Suppose a random sample of adult women has a sample mean height of x¯=64.3 inches, with a sample standard deviation of s=2.4 inches. Since height distribution are generally symmetric and bell-shaped, we can apply the Empirical Rule. Between what two heights are approximately 99.7% of the data?

Q: what is the sample standard deviation?

A:

Q: College students, in general, have a mean of 60 and a standard deviation of 8 on a measure of…

A: Solution-: Let, X= The college students have loneliness scores  Given: We find,

Q: Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of…

A:

Q: If a population has a standard deviation σ of 36 units, what is the standard error of the mean if…

A: The population standard deviation is 36.

Q: If the population standard deviation of a normal distribution is 2.8, then find the standard…

A: Answer: From the given data, Population standard deviation = 2.8 number of observations = 68

Q: Suppose the heights of 10-year-old boys in the US vary according to a normal distribution with a…

A: The objective of this question is to find the percentile of a boy with a height of 140 cm given that…

Q: Suppose a small paint manufacturing company has a daily production that is normally distributed with…

A: Solution: It is given that a small paint manufacturing company has a daily production that is…

Q: If a set of data is normally distributed with a mean of 50 and a standard deviation of 5, a z-score…

A:

Q: If a sample has a mean of 150 and a standard deviation of 9, what is the value in the data set that…

A: Given,mean(μ)=150standard deviation(σ)=9Z-score=1.58

Q: Suppose the exam average in a class is 82% with a standard deviation of 6. What proportion of…

A:

Q: What percent of data points fall in the range of z=-1.5 and z=1.5 standard deviations of the mean

A: From the provided information, The range is between z = -1.5 to z = 1.5

Q: Under what conditions can the mean of the sample be treated as a value that is from a population…

A: From the above data  under what conditions can the mean of the sample be treated as a value that is…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 99.2 and a standard…

A: Given info: IQ scores are normally distributed with a mean of μ=99.2 and a standard deviation…

Q: Does where you live affect your insurance rate? The mean auto insurance rate for 29 drivers in a…

A: Level of significance ɑ=0.025,  df=n1+n2-2

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

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: Suppose the life span of a brand of lightbulbs is normally distributed with a mean of 2000 hours and…

A: It is given that  Mean, μ = 2000 Standard deviation, σ = 320 Z-Score, Z = ( X - μ )/σ

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.6 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: In a recent year, Washington State public school students taking a mathematics assessment test had a…

A: Given Information:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 97.3 and a standard…

A: Given data Mean μ= 97.3 Standard deviation ? = 22.8 First quartile is given by Probability = 0.25

Q: What is the Z value for a value of X = 60?

A:

Q: The concentration of benzene was measured in units of milligrams per liter for a simple random…

A: Let,  μ1 :  the population mean benzene concentration for untreated water and  μ2: the population…

Q: Suppose the prevalence of type II diabetes in a community is 36%. Researchers want to sample 16…

A:

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Let X be the length of the steel rods. Then X~N (144.3,0.8) i.e. µ=144.3 and σ=0.8

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.6 and a standard…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.1 and a standard…

A:

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

A:

Q: During rush hour, the traffic speed on a busy highway is found to have mean 42 mph and standard…

A:

Q: The heights of women in a particular community are normally distributed with a mean of 65 inches and…

A: We have to find given proportion..

Q: Assume that the heights of women are normally distributed with a mean of 65.4 inches and a standard…

A: We have given that  Mean=μ=65.4 Standard deviation=σ=2.7 X~Normal(μ=65.4,σ=2.7)

Q: The concentration of benzene was measured in units of milligrams per liter for a simple random…

A:

Q: 12) If the standard deviation of a data set is (17.2); the variance will be (295.84).   Select…

A:

Q: Glucose levels in patie tz free of diabetes are assumed to follow a normal distribution with a mean…

A: Here, mean is 120 and standard deviation is 16.

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.