicles fall to…

A: Given that n =15 and p = 20%=0.20.

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: According to a money report by a government institution, 18-to-20-year-old college students have an…

A: Given that  n=40 X̄=546 S=67.25 μ=569

Q: A fast food chain advertises that their large bag of French fries has a weight of 150 grams.  Some…

A: State the hypotheses.

Q: snip

A: Given: σ=0.2n=5 The standard deviation in the sampling distribution is obtained as below:…

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Q: A trucking company determined that the distance traveled per truck per year is normally distributed,…

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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: 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…

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Q: If the average length of all low-weight babies at the time of birth is known to be 36.5 centimeters…

A: Given Data: Mean=36.5 SD=2.4

Q: In a mid-size company, the distribution of the number of phone calls answered each day by each of…

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Q: A desktop PC uses 120 watts of electricity per hour based on 4 hours of use per day. Assume the…

A: Given that mu = 120 , s.d = 6,n=500 p(x<106 ) =?  approximately how many will use less than 106…

Q: The AAA reports that the average time it takes to respond to an emergency call is 25 minutes. Assume…

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Q: A district councilor informs the prospective developer of a shopping centre that the average monthly…

A: Solution: Given information: n= 25 Sample size x = 2400 Sample mean μ= 2500 Population mean σ= 200…

Q: A recent report indicates that 2-year-old children from the well-educated suburban families watched…

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Q: Given the population of men has normally distributed weights with a mean of 172 lb and a standard…

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Q: A lawyer commutes daily from his suburban home to his midtown office. The average time for a​…

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

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A: Let X be the random variable such that mealworms for sale. x¯: The sample mean of mealworms for…

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.