If the Statistics grades of 10000 students follows a normal distribution with mean 75. and the standard deviation 10 kg. What is the lowest grade for the top 20%? Select one: О а. 43.1 O b. 35.4 O c 83.4 O d. 53.21

Q: Given a sample data set with a Standard Deviation of 1.4, what is the Variance of the data set.?…

A: The given value of sample standard deviation is, s = 1.4 Using the standard deviation, the formula…

Q: Consider the following data and calculate the standard deviation. 6.24,  6.21,  6.24,  6.28

A: The mean is, μ=∑XN=6.24+6.21+6.24+6.284=24.974=6.2425 The mean is 6.2425.

Q: 3. The average age of the marketing executives in an ad agency is 26, with a standard deviation of…

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: In a symmetric distribution with HH = 48 and standard deviation o = 3 Approximately what percent of…

A:

Q: For the standard normal curve, what percentage of data is located between ¥-2 0 and ¥+20?

A: Note: Thank you for the question. Since notations are not clear to us, we have considered it as μ-2σ…

Q: Calculate the sample mean and the sample standard deviation to the nearest hundreths.

A: Given: X 0.5 1.75 2 2.25 2.25 2.5 2.75 3.25 3.75 3.75 4.25 4.25 4.25…

Q: For the Reese's pieces scenario, compute the standard deviation of sample taking if the size of the…

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Q: If the variance of a particular data set is 7.5820, the standard deviation is

A: We know that variance is the average squared distance from the mean value. And the standard…

Q: For a normal populatiln distribution ,the mean with st deviation =1.5,the sample size = 25 and mean…

A:

Q: 1.)Heights of adult males in the US are approximately normally distributed with mean 70 inches (5 ft…

A: Note: Hey, since there are multiple questions are posted, we will answer first question for you. If…

Q: The weights of 60 females in a physical education class are normally distributed with a mean of 135…

A: Obtain the Z-score for the random variable X equals 150 The Z-score for the random variable X equals…

Q: 2. Given a standard deviation of 3.7, what is the mean if1 0% of the population has a distribution…

A: We have given that,  Let x be the random variable from normal distribution with standard deviation…

Q: A Survey among Seniors revealed that the number of hours spent Studying the week before final exams…

A: Give Standard deviations=7 Mean=25 P(x>40)=?

Q: Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the values…

A: We know that; X~Normal(μ,σ2) ⇒Z=X-μσ~Normal(0,1) Let X be the random variable with a normal…

Q: Below is the graph of a normal distribution with mean = standard deviation o = 84 and 2.4

A: Given Information: A graph of a normal distribution with mean μ = 84 and standard deviation σ=2.4 To…

Q: give the sample standard deviation of this data set: 20, 25, 35, 40

A: Sample Standard deviation:   If the standard deviation is calculated for sample then it is called as…

Q: If a distribution is normal with μ = 60 and σ = 15, what is the z score of 40?

A:

Q: 2 درجات annual expenditure per 25-to 34-year-old consumer for health care is $ 1468. Students at a…

A: As the population standard deviation is known, it is the z-test. Given: x¯=1520μ=1468σ=198n=60 The…

Q: Suppose the SAT scores follow a normal distribution with mean 1100 and standard deviation 200. Use…

A: According to 68-95-99.7 rule, 68% of the data values lies within one-standard deviation from the…

Q: Suppose male heights follow a normal distribution with μ = 178.4 cm and σ = 7.6 cm. What is the 99th…

A: It is given that the male heights follow normal distribution with mean 178.4 cm and standard…

Q: For a population of leghorn chickens, the mean number of eggs laid per chicken is 7.3 with standard…

A: Given information: μlegborn=7.3σlegborn=1.7μsussex=5σsussex=0.85 Two independent ransom samples of…

Q: 24. Suppose annual salaries for sales associates at Target have a mean of $32,500 and a standard…

A: According to the provided information, Mean (μ) =$32500 Standard Deviation (σ) = $2500

Q: Suppose the mean starting salary for nurses is $65,478 nationally. The standard deviation is…

A: Solution: Given information: n= 47 Sample size  μ= 65478  Population mean σ= 10409   Population…

Q: Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55…

A:

Q: Given a sample data set with a Standard Deviation of 1.34, what is the Variance of the data set.?…

A: We have to find variance.

Q: On a normal distribution, four participants obtained the following deviation scores: –5, 0, +3, and…

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

Q: f the mean age of the managers in company is 52 years with a standard deviation of 2.5 years, what…

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Q: (a) Compute the sample standard deviation for the number of breweries east of the Mississippi River.…

A: Given: State No. of breweries Georgia 22 Illinois 52 Kentucky 13 Maine 38 Maryland 23…

Q: In a large section of statistics class for the final exam are normally distributed, with a mean of…

A: Given: μ=72σ=9x~N(72,92)

Q: given that the sample mean=105, pop standard deviation=27, n=44, a=0.01 what is the critical s-score

A: Note: In this question it has mentioned that we have to find the s – score but it seems that it is a…

Q: On a normal distribution, at what percentage must a. The mean fall? b. The median fall? c. The…

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not heavily…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not heavily…

A: Given information- Population mean, µ = 71 mph Population standard deviation, σ = 3.125 mph Let, X…

Q: Consider the normal distribution of IQs with a mean of 100 and a standard deviation of 16. What…

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Q: The heights of English men are normally distributed with a mean of 71.2 inches and a standard…

A: Empirical rule: 68% of all possible observations lie within one standard deviation from the mean.…

Q: If the Standard Error SE( y ) is 1.299 and if the sample standard deviation is 4.87, what is the…

A: It is given that S.E(mean) = 1.299 Sample SD s = 4.87

Q: Given a distribution with a mean of 80 and a standard deviation of 10, what is the probability of a…

A: Given that  Mean=80 , Standard deviation=10 Find  P(X<=65)

Q: a statistics exam has a mean  m=78 and standard deviation G=8, estimate the portion of grades…

A:

Q: At the local liquour store, a single purchase approximately follows a normal distribution with a…

A:

Q: Suppose the mean starting salary for nurses is $67,290 nationally. The standard deviation is…

A:

Q: examination. Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard…

A: Given data,μ=527σ=112P(X>437)=?

Q: If you have a sample of n=25, what is the standard error if the population standard deviation is σ =…

A: The standard error of the sampling distribution of the sample mean.

Q: In a normal distribution, if the mean is ten and the standard deviation is one, what would the…

A:

Q: For a population with a mean of mean=45 and a standard deviation of 10, what is the standard error…

A:

Q: one region, the September energy consumption levels for single-family homes are found to be normally…

A: The z-score for the area of 0.45 using standard normal table is –0.13.

Q: Given a sample data set with a Variance of 6.25, what is the Standard Deviation of the data set.?

A:

Q: Consider a sample with a mean of 30 and a standard deviation of 5. Use Chebyshev’stheorem to…

A: Empirical rule is used to estimate the percentage of data in an interval of normal distribution. The…

Q: In the p-chart of Audit Data shown below, if the estimate of the standard deviation was 0.0724, what…

A: Solution: Given information: The control limits of  p chart are  UCL = 0.4203 Central Line = P =…

Q: What proportion of a normal distribution corresponds to z scores greater than -0.82?   Question 10…

A: According to the given information, we have Z score = -0.82 (Right tailed)

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.