A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45.  If GPA is normally distributed   How do I go about finding z score and area for between 2.50 and 3.50  and between 2.0 and 2.5

Q: A distribution of values is normal with a mean of 205.3 and a standard deviation of 65. Find P93,…

A: It is given that the values follow normal distribution with mean 205.3 and standard deviation 65.

Q: The scores on a standardized test are normally distributed with a mean of 115 and standa deviation…

A: Z = 2.2 , μ  = 115 , σ= 15

Q: A frontliner commutes daily from his home to work. The average time for a one-way trip is 35…

A: Let , X be the time Let , X→N(μ=35 , σ=5) Since , his work starts ate 9:00 AM and he leaves his…

Q: The blood glucose levels of Wistar rats measured 2 hours after eating (postprandial Blood…

A: Given: μ = ​5.65 mmol/L σ = 1.63 mmol/L

Q: Imagine that scores for national aptitude exam have a normal distribution with a mean of 700 a…

A: Given: Mean = 700 Standard deviation = 30 Let X ~ N(700, 302)

Q: A variable is normally distributed with a hypothesized population mean of 53 and a standard…

A:

Q: Based on the records of the Admissions Office of University U, the mean score of all Grade 12…

A:

Q: On a recent quiz, the class mean was 75 with a standard deviation of 2.6. Calculate the z-score (to…

A:

Q: A baseball player has a batting average of 0.325 each week of the season, with a standard deviation…

A: The z-score of a random variable X is defined as follows: z = (X – µ)/σ. Here, µ and σ are the mean…

Q: A distribution has a standard deviation of σ= 20.  A score 10 points above the mean would have a…

A: Solution Where,

Q: The average score on one of your MMW exams was 70 with a standard deviation of 15. Assuming the…

A:

Q: Suppose that the length of a fish specimen is normally distributed with a mean of 10 inches and a…

A: Let, random variable X be the length of fish specimen.   The random variable X follows Normally…

Q: The distribution of raw scores on a chemistry final is approximately normal with a mean of about 50…

A: The random variable X is defined as the student will have a raw score which follows normal…

Q: In a certain​ study, women's heights are found to be approximately normally distributed with a mean…

A: Given that, In a certain​ study, women's heights are found to be approximately normally distributed…

Q: he test scores of an Engineering Mechanics class with 800 students are distributed normally with a…

A: Let X denote the test scores and it follows normal distribution with mean of μ=75 and a standard…

Q: Based on the records of the Admissions Office of University X, the mean score of all Grade 11…

A:

Q: Scores on a test have a mean of 8181 and a standard deviation of 1313. Michael has a score of 9393.…

A:

Q: Body temperatures of adults are normally distributed with a mean of 98.60℉ and a standard deviation…

A: Given information Mean (µ) = 98.6 F Standard deviation (σ) = 0.73 F   Probability of a healthy adult…

Q: A normal distribution has a mean of 113 and a standard deviation of 6. Find the z-score for a data…

A: A normal distribution has a mean of 113 and a standard deviation of 6.

Q: On a recent calculus exam, a class mean was 75 with a standard deviation of 3.4. Calculate the…

A: From the provided information, Mean (µ) = 75 Standard deviation (σ) = 3.4 Let X be a random variable…

Q: The mean batting average in major league baseball is about 0.250. Supposing that batting averages…

A: Let X denote the batting averages in major league baseball. Given that X follows N(mean = 0.250, SD…

Q: The diameter of a pipe is normally distributed with a mean of 0.4 inch and a standard deviation of…

A: Given data,μ=0.4σ=0.02P(X>0.418)=?

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A: μ=69,  σ=2.8  &  x=79.5

Q: Based on the records of the Admissions Office of University X, the mean score of all Grade 11…

A: Given that  Mean score=120 Standard deviation =20 Z score=-0.25 We have to find the raw score..

Q: At one college, GPA's are normally distributed with a mean of 3 and a standard deviation of 0.6.…

A: Let GPA's at college = X X follows normal distribution with mean 3 and standard deviation 0.6

Q: The average score on your Math Exams was 75 with a standard deviation of 20. Assuming the scores are…

A: Average score, μ=75. Standard deviation of scores, σ=20.   Let X be the random variable that records…

Q: At one college GPAs are normally distributed with a mean of 2.55 and a standard deviation of 0.49.…

A: Empirical rule says that in a normal data set, virtually every piece of data will fall within three…

Q: The mean weight of apples is 10 kg and the standard deviation is 2 normally distributed, determine…

A: mean = 10 standard deviation = 2.6

Q: ) Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard…

A: Let "X" be the IQ score of adults. Find z-value (z): Refer Standard normal table/Z-table, Lookup…

Q: A normal distribution has a mean of 144 and a standard deviation of 8. Find the z-score for a data…

A: Given that, μ=144, σ=8 We know that, z-score is given as, Z=X-μσ

Q: A normal distribution has a mean of 80 and a standard deviation of 6. Find the z-score for a data…

A:

Q: Records of a university (collected over many years) show that on the average 74 percent of all…

A:

Q: A set of data items is normally distributed with a mean of 30 and a standard deviation of 6. Convert…

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Q: A normal distribution has a mean of 134 and a standard deviation of 3. Find the z-score for a data…

A: According to the given information in this question We need to find the z score value

Q: The average score on one of your MMW exams was 70 with a standard deviation of 15. Assuming the…

A: Given: μ = 70 σ = 15 Explanation: Z-Scores:   Z-Score is the measure of the data point is how many…

Q: The average score on one of your MMW exams was 70 with a standard deviation of 15. Assuming the…

A:

Q: The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of…

A: (A) Obtain the probability that a line width is greater than 0.72 micrometer. The probability that a…

Q: A normal distribution has a mean of 117 and a standard deviation of 4. Find the z-score for a data…

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: On a recent calculus exam, a class mean was 69 with a standard deviation of 2.4. Calculate the…

A:

Q: The distribution of raw scores on a chemistry final is approximately normal with a mean of about 60…

A: A z-score represents the position of a data point in terms of its distance from the mean when…

Q: A certain type of pumpkin has a mean weight of 6.4 pounds with a standard deviation of 0.5. What is…

A: Proceed as shown below...

Q: Assume that the mean height of men in the United States is 70 inches, with a standard deviation of 3…

A:

Q: A population of normally distributed data has a mean of 200 and a stabdard deviation of 20. Assuming…

A: The required calculation can be defined by the  formula The standard normal variate  Z=x-μσ Then the…

Q: A normal distribution has a mean of 147 and a standard deviation of 4. Find the z-score for a data…

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: A normal distribution has a mean of 136 and a standard deviation of 10. Find the z-score for a data…

A: Given information- Population mean, µ = 136 Population standard deviation, σ = 10 We have to find…

Q: The IQ of 1,000 incoming students at University of Bayabas is normally distributed with a mean of…

A: Given information: The IQ of 1,000 incoming students at University of Bayabas is normally…

Q: On a recent quiz, the class mean was 74 with a standard deviation of 2.8. Calculate the z-score (to…

A:

Q: at one college, GPAs are normally distributed with a mean of 3.1 and a standard deviation of 0.4.…

A: Let "X" be the GPA of college students. According to the empirical rule [Also known as 68-95-99.7…

Q: On an exam with a standard deviation of σ = 6, Tom’s score of X = 54 corresponds to a z-score of z =…

A:

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.