The standard deviation of SAT scores is 100 points. A researcher decides to take a sample of 500 students'scores to estimate the mean score of students in your state. Then the standard deviation of the sample mean = 4.47

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: What z-score would be associated with the value x = 124?

A: Given that Mean = 133 SD = 6 And the value is X = 124

Q: On a math exam, Joel had a score o 90, which was exactly 2 standard deviations above the mean. The…

A: Since, we only do up to three sub parts of a problem, we'll be doing the first three sub parts only.…

Q: On a nationwide math test, the mean was 60 and the standard deviation was 7. If Roberto scored 90,…

A:

Q: For a sample of 300 students, you find that the mean GPA is 3.35 with a standard deviation of .21.…

A: Solution: From the given information, Standard deviation is 0.21 and n=300.

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

A: It is given that the mean and standard deviation are 100 and 15, respectively. The IQ test score is…

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: In a population of scores, X = 83 corresponds to z = 0.50 and X = 93 corresponds to z = +2.00. What…

A: We have to find mean and sd.

Q: A successful basketball player has a height of 6 feet 2 ​inches, or 188 cm. Based on statistics from…

A: Given the Z score of height of basket ball player is 1.95. The original height of the basket ball…

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

A:

Q: In a given school year, the ACT test mean score was 21 with a standard deviation of 4.9.  The same…

A:

Q: A sample of the number of sick days used by employees at a clinic is as indicated: 0,    0,    1,…

A: Given data 0,0,1,1,2,4

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: On a final examination in Biology, the mean was 75 and the standard deviation was 12. What is the…

A: Given problem Given that   On a final examination in Biology,  The mean was = μ = 75 The standard…

Q: Suppose you were told you scored two standard deviation below the mean on a measure where the main…

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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: A score that is 6 points below the mean correspond. to a z-score of z = -2.00. What is the…

A: The following is the formulae for z-score                       i.e., z=X-μσ Here, X is variable…

Q: On a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark was 36%…

A: Given that on a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark…

Q: If the mean is 8, then the mean absolute deviation of the scores 10 9 3 8 10 is?

A: Given mean (μ) = 8 Then Mean Absolute Deviation is given by  1n∑xi-μ

Q: For a random sample of 40 students, the average statistics midterm score is 73 points (out of a…

A: The sample size is 40, average statistics midterm score is 73 points, and standard deviation is 7.3.

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

A: Given: The mean score of a Science test is μ=42. The standard deviation is σ=5. Let X be a random…

Q: A score that is 6 points below the mean corresponds to a z-score of z = -1.50. What is the…

A: We have to find population standard deviation from given information. We need to use z score…

Q: given a population of 5000 scores with mean is 86 and the standard deviation is 10, how many scores…

A: To solve this problem, we have to assume that the population is normally distributed. Let X denotes…

Q: Assume the test scores in your class are normally distributed with a mean of 84. You scored a 96,…

A: Given: mean = 84.

Q: For a random sample of 10 men, the mean head circumference is x-bar= 57.3 cm and the sample standard…

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Q: Given a scenario where n=100 and p=0.8, find the standard deviation.

A: In this case the sample size is n = 100 and p = 0.8.

Q: For a population with  = 150, a raw score of X = 125 corresponds to z = -2.00.  What is the standard…

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

Q: The scores on the final exam in a statistics course are close to being normally distributed. The…

A: Normal distribution: It is a continuous probability distribution, that is bell-shaped with lighter…

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 nationwide math test, the mean was 58 and the standard deviation was 4. If Roberto scored 70,…

A:

Q: The mean grade in the Physics examination was 73 and the standard deviation was 8. Determine the…

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: 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: A population has a mean of μ and a standard deviation of  . a. If 3 points were added to every…

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: The variance of a sample of 169 observations equals 576. The standard deviation of the sample equals

A: Givenvariance(σ2)=576

Q: In a test, the average of the grades is 80 and the standard deviation is 5. John's grade is 70, so…

A:

Q: The average on the Math section of the SAT was 500 with a standard deviation of 100. What score must…

A:

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

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: For a random sample of 10 men, the mean head circumferences are x-bar = 57.3 cm, and the sample…

A: Given data:   The given sample size is n=10. The given mean head circumference is x=57.3 cm. The…

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

A:

Q: In a given school year, the ACT test mean score was 21 with a standard deviation of 4.9. The same…

A: Z-score :  The z score measures the number of standard deviations that the values are from the mean…

Q: The variance in a data set is 427. Find the standard deviation. Round to two decimals.

A: The random variable is X. It is given that the variance is 427. We have to find the standard…

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

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Q: What are all the values that standard deviation "s" can possibly take?

A: Standard deviation S=x1;x2n-1and ,Standard deviation is the positive squarew root of the variance…

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.