The college board reported that SAT scores in the early 2000's were normally distributed with a mean of 1026 and a standard deviation of 210. Assume the variable is normally distributed.  What percent of students scored over 700? Show how you found your work. Out of 500 students, how many scored over 700? Show how you found your work.

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: 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: The mean of a set of data is 108.06 and its standard deviation is 115.45 What is the z score for a…

A: Z-score = 3.3045 answer.

Q: Raul received a score of 77 on a history test for which the class mean was 70 with a standard…

A: for history test:mean(μh)=70standard deviation(σh)=4and xh=77For biology test:mean(μb)=70standard…

Q: On a standardized examination, Laura received a score of 83, which was exactly 2 standard deviations…

A:

Q: The average battery life of the Apple Iphone XR is 600 minutes.  The standard deviation is 30…

A: Given : mean = μ = 600 Standard deviation = σ = 30

Q: The scores on a test are normally distributed with a mean of 70 and a standard deviation of 14, find…

A:

Q: The mean grade on a science test was 79 and there was a standard deviation of 6. If your sister…

A: The z score explains the deviations of the observations from the mean. It is calculated using the…

Q: The distribution of the cost of a family’s dine-out meal has a mean of $55.30 and a standard…

A: Given ,Mean μ=$55.30Standard deviation σ=$4.00

Q: The scores of the students in the final examination in Advanced Algebra are normally distributed…

A:

Q: A market researcher wants to estimate the amount of money that a Christmas shopper will spend on…

A: We have to find sample size for given data..

Q: The effect of a medication can be evaluated by how many days the patient recovered. 10 patients are…

A: Test for Standard deviation: The χ2 Chi-Square test is used to test the significance difference…

Q: The mean grade on a science test was 79 and there was a standard deviation of 6. If your sister…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ)= 79,…

Q: Determine the number of standard deviations from the mean (z-score). In the United States, the…

A: Given mean female height = 64 inches and standard devaiton = 3 inches.The distance of a data point…

Q: . A distribution has a coefficient of variation of 65% and mean of 47. What is the value of the…

A:

Q: For woman at Hartford college, times to run 400 meters are normally distributed with a mean of 85…

A: Solution: Let X be the time to run 400 meters. From the given information, X follows normal…

Q: The mean of a test score was 21.2 and the standard deviation was 5.1 . Identify the rest scores that…

A: Given Data Mean µ= 21.2. Standard Deviation σ= 5.1. Assuming that the given data is obtained from a…

Q: The principal decided that the top 30% of the class with the highest grades in statistics will be…

A:

Q: What would happen to the margin of error if the standard deviation were to decrease? it would…

A: We know that ,Margin of error=critical value ×standard deviation sample sizeMargin of error =Zα2 ×σn…

Q: When Christian runs the 400 meter dash, his finishing times are normally distributed with a mean of…

A:

Q: The mean grade for chemistry exam was 76% with a standard deviation of 6%.the mean grade for…

A:

Q: An incoming MBA student took placement exams in mathematics and economics. In economics, she scored…

A: The mean and standard deviation of economics exam are 74 and 7.

Q: The mean score of the students on pre-assessments is 10 and the standard deviation is 2. What was…

A:

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 30.…

A: ∗Mean μ=190    standard  deviation σ=30    X~N 190,30 we need to find,   PX<130+PX>250=P…

Q: The mean for the population is 206 with a standard deviation of 20. Given a z score of -0.20,…

A: The mean is 206 and the standard deviation is 20.

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: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: The scores of the students in the final examination are normally distributed with a mean of 72 and a…

A:

Q: The vocabulary test scores for the population of third graders is normally distributed with a mean…

A: given mean μ=60 , standard deviation σ=12 now for the normal distribution z=x-μσ z=x-6012 to find…

Q: A distribution has standard deviation of 41.9 and mean of 74. What is the coefficient of variation?

A: Given standard deviation=41.9 mean=74

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 20.…

A: Given information Mean µ = 190 Standard deviation σ = 20

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: The scores on a university examination are normally distributed with a mean of 70 and a standard…

A: The scores of a university are normally distributed with mean 70 and s standard deviation 10.Given…

Q: What percent of the students received a score below 64, if the mean grade on a test was 70 and the…

A:

Q: In a factory producing parts for an electronic appliance, the length of a large  number of parts…

A: From the provided information, Mean (µ) = 3 Standard deviation (σ) = 0.05 X~N (3, 0.05) Here X be a…

Q: How many of the people surveyed will have a weight between 130 and 140lbs?

A: Here the mean weight is 135 lbs with a standard deviation of 5 lbs.   Use normal distribution for…

Q: The distribution for the time a patient of a medical center spends waiting for an appointment is…

A: Solution: Let X be the time a patient of a medical center spends waiting for an appointment. From…

Q: The prices of all college textbooks follow a bell-shaped distribution with a mean of $108 and a…

A: HERE GIVEN FOR BELL SHAPED DISTRIBUTION  MEAN=$108 S.D=$21

Q: The local police force gives all applicants an entrance exam and accepts only those applicants who…

A: The score that corresponds to the top 15% is, The Z-score that corresponds to the area 0.85 is…

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

A: If the z-score lies within 2 standard deviation away from the mean, then the score is not unusual…

Q: What is the z-score if our standard deviation was 2, mean of 49 and our specific observation is 47?

A: Given: Standard deviation = 2 Mean= 49 Specific observation =47 Determine the Z- score using the…

Q: The distribution of heights of adult men is approximately normal with mean 69 inches and standard…

A: Given that information  Mean = mu = 69 inches  Standard deviation = s = 2.5 inches  Z score = -2.5…

Q: The scores on a psychology exam were normally distributed with a mean of 64 and a standard deviation…

A:

Q: The average weight of a group of students is 68 kg with a standard deviation of 8 kg. If the z-score…

A: Givenmean(μ)=68standard deviation(σ)=8z-score=0.5

Q: The average age of Amtrak passenger train cars is about 20 years.  If the distribution of ages is…

A: Z= x-μσ~N(0,1)

Q: The data in a data set are normally distributed with a mean of 150 and a standard deviation of 30.…

A: In this problem, we are going to using The empirical rule(68-95-99.7 Rule)

Q: The average price of a personal computer is $949. If the computer distributed with a standard…

A:

Q: The mean for data set is 59, the standard deviation is 4, and the z- score is 0.03, what is the raw…

A: Here given that the mean =59, standard deviation=4, z score=0.04, we need to find the raw score x.

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.