The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and a standard deviation of 16 days. Use the 68–95–99.768–95–99.7 rule to answer the questions.   How short are the shortest 16% of all pregnancies?

Q: Assume that women's heights are normally distrubuted with a mean of 63.6 inches and a standard…

A: From the given information, the mean is 63.6 and the standard deviation is 2.5.

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A: It is given that n is 2600 and p is 0.127.

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A: Given: μ = 9.6, σ = 1.9, n = 4, M = 12.25, α = 0.05.

Q: Assume that the mean number of yearly burglary attempts in Normal, IL is μ=μ= 16, with a standard…

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A:

Q: Assume the ages of circulating pennies have a mean of 12.2 years and a standard deviation of 9.9…

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Q: Suppose that the lengths of pregnancies are normally distributed with a mean of 274 days and a…

A: The provided information is  µ=274 σ=10 P(X>280) P(X-µσ>280-27410)=P(z>0.6000)=0.2743 (from…

Q: A. A study of the ages of 100 persons grouped into intervals 20-22, 22-24, 24– 26.., revealed the…

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Q: Suppose that the distribution of income in a certain tax bracket is approximately normal with a mean…

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A: Let X be the census long form  X~N(μ=40, σ=10) P(X≥a) =10%  We want to find the value of a

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Q: the upper arm length of males over 20 years old in the united statesis approximately normal with…

A: It is given that the upper arm length of males over 20 years old follows normal distributed with…

Q: The heights of American men aged 18 to 24 are approximately normally distributed with mean 68 inches…

A: Let X denote the heights of American men aged 18 to 24. Given that X follows N(mean = 68, SD = 2.5)

Q: The tallest living man at one time had a height of 248248 cm. The shortest living man at that time…

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Q: 2. Assume that, among residents of a large (over 6,000) Florida subdivision, the population mean age…

A: From the given information, The mean age is 65 and standard deviation is 2 years.

Q: The mean is 20,000 and the standard deviation is 1000, use the 68-95-99.7 rule to find the…

A: We have given that the mean is 20,000 and the standard deviation is 1000.

Q: According to Chebyshev's theorem, for a data set with a mean of 100 and a standard deviation of 5,…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 5 X~N (100, 5)

Q: I have a statistics question which on attached image.

A: Given that,

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A: State the hypotheses.

Q: Suppose the SAT scores follow a normal distribution with mean 1100 and standard deviation 200. Use…

A: According to 68-95-99.7 rule, 68% of the data values lies within one-standard deviation from the…

Q: Suppose the graduation rate from the last 5 years at wayne state university hasw standard deviaton…

A: Standard deviation:Standard deviation helps to identify the spread of data for a group from the…

Q: The length of human pregnancies from conception to birth varies according to a distribution that is…

A:

Q: a. Calculate the mean for each group b. Calculate the standard deviation for each group c. In your…

A: Let Xi denote the person without lucky charm and Yi denote the person with lucky charm. Thus, from…

Q: Researchers at a National Weather Center in the northeastern United States recorded the number of 90…

A: Given: Since, the value of Standard deviation is known, so Z-distribution is used for testing…

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A: Given that the new species of the rabbit has an average body of 45mm, which means the mean is 45mm…

Q: The board of examiners that administers the real estate broker's examination in a certain state…

A: Given, Mean = μ=440SD=σ=72Probability = 0.1

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Q: Suppose the annual employer 401K cost per participant is normally distributed with a mean of $770.…

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Q: Suppose the durations of human pregnancies follow a mound-shaped distribution with a mean of 266…

A:

Q: Suppose that the total daily carbohydrate intake for all boys age 13 to 15 years old in the US is…

A: Let X be a random variable such that X: Total daily carbohydrate intake for all boys age 13 to 15…

Q: A researcher polled a sample of  1087  adults in the year  2010 , asking them how many hours per…

A: Given that  Sample sizes n1=1087      , n2=1046      Sample means X̄1=10.49      , X̄2=9.45    ?1…

Q: Suppose that the lengths of pregnancies are normally distributed with a mean of 269 days and a…

A: P(X<x)=3%=0.03 x=?

Q: The service time for customers coming through a checkout counter has mean 51.4 seconds and standard…

A: P50.5<X<52.3=P50.5-51.46.864<z<52.3-51.46.864=P-0.90.85<z<0.90.85=P-1.0588<z&lt…

Q: A study of the ages of 100 persons grouped into intervals 20—22, 22—24, 24— 26……, revealed the mean…

A: Given  Mean=μ=32.02, standard deviations=σ=13.18  n=100

Q: A population with µ = 587 and σ = 12 is transformed into z-scores.  After the transformation, what…

A: It is given that a population with mean is 587 and the standard deviation 12.

Q: For a normally distributed data set with mean 20 and standard deviation 4.  According to the…

A: Solution-: Given: μ=20,σ=4 We want to find what percentage of the data lies between 8 and 32?

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Q: If the average length of all low-weight babies at the time of birth is known to be 36.5 centimeters…

A: Given Data: Mean=36.5 SD=2.4

Q: A population has a standard deviation of  = 30. A. On average, how much differences should exist…

A: Given Standard deviation (σ) = 30Sample size (n) = 4and standard error = σn…

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Q: The length of human pregnancies from conception to birth varies according to an approximately normal…

A: Obtain the percentage of pregnancies last between 234 and 282 days. The percentage of pregnancies…

Q: A study of the wages of 100 persons grouped in class-intervals of Dollar 10-12, 12 14 ... etc.…

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Q: Consider a data set that has a mean of 95.5 and a standard deviation of 13.1. According to…

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Q: The Central Intelligence Agency (CIA) has specialists who analyze the frequencies of letters of the…

A: Here it is given that ,  The Central Intelligence Agency (CIA) has specialists who analyze the…

Q: Suppose a certain population of observations follows a bell-shaped distribution. Based on the…

A: We need to recall that  bell shaped distribution is symmetric about the mean μ. Suppose σ is the…

Q: Suppose that SAT scores among U.S. college students are normally distributed with a mean of 500 and…

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Q: Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard…

A: GivenMean(μ)=63.6standard deviation(σ)=2.5sample size(n)=100

Q: A study of the ages of 100 persons grouped into intervals 20—22, 22—24, 24— 26......, revealed the…

A: The mean and standard deviation for given data are 32.02 and 13.18.