Per the Barron's report the average weeks unemployed is 21.5 (population mean) with a population standard deviation of 5 weeks and a sample of 55. In the next five questions we will be calculating the probability that the sample of 55 will provide a mean within 1 week of the population mean. What is the probability to 4  decimals for (x<22.5)?  Use the rounded standard error of the mean in calculations.

Q: Describe the differences between a probability sample and a nonprobability sample

A: Introduction: A probability sample involves the use of probabilistic concepts to collect the sample,…

Q: A sample of n = 6 scores has a mean of M = 10. If one score with a value of X = 12 is removed from…

A: Given that  A sample of n = 6 scores has a mean of M = 10

Q: The mean marathon finishing time for men and women was 268 minutes and 280 minutes respectively.…

A: From the given information, The mean marathon finishing time for men and women was 268 minutes and…

Q: Isn't here the standard deviation equal to 4, not 2, as the tutor wrote?

A: Solution-: Given: μ=-3,σ=4 We want to find, P(0&lt;X&lt;2)=? Draw the picture.

Q: suppose that you scored 60 on a test that has a population mean of 64 and a standard deviation of 8.…

A: Given: Test Score x=60 μ=64σ=8 Transform in which  μ=50σ=10

Q: Use technology to solve the following problem: The mean annual income for people in a certain…

A: The question is about central limit theorem Given : Mean annual income ( μ ) = 42 Std. deviation of…

Q: how do you calculate the mean and standard deviation without a calculator ?

A: In this question we have to tell that how to find the Mean and Standard deviation without using the…

Q: Suppose the lifetimes of a certain lightbulb are normally distributed with a standard deviation of…

A: From the provided information, Standard deviation (σ) = 100 Let µ be the required mean. X~N (µ, 100)…

Q: Suppose you have a test with a mean of 66 and a standard deviation of 5. If you first increase…

A: Given Mean =66 Standard deviation=5

Q: Scores on a test are normally distributed with a mean of 123 and a standard deviation of 20. What…

A:

Q: JaJuan want to estimate the average student GPA at his high school. He surveys 37 students and finds…

A: Given,sample size(n)=37sample mean(x¯)=3.33population standard deviation (σ)=0.29

Q: how did you find the standard deviation to be 1.2. explain clearly?

A: Here we have to explain the how we get standard deviation is 1.2

Q: how do you find the standard deviation when the score is 9 points above tthe mean?

A: = population standard deviation = the size of the population = each value from the population =…

Q: The table data: 15 1.75 13 1.63 11 1.5 9 1.35 7 1.19 5 1.01 3 0.78

A: As per our guidelines, we are allowed to answer three sub-parts. Thanks    The following data are…

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: A sample of n = 10 scores has a mean of M = 13. After one score is added to the sample, the mean is…

A: Solution-: Given: n=10,M=13 (old)We want to add one score in the sample, the mean is found to be M =…

Q: A data set has a mean of 70.7 and a standard deviation of 6.2. The score of 69, is how many standard…

A:

Q: Imagine you select 30 males at random and find their mean height to be 5 ft 11 in. tall with a…

A:

Q: Round each z-score to the nearest hundredth. A data set has a mean of  x = 4079  and a standard…

A:

Q: One of the z-score formulas will help on this question. Scores on the SAT test are normally…

A: Given data,Mean μ=500sd σ=100Score X=450z-score =?

Q: ONLY SOLVE C The speed at which people type is measured in terms of words per minute (wpm). The WPM…

A: (c) 35% of wpm values are greater than what wpm? Use R. A z-score is a measure that indicates how…

Q: A population has a mean of 75 and a standard deviation of 15 you randomly sample nine people from…

A: Given population have mean 75 and standard deviation 15. A sample of 9 people from the population is…

Q: A half-century ago, the mean height of women in a particular country in their 20s was 63.1 inches.…

A:

Q: Researchers want to estimate the IQ scores for 3 year old children. It is known from a previous…

A: Given:

Q: from the

A: The standard deviation and average deviation,  are two of the most frequently used measures for…

Q: Round each z-score to the nearest hundredth. A data set has a mean of  x = 213  and a standard…

A: For a sample point x, the corresponding z-score is given by    z = (x - )/ Where,  = mean of the…

Q: the statistic X defined as X = 49S 2

A: (a) chi-square distribution with 49 degrees of freedom

Q: What is the standard error of the mean?

A: Standard error: Standard error is a measure which explains how accurate are the sample means to…

Q: A scientist has read that the mean birth weight, μ, of babies born at full term is  7.2 pounds. The…

A: Truth about the population Decision based on sample H0 is true H0 is false Fail to reject…

Q: If a sample of 50 people from this region is selected, what is the probability In a study of the…

A: Given that  Sample mean = 70 years  Standard deviation = 5.1 years  Sample size(n)=50 We have to…

Q: How much data is between 1 standard deviation of the mean? There are approximately     (answer) % of…

A: Here we have asked How much data is between 1 standard deviation of the mean? There are…

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.