Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling distribution of sample means x.(a) As the sample size becomes increasingly large, what distribution does the x distribution approach?O sampling distributionO binomial distributionO normal distributionO uniform distribution(b) As the sample size becomes increasingly large, what value will the mean of the x distribution approach?OHIO oO μ/nΟμίνηΟμ(c) What value will the standard deviation of the sampling distribution approach?O g/nΟμO oO g/√nO ox(d) How do the two x distributions for sample size n = 50 and n = 100 compare? (Select all that apply.)The standard deviations are o / 50 and o/100, respectively.00The standard deviations are the same.The standard deviations are μ / 50 and μ / 100, respectively.The standard deviations are o/ √50 and o/ √100, respectively.The standard deviations are μ/ √50 and μ/ √100, respectively.The means are the same.

Let x be a random variable representing the amount of sleep each adult in New York City got last…

Answered: Let x be a random variable representing…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=156 days and standard deviation σ=12 days. (b) Suppose a random sample of 19 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is skewed right/skewed left /normal with μx = _____ and σx = _____
Students in a statistics course take their first exam and the class gets μ = 75.75 and σ = 7.75. The distribution is normally distributed (bell curve shaped). The professor takes all the scores and turns them into z-scores. What is true of the new z-score distribution that the professor has made? Group of answer choices
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Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P =
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Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 1.0 minutes and standard deviation of 0.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 11 customers in the first line and n2 = 30 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.5 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i

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