Assume that birth weights of full-term babies are normally distributed with mean 7.51 pounds and standarddeviation of 0.66 pounds.A. What is the probability that a full-term baby weighs less than 7.28 pounds at birth?Round to 4 decimal places.B. What is the sampling distribution of the sample mean birth weight of 25 babies?The sampling distribution is?Answer:Answer:less than 7.28 pounds?C. If a random sample of n = 25 babies is selected, what is the probability that their mean birth weight is7g10with mean. Do not round your standard deviation.bRound to 4 decimal places.bp8and standard deviationkP

Answered: Image /qna-images/answer/f33653a5-33e0-49fa-a64c-db8e926b3326.jpg

Answered: Assume that birth weights of full-term…

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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CNNBC recently reported that the mean annual cost of auto insurance is 968 dollars. Assume the standard deviation is 259 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of I? I - N( c. What is the probability that one randomly selected auto insurance is less than $1015? d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is less than $1015. e. For part d), is the assumption of normal necessary? O YesO No
In a metal fabrication process, metal rods are produced that have an average length of 20.5meters with a standard deviation of 2.3 meters. A quality control specialist collects a randomsample of 30 rods and measures their lengths.a. Describe the sampling distribution of the sample mean by naming the model andtelling its mean and standard deviation.b. Suppose the resulting sample mean is 19.5 meters. Do you think that this sampleresult is unusually small? Explain.
Monthly cell phone bills for residents of a city have mean €60 and standard deviation €12.Simple random samples of 100 are drawn and the mean is determined for each sample. Usenormal distribution curves where necessary. a. What is the sample size, n?b. Find the standard deviation of the sampling distribution of sample means.c. What is the probability that the mean of a sample is greater than €70?
The p hat =0.25, proportion standard deviation=0.065, and z=1.960. 34. What is the size of the sampling proportion?* A. small B. large C. both small and large D. cannot be determined
A variable of a population has a mean of µ = 82 and a standard deviation of o = 9. a. Identify the sampling distribution of the sample mean for samples of size 81. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 81? Why or why not? a. What is the shape of the sampling distribution? normal uniform skewed O bimodal What is the mean of the sampling distribution? Hi = (Simplify your answer.) What is the standard deviation of the sampling distribution? (Simplify your answer.) b. In answering part (a), what assumptions did you make about the distribution of the variable? A. It was assumed that the variable was normally distributed. B. No assumptions were made because, for a relatively large sample size, the sampling distribution is normal, regardless of the distribution of the variable under consideratio
The average score for games played in the NFL is 21.3 and the standard deviation is 8.9 points. 49 games re randomly selected. Round all answers to 4 decimal places where possible and assume a normal listribution. a. What is the distribution of a? N( 21.3 8.9 b. What is the distribution of x? c. P( > 21.6929) = d. Find the 63th percentile for the mean score for this sample size. e. P(21.5929 < ¤ < 22.4357) = %3D f. Q1 for the î distribution = %3D g. P( x < 1013.9521) = h. For part c) and e), is the assumption of normal necessary? O YesO No lint: ome Helpful Videos: • The Central Limit Theorem for Sums Finding the Sampling Distribution D
Suppose that the efficacy of a certain drug is 0.49. Consider the sampling distribution (sample size 166) for the proportion of patients cured by this drug. n = a. What is the mean of this distribution? b. What is the standard error of this distribution? Round the answer to three decimal places. ent Submit Question ry ent with
The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample ofn=70, find the probability of a sample mean being less than 24.2 if p = 24 and o= 1.23. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. For a sample of n = 70, the probability of a sample mean being less than 24.2 if u = 24 and o = 1.23 is (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean be considered unusual because it has a probability that is than 5%.
CNNBC recently reported that the mean annual cost of auto insurance is 956 dollars. Assume the standard deviation is 280 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of T? T - N( c. What is the probability that one randomly selected auto insurance is more than $906? d. a simple random sample of 38 auto insurance policies, find the probability that the average cost is more than $906. e. For part d), is the assumption of normal necessary? O YesO No
CNNBC recently reported that the mean annual cost of auto insurance is 968 dollars. Assume the standard deviation is 259 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? T - N( c. What is the probability that one randomly selected auto insurance is less than $1015? d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is less than $1015. e. For part d), is the assumption of normal necessary? O YesO No
A Trucking Company claims that the mean weight for their delivery trucks when they are fully loaded is 7,000 pounds and the standard deviation is 200 pounds. Assume that the population follows a normal distribution and fifty trucks are randomly selected and weighed. Within what limits will 95% of the sample means occur?Sample means between blank1 - Numeric Answer and blank2 - Numeric Answer Round your answer to one decimal place.
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