The number of eggs that a female fly lays in her lifetime is normally distributed with a mean of 800 eggs and a standard deviation of 100 eggs. If a random sample of 15 flies is chosen, find the mean and standard eror of the mean using the Central Limit Theorem.

Q: For the majority of maths tests taken at a school, it is shown that the test score is approximaly…

A: The normal distribution is the most useful theoretical distribution for continuous variable.  For…

Q: A random sample of 40 students has a mean annual earnings of​ $3120 and assume that the population…

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Q: If the sum of the weights of a sample of cows is (8568) kilograms and the standard deviation of the…

A: If the sum of the weights of a sample of cows is 8568 kg standard deviation of the weights is 21 kg…

Q: In a certain factory of rags, the time it takes for the workers to finish one rag is normally…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: The random variable X represents the average number of texts a teenager sends, where the…

A: Given, μ = 450σ = 150To find,P (X > 700) = ?

Q: If the probability of a defective bolt is 0.1, find (a) the mean, and (b) the standard deviation of…

A: here  p= probability of defective bolt = 0.1 q = 1-p = 0.9 n= 900 here use binomial theorem because…

Q: Use the z table to find the value k so that 40% of the scores are greater than k.

A: Normal distribution is widely used in statistics . It is very useful in modern times .

Q: A set of data items is normally distributed with a mean of 20 and the standard deviation of 8.…

A: z-score: A z-score describes how many standard deviations a data item in a normal distribution lies…

Q: The mean weight of 500 male students at a certain college is 151 lb and the standard deviation is 15…

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Q: Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a…

A: Given that, X: height of the 4-year old boy Mean : μ=103 cmStandard deviation σ =4.05 cm

Q: The weights of a certain brand of candies are normally distributed with a mean weight of 0.8551g and…

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 mean weight of 500 male students at a certain college is 80 kg, and the standard deviation is 8…

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Q: The mean life of a particular brand of light bulb is 1000 hours and the standard deviation is 50…

A: Introduction: Denote X as the random variable denoting the lifetime of a randomly selected bulb. It…

Q: he heights of American adult males are normally distributed with a mean of 177 cm and a standard…

A: Empirical Rule:   68% of the observations lies between one standard deviation from the mean. 95% of…

Q: The brain volumes (cm3​) of 20 brains have a mean of 1052.4 cm3 and a standard deviation of 122.2…

A: It is given that the mean is 1,052.4 and the standard deviation is 122.2.

Q: A random sample of 50 wheat producers from the Earth Kingdom are selling their product at an average…

A: From the provided information,

Q: The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of…

A:

Q: The reading speed of second grade students in a large city is approximately normal, with a mean of…

A: Given : mean = 92 S.D = 10

Q: Claire earned a score of 96 on Exam A that had a mean of 100 and a standard deviation of 10. She is…

A: Here Claire scores 96 for exam A. We need to find the mark equivalent to exam A for exam B. Given…

Q: The brain volumes (cm3) of 20 brains have a mean of 1138.1 cm3 and a standard deviation of 120.4…

A: Solution: Given information : n=20 Sample size x=1138.1 cm3   Sample mean s=120.4 cm3  Sample…

Q: The lifetime of a 2‑volt non‑rechargeable battery in constant use has a Normal distribution, with a…

A: It is known that X is the lifetime of a 2‑volt non‑rechargeable battery with mean 516 hours and a…

Q: In what range would you expect to find the middle 98% of amounts of nicotine in these cigarettes…

A: The variable x1 be the lower amount of nicotine in the cigarette, and variable x2 be the upper…

Q: professor is concerned that the two sections of college algebra that he teaches are not performing…

A: Given : Claim : Two sections of college algebra that he teaches are not performing at the same…

Q: Suppose the scores of a standardized test are normally distributed. If the population standard…

A: From the given information, the population standard deviation is 4, the confidence level is 95% and…

Q: A sample of 53 female workers and another sample of 75 male workers from a state produced mean…

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Q: Addison earned a score of 390 on Exam A that had a mean of 450 and a standard deviation of 25. She…

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Q: A sample of 2000 observations has a mean of 74 and a standard deviation of 12. Using Chebyshev’s…

A: Given information: x¯=74s=12n=2000 According to Chebyshev's theorem at least 1-1k2of the data lies…

Q: The breaking strength X(kg) of a certain plastic block is normally distributed with a mean of 1250kg…

A: The breaking strength X(kg) of a certain plastic block is normally distributed with a mean of 1250kg…

Q: Layla earned a score of 140 on Exam A that had a mean of 200 and a standard deviation of 50. She is…

A: Given :  Score on exam A = X = 140  mean of X =  200  standard deviation of X =  50. Score on exam B…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A: Let z-scores are normally distributed with a mean of 0 and a standard deviation of 1.

Q: The weights of a certain brand of candies are normally distributed with a mean weight of 0.8563 g…

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Q: Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard…

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Q: A sample of 100 resistors has an average resistance of 50 Ω and a standard deviation of 5 Ω. A…

A: Given that, A sample of 100 resistors has an average resistance of 50 Ω and a standard deviation of…

Q: Elijah earned a score of 228 on Exam A that had a mean of 200 and a standard deviation of 40. He is…

A: We have to find score required in exam b.

Q: The height of 1000 students are normally distributed with a mean of 170.5 centimeters and a standard…

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Q: given distribution has a population mean, μ, of 129 and a population standard deviation, σ, of 13.…

A:

Q: The Central Limit Theorem says that the standard deviation of the sampling distribution of the…

A: we have to choose the correct оption.The central limit theorem says that the mean of the sampling…

Q: Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He…

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Q: The length of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

A: Ans#- Given, The length of pregnancies are normally distributed with a mean μ = 266 days…

Q: If the z-value for a given x of a random variable Z is z =1.06, and the distribution of X is normal…

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Q: In a certain factory of rags, the time it takes for the workers to finish one rag is normally…

A:

Q: The heights (in inches) of males in the United States are believed to be normally distributed with…

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Q: In a recent​ year, the mean test score was 1539 1539 and the standard deviation was 310 310. The…

A: Given:

Q: he Visa credit card company has determined that the amount its customers spend per transaction is…

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Q: The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with…

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Q: The inside diameter of a cylindrical tube is a random variable with a mean of 3 inches and a…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: The weights of a certain brand of candies are normally distributed with a mean weight of 0.8573 g…

A: Let , X be the weight of certain brand of candies. The random variable X follows Normal distribution…

Q: • The mean weight of 500 male students in a certain college is 151 lb. and the standard deviation is…

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Q: An orange juice producer buys all his oranges from a large orange grove. The amount of juice…

A: An orange juice producer buys all his oranges from a large orange grove. The amount ofjuice squeezed…

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.