In a test, the average of the grades is 80 and the standard deviation is 5. John's grade is 70, so his grade is standard deviations the average. 2 below 10 below 70 above equal to

Q: A population has a mean of μ= 30 and a standard deviation of σ = 5.  If 5 points were added to every…

A: The value of population mean is μ=30. If 5 points were added to every score in the population, then…

Q: From past experience, a statistics teacher has found that the average score on a midterm is 81 with…

A:

Q: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

A: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

Q: A distribution of exam scores has a mean of μ = 42. If your score is X = 46, which standard…

A: we have to find which sd will give better score.

Q: The SAT scores of students are normally distributed with a mean of 950 and a standard deviation of…

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

Q: A group of students wrote an entrance Math exam and the scores were normally distributed. The mean…

A: The scores were normally distributed with mean 750 and standard deviation 95 μ=750σ=95 Z-score is…

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: A score that is 12 points below the mean corresponds to a z-score of z =-1.50. What is the standard…

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: SAT scores are normally distributed with a mean of 1500 and a standard deviation of 300. ACT scores…

A: Z-Score:             It is a dimensionless quantity that is used to indicate the signed, fractional,…

Q: mean of μ = 78. If your score is X = 70, which standard deviation would give you a better grade: σ…

A: A distribution of exam scores has mean µ=78, and σ2=42 i.e. X~N(µ=78, σ2=42) If exam score is x=70,…

Q: The average IQ in Sarah’s class is 105 with a standard deviation of 15. What is the z score of Sarah…

A:

Q: A distribution of exam scores as a mean of µ=42. a. If your score is X=46, which standard deviation…

A: Solution: From the given information, µ=42.

Q: Renee scores an average of 153 points in a game of bowling, and her points in a game of bowling are…

A:

Q: The scores of students on a standardized test are normally distributed with a mean of 300 and a…

A: X~N(μ=300, σ2=402) (A) P(220<X<380)= ?  (B) P(X<260)= ? (C) P(X>a)=0.25 a= ?  Note: This…

Q: A student learns that on his most recent exam in psychology, the sample mean was 72.19 with a…

A:

Q: Sarah's score on the second exam was 34 for which the mean of all scores was 28 and the standard…

A:

Q: Show your solution:  If Peter got a 79 on a Math Test with a mean score of 85 and a standard…

A: The z-score is calculated asz=x-μσ

Q: A professor finds that the grades in a large class are normally distributed. The mean of the grades…

A: It is given that mean is 64 and standard deviation is 10.

Q: The mean difference equals 1.2, the standard deviation of the difference equals 1.5, and n equals…

A: It is given that mean difference is 1.2, the standard deviation of the difference is 1.5 and the…

Q: What was the cutoff for a failing score? Approximately what percentage of the students failed?

A: The scores on a psychology exam were normally distributed with a mean of 68 and a standard deviation…

Q: he scores on a psychology exam were normally distributed with a mean of 65 and a standard deviation…

A: Given,μ=65σ=6

Q: Ava scored a 92 on a test with a mean of 71 and a standard deviation of 15. Charlotte scored a 688…

A: HERE GIVEN , Ava scored a 92 on a test with a mean of 71 and a standard deviation of 15. Charlotte…

Q: The weekly mean income of a group of executives is $1,000 and the standard deviation of this group…

A:

Q: A distribution of exam scores has a mean of μ=80. If your score is X = 74, which standard deviation…

A:

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: 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: The scores on a psychology exam were normally distributed with a mean of 71 and a standard deviation…

A: Given,μ=71σ=8

Q: For a set of data, μ = 71, X=35, z = -0.60. What is the standard deviation of the population?

A: Given that.   X~N( μ , ?^2 )   μ=71   , ?=?  , X=35 , z=-0.60   Z-score =( x - μ )/?

Q: On a recent exam, a student scored a 91. The student’s result corresponds to a z score of 1.71. If…

A: We have to find standard deviations..

Q: standard deviation

A: If the random variable X follows a distribution with mean = μ and standard deviation = σ Then the Z…

Q: A population of scores has µ=44. In this population, a score of X= 40 corresponds to z= - 0. 50.…

A:

Q: A distribution of exam scores has a mean of μ = 78. a. If your score is X = 70, which standard…

A: Given: μ=78 More the z score, better grades obtained from the standard deviation. a. The z score  is…

Q: percentile rank on each exam? Percentile rank of ACT  Percentile rank of SAT  On which exam did…

A: The mean and standard deviation for the ACT are 18 and 7. Carla scored 31 on her ACT. The value of…

Q: Suppose you received a score of 95 out of 100on exam 11 . The mean was 79and the standard deviation…

A:

Q: he mean for a data set is 75. The standard deviation is 4​, and the​ z-score is −0.38. Find the raw…

A:

Q: In a population distribution a score of x equals 28 corresponds to z equals -1.00 and a score of x -…

A: Given From the given information A score of X=28 Corresponds to z= -1 and a score of X=34…

Q: A distribution of exam scores has a mean of μ = 78. If your score is X = 80, which standard…

A:

Q: A student scored 76 on a general science test where the class mean and standard deviation were 82…

A: For Science x¯=82s=8x=76 z=x-x¯s=76-828=-0.75

Q: The mean SAT score for 13 male highschool students is 500 and the standard deviation is 100. the…

A: Let us denote the group of males as 1st sample and group of females as 2nd sample. Hypotheses for…

Q: Brian scored an 80% on a Chemistry Exam. The average on the exam was a 68%, with a standard…

A:

Q: A distribution of exam scores has a mean of μ= 80. If your score is X = 72, which  standard…

A:

Q: on an exam, Tom scores 12 points above the mean and has a z-score of z=+2.00. the standard deviation…

A: It is given that the difference between mean and raw score is 12 and the z score is 2.

Q: . A professor finds that the grades in a large class are normally distributed. The mean of the…

A:

Q: In ABC High School, the mean IQ test score of the first year students is 102 and the standard…

A: For the given data  What is the z-score of a student whose IQ test score is 106?

Q: what is the z score for a person who received an SAT mathematics score of 685?

A: Here Given, The mean mathematics score for seniors who took the SAT in 2018 was 531. If the standard…

Q: On standard IQ​ tests, the mean is 120 and the standard deviation is 16. The results are very close…

A: Given:-   Normal distributionmeanμ =120standard deviationσ=16we have to find PX>120

Q: Karen scored a 76 on an exam whose mean is 74 and whose standard deviation is 8. Find her z score.

A:

Q: The average exam score of a math exam was 70 points and the standard deviation was 5 points. The…

A: We have to find new standard deviation...

Q: Suppose the main percentage in algebra is 70% and the standard deviation is 8% What percentage of…

A: Given,  mean value(μ) =70%  standard deviation(σ) = 8%Z=x-μσZ1=62-708=-1Z2=94-708 =3

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.