standard deviation
Q: The mean score on a standardized test is 540 with a standard deviation of 55. What percent of…
A: Given mean= 540 Standard deviation=SD= 55 We have to find the z value of 625.
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: The mean IQ of 500 data science students is 151 and the standard deviation is 15. Assuming that the…
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Q: A student has taken a 50-point exam and wants to know how his score of 38 compares to the scores of…
A: It is given that Mean = 40 Standard deviation SD = 4 Score X = 38
Q: Georgia is taking a course in statistics (course A) and a course in criminal justice (course B). At…
A: It is required to find the z-scores for the points obtained in the statistics and criminal justice…
Q: osiah participates in a bowling league each summer and again each autumn. In Summer 2019, his mean…
A: Obtain the Z-score for the random variable X equals 145 in the summer season. The Z-score for the…
Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…
A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…
Q: Molly injured her ankle 12 weeks ago. Each week, her physical therapist has been recording her pain…
A: The given information is that Molly’s pain scores’ follows normal distribution with mean 60 and…
Q: The chloride concentration in the blood (mmol / liter) averages 104 with a standard deviation of 5.…
A: Given Data: Let X represent the random variable X~ Normal (104, 52) n=200 Therefore, X¯ ~ Normal…
Q: The average score on the Stats midterm was 70 points with a standard deviation of 6 points,…
A: Given that. X~N( μ , ?) μ=70 , ?=6 , Z-score = -1 Z-score =( x - μ )/?
Q: The scores on a test are normally distributed with a mean of 110 and a standard deviation of 22.…
A: Let X be the random variable from Normal distribution with mean (μ) = 110 and standard deviation (σ)…
Q: Why does Mean of the Deviations Not a Useful Measure?
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Q: Here are some of the Final Exam scores from last semester's class: 81, 77, 90, 93, 99, 88, 85, 70,…
A: Given n=12
Q: The scores on a driver's test are normally distributed with a mean of 100. Find the score that is…
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Q: Find the proportion of scores greater than 70 mean is 90 standard deviation is 10
A: The standard normal distribution:A continuous random variable Z is said to follow standard normal…
Q: A teacher wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10%…
A: Here we need to find the mean, median and mode for the given normal distribution. Also we need to…
Q: her wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10% will be…
A: given: mean(μ)=78 sd(σ)=8
Q: During the first day of classes for the second semester, the Statistics and Probability teacher of…
A: Answer : - Given data sample size n = 100 Sample mean x = 80.68, Population…
Q: How does the curve change when the standard deviation is the same and the mean changes?
A: The mean is the center of symmetry of a curve or normal density curve.
Q: ou find the standard deviation in the most easiest way?
A: The standard deviation is used to calculate the variability of the data set. It tells us about the…
Q: Two teachers have a friendly rivalry. They want to know which of their students did better on their…
A: Given, For Chemistry teacher No of students = n = 49 Mean = m = 68 National Mean = μ = 65 Standard…
Q: Elana recorded the height of all of her classmates and calculated the standard deviation. If…
A: The heights of all classmated are recorded and the standard deviation is calculated.
Q: A study was done for the job satisfaction. In the first study, an Engineer was score 72 with a mean…
A: Given data, For first studyScore (x)=72μ=80σ=12For second studyScore (x)=19μ=20σ=5
Q: The highway mileages of 147 cars are in a file named CARS2.+ These cars are 2003 models. Find the…
A: Mean Formula The mean formula is defined as the sum of the observations divided by the total number…
Q: When Christian runs the 400 meter dash, his finishing times are normally distributed with a mean of…
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Q: The mean height of women is 62 inches with standard deviation of 4 inches. What percent of women are…
A: From the given information, Mean height (µ) = 62 inches Standard deviation (σ)= 4 inches Thus, the…
Q: The mean height of women is 62 inches with standard deviation of 4 inches. What percent of women are…
A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is…
Q: How do you calculate a z score as a percentage when you have the mean, standard deviation and z…
A: Lets suppose we are given the following values:Mean = 10, Standard deviation = 4 and z-score = 1.…
Q: A student scores 80 in math which has a mean of 70 and standard deviation of 10. He also scores 85…
A: GivenStudent scores 80 in math with Mean(μ)=70standard deviation(σ)=10student scores 85 in english…
Q: Find the simple standard deviation of the data. Be sure to include the screenshot of excel of your…
A: Let X: Parking Ticket fines (Canadian $) The data is given as : X 30 15 40 40 40 30…
Q: basketball coach kept stats for his team in free throw percentage and steals (among others). At the…
A: Solution To find in which category did Erin do better compared with her team we will use z score.
Q: Find the area of the shaded region. The graph to the right depicts scores of adults, and those…
A: normal distribution curve is given μ = 100σ = 15area shaded to the left of 120.
Q: Two 2017 high school graduates want to compare their results on college entrance exams. Alex scored…
A: From the provided information, Alex scored 1401 on the SAT, and Olivia scored 32 on the ACT. For…
Q: On a test that has a normal distribution, a score of 60 falls one standard deviation above the mean,…
A: Given that the test score has Normally distributed. A score of 60 falls one standard deviation…
Q: The United Nations stores statistics about all the live births in the United States. The latest data…
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Q: Many students did an exam, the mean was 15 and the standard deviation was 32 The highest mark was…
A: Given Mean μ=15, standard deviation σ=32 X=103
Q: A particular standardized test has scores that have a mound-shaped distribution with mean equal to…
A: The mean is 126 and the standard deviation is 22.
Q: Pearson publishes textbooks each semester and the mean number of textbook pages published by Pearson…
A: Given data,μ=568σ=150P(X>733)=?
Q: The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5…
A: Solution: Let X be the age of senator. From the given information,
Q: According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the…
A: Given X is normal Distributed with mean µ = 65.0 and standard deviation σ = 3.0 Need to find Z score…
Q: The mean score on a standard test is 450 with a standard deviation of 78. What percent of the test…
A: From the given I formation, Mean score (µ) = 450 Standard deviation (σ) = 78 Thus, the required…
Q: If the mean snowfall for Ottawa Ontario Canada is 98 inches per year and the standard deviation is…
A: Given,mean(μ)=98standard deviation(σ)=25
Q: Stanford-binet IQ test scores are normally distributed with a mean score of 100 and a standard…
A: Given that Stanford-binet IQ test scores are normally distributed with a mean score of 100 and a…
Blyke gets 45 on his statistics finals where the
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- Linda is in her first semester at a university and is taking a calculus course with a large enrollment. She just took the first midterm exam and is nervous about her score, which was 68. Among all the students in the course, the mean of the exam was 79 with a standard deviation of 15. Find the =-score of Linda's exam score relative to the exam scores among all the students in the course. Round your answer to two decimal places.Mario scored 82 on his history final. The class mean was 78 with a standard deviation of 3 points. He scored 72 on his biology final with a mean score of 65 and a standard deviation of 5 points. Which grade was better compared with the class mean referencing a normal distribution? a. The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33. b. The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.33 and 1.4. c. The history test is better. The z-scores for the biology exam and the history exam respectively are 1.33and 1.4. d. The history test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33.Raul received a score of 77 on a history test for which the class mean was 70 with a standard deviation of 9. He received a score of 75 on a biology test for which the class mean was 70 with standard deviation 4. On which test did he do better relative to the rest of the class
- Jack had an average score of 75 with a standard deviation of 3. Mikes z-score was 1.85. His actual score wasThe distribution of heights of adult men is approximately normal with mean 69 inches and standard deviation 2.5 inches. Bob's height has a Z-score of -2.5 when compared to all adult men. In 1-2 sentences, interpret what this Z score tells about how Bob compares to other men in terms of height.We expect most of the data in a data set to fall within 2 standard deviations of the mean of the data set. We expect most of the data in a data set to fall within 2 standard deviations of the mean of the data set. True False
- After calculating the mean and standard deviation, how do we interpret the result, and when a variable look strange?Marjorie More Mileage is obsessed with getting the best gas mileage possible for her 2017 Toyota Prius. She learns from the official Toyota web site that the official average mileage for all 2017 Prius is = 58.2 mpg with a standard deviation of = 1.2 mpg. Marjorie purchased a set of “hyper mileage” tires on-line that are supposed to improve gas mileage. For the next 100 fill ups, Marjorie noticed an average gas mileage of = 58.5 mpg. Help Marjorie perform a hypothesis test at a 1% level of significance to determine if her new tires actually improved her gas mileage. What is the null hypothesis? What is the alternate hypothesis? Is this a left tail, right tail, or two tail test? Calculate the test statistic. State your conclusion.A study group takes a practice statistics exam. They find that the group has a mean score of 80 with a Standard Deviation of 5. Lily has a z-score of 1.9 and wants to know her raw score. Calculate her score. the answer is Between 89.4 and 89.6 can you please show me the work, how do I find her score?
- An incoming MBA student took placement exams in economics and mathematics. In economics, she scored 82 and in math 87. The overall results on the economics exam had a mean of 71 and a standard deviation of 7, while the mean math score was 69, with a standard deviation of 10. On which exam did she do better compared with the other students? Since she scored standard deviations V the mean in economics and standard deviations V the mean in mathematics, she did better on the exam. (Round to two decimal places as needed.)The average score on the Stats midterm was 79 points with a standard deviation of 4 points, and Arthur's z-score was 1. How many points did he score? He scored points.JaJuan want to estimate the average student GPA at his high school. He surveys 35 students and finds their average GPA to be 3.5 with a standard deviation of 0.33.Which statement is true?JaJuan is estimating... a proportion and will use the Z-table a mean and will use the t-table because the population standard deviation is unknown a proportion and will use the t-table a mean and will use the Z-table because the population standard deviation is unknown a mean and will use the Z-table because the population standard deviation is known a mean and will use the t-table because the population standard deviation is known