A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. What is the z-score if a student has a GPA less than 3.78

Q: On a standardized test, scores are normally distributed with a mean of 400 and a standard deviation…

A: Given data,μ=400σ=80P(X<x)=80%=0.80x=?

Q: On a statistics exam, the mean score was 80 and there was a standard deviation of 7. If a student's…

A: Given data, μ=80σ=7If x=92z=?

Q: A statistics professor gave a final exam to a class of 30 students. The exam scores are normally…

A: Given,mean(μ)=75standard deviation(σ)=10

Q: The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants…

A: Sample points are 9.0,7.3,6.0,8.8,6.8,8.4,6.6. Sample size = n = 7.

Q: A national achievement test is administered annually to 3rd graders. The test has a mean score of 80…

A: A national achievement test is administered annually to 3rd graders. The test has a mean score of 80…

Q: statistics professor reported that the mean score in a recent quiz is 72 and the standard deviation…

A: Solution

Q: New employees at a company are given a proficiency test. The test scores are approximately normally…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if…

Q: The admission committee of AUCA passes 61% of those who took the exam. If the scores follow a normal…

A: We have given that.   X~N( μ , ?^2 )   μ =350 , ? =25   Z-score =( x - μ )/?

Q: The scores of students in a 40-point Mathematics achievement test are normally distributed with  a…

A: given data normal distributionσ = 3.595% of students got score between 28 and 42.mean = ?

Q: A national secondary achievement test is administered annually to high school students. The test…

A:

Q: A test score of 45 has an equivalent standard score (z-score) of 1.6. If the mean test score is 39,…

A: given dataraw score  x = 45standard score   z = 1.6mean μ = 39S.D.  σ = ?

Q: amount of honey produced by local beekeepers is normally distributed with a mean of 140 pounds and a…

A: given data, normal distribution mean=140standard deviation=31smallest amount in the top 14% produced…

Q: have a mean GPA of 2.57 with a standard deviation of 0.71. how many of the 850 new students have a…

A: Given that.   X~N( μ , ?)   μ=2.57   , ?=0.71    Z-score =( x - μ )/?

Q: The mean SAT verbal score is 473, with a standard deviation of 96. Use the Empirical Rule to…

A:

Q: The mean BMI score for dieters on the Jenny Craig weight loss program is 38.5, and the standard…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

Q: mandatory competency test for high school sophomores has a normal distribution with a mean of 329…

A:

Q: The average score of all golfers for a particular course has a mean of 75 and a standard deviation…

A: Let is denote X=the score of a golfern=sample size=81X has mean=75 and standard deviation=4.5So, X¯…

Q: The mean score on the SAT in 2017 was 1060, and the standard deviation was 195. Assume the scores…

A: Given,  Mean μ=1060  Standard deviation σ=195Let x be score of a randomly selected person

Q: The scores on an exam were normally distributed with a mean of 75 and a standard deviation of 8.…

A: Introduction :-  Let ,  X = Exam scores of students. Given that, X ~ N ( 75 , 64 )  Here we have to…

Q: A recent study found that 69% of all adults over 50 wear sunglasses for driving. In a random sample…

A: Formula : Mean = np Standard Deviation  :

Q: Professor Ivy’s students have a Mean grade of 69.5 and a Standard Deviation of 6.5.  If Johnny has…

A: From the provided information, Mean (µ) = 69.5 Standard deviation (σ) = 6.5 Let X be a random…

Q: sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. What is…

A: We have given that,  Let X be the GPA score from normal distribution with average or mean (μ) = 2.78…

Q: A study by the National Center for Health Statistics suggested that women between the ages 20 and 29…

A: 0.33271Explanation:For the given normal distribution with μ=26.8 and σ=7.4, the required proportion…

Q: A deviation score of 0.00 indicates that the individual

A: Z score: The value of the Z score gives the raw score is how many standard deviations away from…

Q: If the mean score on a math quiz is 12.6 and 38.2​% of the students in your class scored between…

A: Mean = 12.6 area between 11.1 and 14.1 is 38.2%

Q: standardized test has a pop. mean of 152 and a standard deviation of 16. What would be the median…

A: Given that Mean=M=152, Standard Deviation=Sd=16 X~N(M=152,Sd=16)

Q: If a student scored 77 points on a test where the mean score was 84.5 and the standard deviation was…

A: Given: Score of student(x)=77Population meanμ=84.5Population standard deviationσ=5.1

Q: The time to complete a standardized exam is approximately normal with a mean of 70 minutes and a…

A: Given that the mean of 70 minutes and a standard deviation of 10 minutes. Suppose the students are…

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A: Obtain the minimum score required to get on A. The minimum score needed to get A and the top 20% of…

Q: The gas mileage for a new model of car is normally​ distributed, with a standard deviation of 3.5…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…