Suppose that 60% of people in the population support raising taxes to pay for wetlands preservation. Suppose you randomly sample 100 people and ask them whether they support raising taxes for this purpose. If you divide the number of people in your sample who support raising taxes by the total number of people asked (100), you obtain a random variable, let’s call it p^(p hat). Use the central limit theorem to come up with the approximate probability that p hat is within 0.1 of the true proportion 0.6.

Q: You have 169 light bulbs whose lifetimes are independent normal random variables with mean…

A:

Q: Suppose there exists a population where 25% of its members possess a certain characteristic. Let…

A: Suppose there exists a population where 25% of its members possess a certain characteristic.

Q: ALICE and YouGov conducted an online poll among Americans hotel guests of more than 18 years old to…

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Q: It has been observed that the number of traffic accidents on Long Island Expressway requiring…

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Q: One box contains 5 red balls and 4 green balls. Let 3 balls are randomly chosen from the box. Let X…

A: The probability mass function is the probability distribution of a discrete random variable X. And…

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Q: One of the major products at a large company is french fries that are sold on the commercial market…

A: p=0.06n=400

Q: A large genetic pool contains 65 percent of allele ‘A’ and 35 percent of allele ‘a’. If 20 alleles…

A: Given that P(allele A)=65%=0.65 and P(allele a)=35%=0.35 The expected number of allele 'A' among 10…

Q: Let, x, represent the number of guests interested in gaining experiences of local cuisine…

A: Let, x, represent the number of guests interested in gaining experiences of local cuisine…

Q: Suppose you repeatedly draw samples of size 100 and calculate their mean. Applying the central limit…

A: Sampling distribution of sample mean: If the population is normally distributed then the sampling…

Q: Employers want to know which days of the week employees are absent in a five-day work week. Most…

A: The chi-square good ness of fit  is a statistical hypothesis test used to determine whether a…

Q: The proportion of individuals that regularly smoke in  a population is known to be 0.25. Applying…

A: Given that: p = 0.25 n = 1000

Q: Calculate using the normal approximation the probability that exatcle five people will have type O…

A: Given : There are 50% of the population that have type O blood  and 16 people were selected.

Q: Giselle is a personnel manager in a large corporation. Each month she must review 36 of the…

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Q: ohn Jones a statistician for the US Census Bureau. He has been assigned the task of determining…

A: Solution: Let pC  represents the true population  proportion of female births in California.  pN…

Q: doctor is interested in the proportion of patients which live at least 5 years after being diagnosed…

A:

Q: Suppose that the amount of time that students spend studying in the library in one sitting is…

A: Solution: Let X be the amount of time that students spend studying in the library in one sitting.…

Q: Suppose that the amount of time that students spend studying in the library in one sitting is…

A: The amount of time that students pend studying in the library in one sitting is indicated by X. In…

Q: How many different simple random samples of size 5 can be obtained from population with size is 50?

A:

Q: One resistor is 100 K ohms is needed to complete a prototype of electrical circuit. A student of…

A: Consider the random variable, "Xi=number of resistors that are 100 Kohms".Only two resistors are…

Q: Employers want to know which days of the week employees are absent in a five-day work week. Most…

A: Given Level of significance ɑ=0.05=5%

Q: Suppose it is reported that 70 % will vote for candidate A. You think this % is different in your…

A: From the provided information, 70% vote for candidate A that is population proportion (p) = 0.70…

Q: Suppose that the population mean flight time between cities 1 and 2 is 240 minutes with a population…

A: Given that.   X~N( μ , ?^2 )   μ=240     , ?=20   Z-score =( x - μ )/?

Q: An automatic machine in a manufacturing process produces a certain subcomponent with lenghts that…

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Q: A random sample of 4 insurance claims is selected from a lot of 20 that has 3 nonconforming units.…

A: Given that n=4, N=20, M=3 Let us define X as the number of non-conforming units. The probability…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: Let X be random variable which represents the graduates salary after 10 years of graduation. Here it…

Q: The central limit theorem describes three important properties of all distributions of sample means…

A: In question, We'll discuss about all three properties of central limit theorem.

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.