On the first periodic exam in Statistics, the population mean was 70 and the population standard deviation was 9. Determine the standard score of a student who got a score of 88 assuming that the scores are normally distributed.                         Write and encircle your answer (with 0 decimal places):

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: For a normally distributed population with a mean of 40 and a standard deviation of 5 find P(38 < X…

A: Given Information: Required : To find P(38 &lt; X &lt; 41) Z-score is a measure which indicates…

Q: Hugo scores an average of 28 points per basketball game, and his points per basketball game are…

A: From the provided information, Average (µ) = 28 points Score (x) = 14 points z-score = -2

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 distribution of values is normal with a mean of 123.2 and a standard deviation of 62 Find P35,…

A: Given: A distribution of values is normal with  μ=123.2 , σ=62

Q: The college president asks the statistics teacher to estimate the average age of the students at the…

A:

Q: The grades in an exam have a normal distribution with μ=75 averages and σ=8 standard deviation. The…

A: Let us denote: X= the grades Given that X follows a normal distribution with mean=75 and standard…

Q: The average starting salary of students who graduated from colleges of Business in 2009 was $48,400.…

A: Determine the statement of the hypothesis. The statement of the hypothesis is generally indicated by…

Q: In a sample of 250 student GPAs, the mean is 3.25 with a standard deviation of 0.22. Use the…

A: From the given information, there are 250 student GPAs with the sample mean 3.25 and the standard…

Q: Renee scores an average of 153 points in a game of bowling and her points in a game of bowling are…

A:

Q: Scores on a certain standarized test have a mean of 500, and a standard deviation of 50. How common…

A: Given, Mean = μ =500SD = σ = 50

Q: The Mathematics portion of the Graduate Record Examination is graded in such a way that the scores…

A: It is given that the scores are distributed normally with mean 500 and standard deviation 100.

Q: Assume that adults have IQ scores that are normally distributed with μ=38 and a standard deviation…

A:

Q: SAT scores are normally distributed with a mean of 1500 and a standard deviation of 300. ACT scores…

A: Z-Score:             It is a dimensionless quantity that is used to indicate the signed, fractional,…

Q: On a recent quiz, the class mean was 76 with a standard deviation of 4.5. Calculate the z-score (to…

A: From the provided information, Mean (µ) = 76 Standard deviation (σ) =4.5 Let X be a random variable…

Q: Assume that women have heights that are normally distributed with a mean of 63.6 inches and a…

A:

Q: A distribution of values is normal with a mean of 235 and a standard deviation of 14.4. Find P63,…

A:

Q: A distribution of values is normal with a mean of 141.6 and a standard deviation of 44. Find P65,…

A: Given Information: Mean μ=141.6 Standard deviation σ=44 To find Percentile P65: Using a standard…

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15.  a. In a sample of…

A: X follows a Normal distribution with mean = 100 and S.D = 15 Then z=(x-mean)/SD = (x-100)/15…

Q: The temperature is recorded at 60 airports in a region. The average temperature is 67 degrees…

A:

Q: the average grade is 84 with a standard deviation of 4. What is each grade for -1 2 0 1.5 -1.25

A: Given Mean μ=84Standard deviation σ=4 The formula for Z score isZ=X-μσX=Z×σ+μ

Q: On a recent quiz, the class mean was 71 with a standard deviation of 3.2. Calculate the z-score (to…

A: Given,mean(μ)=71standard deviation(σ)=3.2a person received score (X)=72

Q: The average score of local students on a college entrance exam is 110 with standard deviation of 15.…

A: Empirical rule: According to empirical rule, approximately 68% of data falls within one standard…

Q: On a recent quiz, the class mean was 75 with a standard deviation of 2.1. Calculate the z-score (to…

A: Solution

Q: Find P33,

A: Let , X→N(μ=40.5 , σ=53.3) Our aim is to find the P33

Q: The average temperature in a town in January is 22.1 oF and the standard deviation is 7.5 pF. What…

A: we have to find average temperature  in Celsius  from given data. given data : mean = 22.1.of…

Q: The heights of the peach trees in an orchard are normally distributed with a mean of 12.5 feet and a…

A:

Q: An e-reader has a one year warranty. The mean lifespan of the e-reader is 2.5 years, with a standard…

A: From the given information, the mean lifespan of the e-reader is 2.5 years and the standard…

Q: Find the 60th percentile for the weight of 10-year-old girls given that the weight is normally…

A:

Q: The scores on a psychology exam were normally distributed with a mean 56 of  and a standard…

A:

Q: On a recent quiz, the class mean was 74 with a standard deviation of 3.9. Calculate the z-score (to…

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: The monthly mean starting salary for clinical officers in rural health facilities is 500,000 UGX…

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

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Let X denote the combined SAT scores for the students at a local high school and it follows normal…

Q: The amount of Derek's monthly phone bill is normally distributed with a mean of $74 and a standard…

A: By Empirical Rule: 68% of the values lie between 1 standard deviation of the mean, thus:…

Q: f the class average is 84

A: Here it is given that - Mean (μ) = 84 Standard Deviation (σ) = 5 Let, X be a random variable which…

Q: Scores on a test are normally distributed with a mean of 64 and a standard deviation of 10.8. Find…

A:

Q: 2. Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation…

A: Let X denote the human body temperatures. Given that X ~ Normal(mean = 98.20, SD = 0.62) Then Z = (X…

Q: In order to determine the average weight of carry-on luggage by passengers in airplanes, a sample of…

A: 1.   From the given information, the sample size is 250.  The population standard deviation is 2.5.…

Q: what percent of the height is: a. greater than 135 cm? b. less than 128 cm? c. between 115 and 130…

A: Let X be height of the students in Grade 1 section Newton Given, Heights~Normal (μ,σ2) μ=125σ=3.5

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15.    In a sample of 500…

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

Q: Assume that the heights of women are normally distributed with a mean of 62.4 inches and a standard…

A: It is given that, heights of women are normally distributed with a mean of 62.4 inches and a…

Q: On an exam with u = 52, you have a score of X = 56. Which value for the standard deviation would…

A: We have given that µ = 52 x = 56 z-score formula is given as  z =( x - μ )/σ

Q: Use the normal distribution of fish lengths for which the mean is 8 inches and the standard…

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 mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% form…

A:

Q: The average register transaction at a local coffee house is 6.17 with a standard deviation of 3.25.…

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

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

A:

Q: On a recent quiz, the class mean was 74 with a standard deviation of 4.6. Calculate the z-score (to…

A: In question, We have given the mean, standard deviation and value of received scores. Then using…

Q: On a recent quiz, the class mean was 71 with a standard deviation of 2.5. Calculate the z-score (to…

A: Given,mean(μ)=71standard deviation(σ)=2.5raw score(X)=70