The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days. In what range would you expect to find the middle 95% of most pregnancies? Between and If you were to draw samples of size 52 from this population, in what range would you expect to find the middle 95% of most averages for the lengths of pregnancies in the sample? Between and

Q: A population has mean 49 and standard deviation 5. What is the data value that has a z-score of 2?…

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Q: IQ scores have a mean of 100 and a standard deviation of 15. What percentile corresponds to an IQ…

A: Given that Mean =100  Standard deviation =15  We have to the percentile  corresponding to an IQ…

Q: 95% of 80 freshman history students scored between 70% and 80% on a take home quiz. If this data is…

A: Given,  n=80 α= (1-0.95) =0.05 Let X denote the score of freshmen. As per t-distribution table, the…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 266 days…

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Q: The scores at a golf course recorded last year followed a normal distribution with mean 78 and…

A:

Q: Suppose each one overlaps with equal probability because of 6 of a membrane. Imagine a game played…

A: When 4 dice are rolled the sample space is 64=1296 The sum 6 can be done by the numbers given by the…

Q: Angela polled her first grade class about their family pets. The following data lists the number of…

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Q: The mean rate for cable t.v.from a sample of 80 households was $29 per month with a standard…

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Q: Scores for a civil service exam are normally distributed, with a standard deviation of 8. To be…

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Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: Given : Mean , μ = 267 days population standard deviation , σ = 17 days   a) We need to calculate x1…

Q: There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on…

A: From the provided information, For ACT score: Mean (µ) = 21.5 Standard deviation (σ) = 5.4 For SAT…

Q: Kelsey Matthau is an advisor for a high school. The high school offers a class for students…

A: The Given hypothesis test for the difference between two means of independent samples is…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A:

Q: A statistician was exploring a set of data representing a group of 121 women.  The mean was 49 and…

A: Sample size, n = 121 Mean = 49 Variance σ2 = 9 We have to find the standard deviation.

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 266 days…

A: The mean is 266 and the standard deviation is 17.

Q: Overweight Men For a random sample of 60 overweight men, the mean of the number of pounds that they…

A: From the provided information, Sample size (n) = 60 Sample mean (x̄) = 31 pounds Standard deviation…

Q: Suppose that the distribution of Writing SAT scores from your state this year is normally…

A: Given,For male, mean (μ) =480 and standard deviation (σ) =110.For female, mean (μ) =500 and standard…

Q: What was the cutoff for a failing score? Approximately what percentage of the students failed?

A: The scores on a psychology exam were normally distributed with a mean of 68 and a standard deviation…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days…

A: We have to find range.

Q: he scores on a psychology exam were normally distributed with a mean of 65 and a standard deviation…

A: Given,μ=65σ=6

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days…

A: The complete solution is given below

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days…

A: Givenmean(μ)=261standard deviation(σ)=17sample size(n)=56

Q: Assume the test scores in your class are normally distributed with a mean of 84. You scored a 96,…

A: Given: mean = 84.

Q: Suppose that the amount of caffeine (in milligrams) in an 16 fluid ounce energy drink can be modeled…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Song length varies from genre to genre. Brian wonders if there is a difference in the length of…

A: Answer:- Given, For Country songs  Sample size, n1 = 50 , Sample mean ,X̄1 = 3.44 minutes and…

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A: GivenMean(μ)=1457standard deviation(σ)=315

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days…

A: We have given that Mean(µ) = 269Standard deviations (σ) = 12X ~ N (µ, σ )= N(269,12)

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days…

A: 95% Area = (μ-Zα/2σ , μ+Zα/2σ)

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 268 days…

A: Solution-: Given: μ=268,σ=13 Let, X= The length of pregnancies in a small rural village ∴X→…

Q: For a random sample of 55 overweight men, the mean of the number of pounds that they were overweight…

A: Answer: From the given data, Sample size (n) = 55 Sample mean x¯ = 31 pounds Population standard…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A: Given that the random variable X of the lengths of pregnancies in a small rural village are normally…

Q: There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on…

A:

Q: Cherise is interested in how her friends compare to the population for number of hours of television…

A: The test statistic is,

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 270 days…

A:

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores…

A: IQ scores are normally distributed, Mean = 100 Standard deviation = 15

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.