1. A normal population has mean of "u"=20 and standard deviation Q=4. Questions: a. What proportion of the population is less than 18? b. What is the probability that a randomly chosen value will be greater than 25? 2. A normal population has mean of "u"=56 and standard deviation Q=8. What is the 85th percentile of the population?

Q: For a certain distribution, the measurement 12.1 is 1.5 standard deviations below the mean, and the…

A: It is given that  μ - 1.5*σ = 12.1    . . . (1) μ + 3*σ = 17.5    . . . (2)   Note: According to…

Q: The mean of a population is 40 and its standard deviation is 3. What are the values ​​of the mean…

A: Given that  Mean=E(X)=40 Standard deviation=Std(X)=3 Variance=Var(X)=32=9

Q: c) How many of the 15 data values fall within one standard deviation of the mean? Show how you found…

A: According to empirical rule, 68% of the data lie within 1 standard deviation of the mean.  Thus, if…

Q: In the 1980s, a research study linked drinking coffee to a higher risk of heart disease and pancreat…

A: Introduction: A confounding variable in a study is a variable that is not acknowledged or controlled…

Q: a. Suppose a 15 to 18-year-old male from Chile was 176 cm tall from 2009 to 2010. The z-score when x…

A: Given that Let X denotes the height of a 15 to 18 year old male from Chile in 2009 to 2010 X~N(170,…

Q: 1. How much of the data lies between one standard deviation from the mean, two standard deviations…

A:

Q: Next c A variable is normally distributed with mean 12 and standard deviation 2. a. Find the…

A:

Q: 2. a. The Intelligence Quotient (IQ) of adults is approximately normally distributed with mean 100…

A: Given that

Q: 7. In the normal curve, a. the mean, median, and mode are all on the highest point of the curve. b.…

A: The objective is to identify the correct statement related to the mean, median, mode, and standard…

Q: If the value of the mean Y is 10, what is the value of the mean of Y predicted? A. The same B. The…

A:

Q: 6. Jared has a mean of 74 on his quizzes, with a standard deviation of 7. On his most recent quiz,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The IQ of a person follows a normal distribution and has a mean of 100 and a standard deviation of…

A: It is given that the mean is 100 and standard deviation is 15.

Q: Lecture(10.9): The Peabody Picture Vocabulary Test has a standard score population mean of 100, and…

A: *Answer:  Hypothesis Test

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: 5

A: The dependent t-test (called the paired-samples t-test) compares the means between two related…

Q: The scores on an aptitude test are normally distributed with a mean of 18 and standard deviation of…

A: Note: Hey, since there are multiple subparts are posted, we will answer first three subparts for…

Q: 41. In 2011, high school seniors had the following mean and standard deviation on the mathematics…

A: The given values are μ=514 and σ=117.

Q: In a normal distribution, what percentage of the values lie: 1. Below the mean? 2. Above the mean?…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: A variable is normally distributed with mean 14 and standard deviation 2. a. Find the percentage of…

A: We have to find given probability..

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 length of a fully grown hibiscus plants is normally distributed and has a mean of 35cm and a…

A: Given that,Mean(μ)=35standard deviation(σ)=4     The random variable  is length of fully grown…

Q: Show your work to find the value that is 1.5 standard deviations: a. above the mean. b. below the…

A: From the obtained results, the mean is 9.02 and the standard deviation is 5.7910.

Q: An engineer wishes to determine the width of a particular electronic component. If she knows that…

A: σ=3.7,E=0.3,C.I=90%

Q: What symbol is used for the standard deviation when it is a sample statistic? What symbol is used…

A: We know that-

Q: 21. Which set of scores below has the smallest standard deviation? а. 11, 17, 31, 53 b. 5, 11, 42,…

A:

Q: For a mean of 70 and a standard deviation of 8, find standardized score for a value of 80. O - 1.25…

A: From the provided information, Mean (µ) = 70 Standard deviation (σ) = 8

Q: A variable is normally distributed with mean 10 and standard deviation 2. a. Find the percentage of…

A: given data normal distributionμ = 10σ = 2

Q: c. Analyzing marks of 15 students from Spring 2020, you found their mean to be 23.6 and standard…

A: Data given Summer 2020  23,18,17,24,27,18,14,29  Spring 2020  n=15, x̄=23.6, s=4.9

Q: Find the X-value (score) corresponding to each of the following Z-score.

A: Given the distribution whose mean is 50 and whose standard deviation is 8.

Q: A positively skewed population has a mean of ? = 100 and a standard deviation of ? = 15. a. What is…

A: Mean of , μ = 100 Standard deviation of , σ = 15   What is the mean of the distribution of sample…

Q: For each pair of data sets, which is likely to have the greater standard deviation? 40. heights of…

A: The standard deviation is a measure of variation or dispersion of a set of values. This means how…

Q: 15.) The mean wingspan for the population of a species of bird is known to be 30 inches, and the…

A:

Q: For which quartile , 25% observations are greater and 75% are smaller ? A. First quartile B Third…

A: It is an important part of statistics. It is widely used.

Q: The z statistic indicates:

A: here we will use basic of Normal distribution  z- score or z-statistic is Standard Normal Random…

Q: 11. It is equal to the summation of the products of the value of the random variable and the…

A: Note: As per Bartleby’s guideline for more than one questions only first is to be answered please…

Q: 2. All Grade 6 students are required to take the NAT. Suppose the mean for the mathematical aptitude…

A: Let X be the math score that follows normal distribution with mean (μ)=25 and standard deviation…

Q: 2. An IQ test measures a person’s intelligence. The distribution of IQ scores is unimodal and…

A: Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

Q: 2. In a departmental examination on statistics, the mean grade was 64 and the standard deviation was…

A: Determine the number of students took the examinations.   The number of students took the…

Q: What percentage of a normal distribution is within 2 standard deviation of the mean? A. About 50 %…

A: Normal distribution has a distribution curve with bell shape and this curve is symmetric about its…

Q: Use the Empirical Rule to find the number of scores falling into each of the following intervals: a.…

A: The Empirical rule says that for bell- shaped distribution,  About 68% of observations lie within 1…

Q: with peas having the property that for offspring, the offspring peas are randomly selected in groups…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 1. A class had a quiz in Statistics. The scores of the students has a mean of 87 and standard…

A: Given,mean(μ)=87standard deviation(σ)=3

Q: A variable is normally distributed with mean 11 and standard deviation 2. a. Find the percentage of…

A: Let the random variable X follows normal distribution with mean of μ=11 and standard deviation of…

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.