Find the Z-Score for a IQ  test score of 142 when the mean is 100 and the standard deviation is 15.

Q: On a nationwide math test, the mean was 75 and the standard deviation was 10. If Roberto scored 85,…

A: The formula of Z-score is,

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 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: Find the z-score for the value 69, when the mean is 96 snd the standard deviation is 5. z-score= ?

A:

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

A: Given that, A score that is 12 points below the mean corresponds to a z-score of z= -1.50.

Q: what will be the value of X at the z score =-2.5 given, mean=45 and standard deviation =5?

A: Mean = 45 Standard deviation = 5  Z score =-2.5 We have to find X score  for given data...

Q: find the z-score for the value 69, when the mean is 96 and the standard deviation is 5.

A:

Q: Find the​ z-score for the value 55​, when the mean is 79 and the standard deviation is 5.

A: The z score indicates how many standard deviations that a data points away from the mean. It can be…

Q: find the z-score for the value 95, when the mean is 77 and the standard deviation is 2.

A: Given, mean=77 standard deviation=2 find the z-score for the value 95

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

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Q: Laura learned that the average GPA in her school is 3.6 with a standard deviation of 0.3. If her GPA…

A: From the given information,   Mean = 3.6 Standard deviation = 0.3   The objective is to find the…

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

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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: On a nationwide math test, the mean was 52 and the standard deviation was 4. If Roberto scored 85,…

A: The z score formula is,

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

A:

Q: The mean always has a z-score (value) →

A: When the data is converted into z scores, the mean will always end up being zero.

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: Change z-score (-2.00) into X value – Mean = 50, standard deviation = 10

A: Standard normal distribution: The standard normal distribution is a special case of the normal…

Q: A successful basketball player has a height of 6 feet 4​inches, or 193cm. Based on statistics from a…

A: The z-score identify that the value how many standard deviations from the mean. If the z-score is…

Q: The temperature recorded at 60 airports in a region had a mean of 67 degrees Fahrenheit and a…

A:

Q: What is the percentile rank of the score 65?   In an English test , the mean is 60 and the…

A: Given X=65μ=60σ=6

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

A:

Q: The mean test score for a history test is 63 with a standard deviation of 9. The mean test score for…

A: It is given that the mean test score and standard deviation for history test are 63 and 9, the mean…

Q: Looking at the test data, Jason saw that his score was a 2.5 with a mean of 79 and a standard…

A: We will find the actual score as following.

Q: a nationwide math test, the mean was 60 and the standard deviation was 7. If Roberto scored 85, what…

A: Given data,Mean μ=60sd    σ=7 If Roberto scored 85z-score=?

Q: On a verbal skill test, the mean was 72 and the standard deviation was 7. If John scored 75, what…

A: Given data,Mean μ=72sd      σ=7If John scored 75z-score=?

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: Max scored an 80 on her psychology quiz, but the class as a whole averaged a 40. If the standard…

A:

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: In a science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: (a) Obtain the percent of score is greater than 48. The percent of score is greater than 48 is…

Q: In a certain test in Calculus, the mean score of a group of 100 students was 30 and the standard…

A: The mean for calculus is 30 and standard deviation is 8, the mean for physics is 52 and standard…

Q: Interpret the Z score for a student who scored an 91 on an exam that had a mean of 86 and a standard…

A:

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

A:

Q: Find the z-score for the value 80, when the mean is 70 and the standard deviation is 2.

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 Variance for a set of scores is 36, what is the standard deviation, what is the range?

A: Given, variance = 36Therefore,  Standard deviation = square root of variance…

Q: A grade of 81 in a test in which the mean is 75 and the standard deviation is 12 corresponds to a…

A:

Q: The mean score on the Stats exam was 75 points with a standard deviation of 5 points, and Gregor’s…

A: The mean score on the Stats exam was 75 points with a standard deviation of 5 points, and Gregor’s…

Q: Alicia scored a 70 on her psychology quiz, but the class as a whole averaged a 40. If the standard…

A: From the provided information, Population mean (µ) = 40 Standard deviation (σ) = 10 Let X be a…

Q: On the final exam, your friend scored a 93 and you scored a 85. The scores are normally distributed…

A: Obtain the Z-score for the random variable X equals 85. The Z-score for the random variable X equals…

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

A:

Q: on a nationwide math test,the mean was 63 and the standard deviation was 7. if roberto scored…

A: According to the given information, we have Mean = 63 Standard deviation = 7

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: THE SCORES ON A SCIENCE TEST HAD AN AVERAGE OF 78 AND A STANDARD DEVIATION OF 3. WHAT PERCENT OF…

A: Given,mean(μ)=78standard deviation(σ)=3

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.

Q: The mean of 7 consecutive integers is 10. What is the standard deviation?

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

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Q: The mean grade of  Adrian in the final examination in mathematics was 85 and the standard deviation…

A: Mean for mathematics = 85 Standard Deviation for mathematics = 7 Mean for science = 89 Standard…

Q: On a standardized test, Jose scored an 87 and Mia scored a 74. The distribution of test scores for…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.