You are given the following information:  sample mean is equal to 103.55, population standard deviation is equal to 14.88, sample size is equal to 111 and the national average is equal to 109.  What would be the value of z-observed?

Q: Why is the standard deviation preferable to the range as a measure of variation?

A: A range is the most common and easily understandable measure of dispersion. It is the difference…

Q: What is the corresponding Z- score, mean is 110, standard deviation is 8 and x is 90

A: In question, We'll find the Z - score for mean 110, standard deviation 8 and x = 90. The solution is…

Q: A data set is normally distributed with a mean of 67 and a standard deviation of 12. What percent of…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: u and your friend have recently taken two different standardized mathematics exams. You scored 92 on…

A: The mean = 100The standard deviation = 10

Q: what percent of values fall between 5.25 and 8.75 if the mean =9 and standard deviation =2.36

A: Answer: From the given data, Mean (μ) = 9 Standard deviation (σ) = 2.36 X follows normal…

Q: The class mean for the exam was 82 with a standard deviation of 6.  There are 37 students in the…

A: We have given that, Mean = 82 , standard deviation σ = 6  sample size n = 37   Standard error of the…

Q: How tall is a woman in the 3rd percentile?

A: Let X be the height of adult women in the US. Given that, X ~  N(mean=64.5, sd=3.1) To find the…

Q: what if the standard deviation was 30, instead of 60

A:

Q: The mean of the data is 25.16 and it's coefficient of variation is 18.75 . Find the standard…

A: The coefficient of variance, COV = sx¯*100 s is the standard deviation x¯ is the sample mean To find…

Q: The median score on a test was 80% with a standard deviation of 5%, what does that tell you about…

A: Central tendency is used to determine the average of the data set. Dispersion is used to determine…

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

A:

Q: How many minutes did it take him to finish the face?

A: It is given that the distribution of finishing time for men was approximately normal with mean 242…

Q: Would you be able to help with Standard Deviation along with the range, mean, mode, and median?

A: Measures of variability:The measure of variability or the measures of dispersion can be measured…

Q: The scores on a standardized test are approximately normal with a mean of 83 and a standard…

A: Let T be minimum score needed to be in top 8%

Q: The variance of a sample of 99 observations equals 81. The standard deviation of the sample equals?

A: From the provided information, The sample variance of 99 observations (s2) = 81

Q: Convert score 46 to z-score if the mean is 40 and the standard deviation is 4.

A: The definition of a z-score is:   z = (X - μ) / σ

Q: How high must a 2016 Vehicles gas mileage be to fall in the top 15% of all vehicles? normal mean is…

A: Given information: normal mean is 23.0mpg standard deviation is 4.9mpg

Q: on a national achievement test score was 850 with a standard deviation of 100. what proportion 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 exam average in a class is 82% with a standard deviation of 2. What proportion of…

A:

Q: Aliyah scored at the 45th percentile on the Stanford Achievement Test (mean= 500, standard deviation…

A:

Q: H=34, o=4.5, the score is 2.5 standard deviations above the mean

A: Suppose the variable of interest is x.The mean is and the standard deviation is .

Q: The population mean of happiness is 5.382, with a standard deviation of 1.138. Linda has a z score…

A: We have given that,  Let X be a random variable following normal distribution with mean (Mu) = 5.382…

Q: The scores on a test are normally distributed, with a mean of 82 and standard deviation of 5. What…

A: Let  X be the random variable from normal distribution with mean (μ) = 82 and standard deviation (σ)…

Q: Pattys final exams have an average of 78 and a standard deviation of 6.  If she wants 4% of her…

A: X follows a Normal distribution with mean = 78 and S.D = 6 Then z=(x-mean)/SD = (x-78)/6  follows…

Q: How would you find the standard deviation by hand, of the following numbers: 1,1,3,01,6,2

A: Standard deviation:Standard deviation quantifies the dispersion of a data set from its mean. The…

Q: You have a data set with mean = 40 and standard deviation = 3. What can you say about the percentage…

A: Given  μ=mean=40, sd=σ=3 P(32<X<40)= ?  Note: this probability value calculated from standard…

Q: Smelt is a type of flood fish. Smelt lengths are normally distributed with a mean of 15 cm and a…

A: Given: µ = 15 σ = 1

Q: Week 3 Please provide solutions and steps in an excel spreadsheet Diastolic Blood pressure are…

A: Let X be the diastolic blood pressure. X follows normal distribution with mean of 85 and standard…

Q: I am not familiar using the standard deviation formula for my statistics class

A:

Q: you created a survey that measue Depression In you want to test people. the Claim that the mean.…

A: Solution-: Given: x¯=6.7,μ0=6.5,n=145,s=1.5 We test the claim that the mean measurement of…

Q: Suppose the exam average in a class is 55% with a standard deviation of 4. What proportion of…

A: Given: Mean μ=55%Standard deviationσ=4% Consider, X be the random variable that follows the normal…

Q: Suppose the exam average in a class is 55% with a standard deviation of 4. What proportion of…

A: The random variable score follows normal distribution. The population mean is 55.         The…

Q: The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?

A:

Q: What if a professor returned an assignment to you and your assignment score is 85 had a standard…

A: Given data, μ=75σ=8X=85What would be your percentile.

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.