Use z-scores to make the following comparison. A high school student took two college entrance exams, scoring 1110 on the SAT and 27 on the ACT.  Suppose that SAT scores have a mean of 950 and a standard deviation of 130 while the ACT scores have a mean of 22 and a standard deviation of 4.  Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.

Q: On a standard measure of hearing ability, the mean is 300 and the standard deviation is 20. Give the…

A: Given data ,Mean u=300S.D σ=20

Q: Executives of a supermarket chain are interested in the amount of time that customers spend in the…

A: 1.The given claim is to test, whether the mean μ is less than 38 minutes. So here Ho: μ = 38 VS Ha :…

Q: The mean is u: = and the standard deviation is o: =

A: Given,

Q: Which of the following measurements is likely to have the least variation (i.e. which dataset would…

A: Statements are given.

Q: Find the 2-score for a raw score of 27 with a mean of 20 and a standard deviation of 5. O-06 O 14 O…

A:

Q: Assume that​ men's heights have a distribution that is symmetrical and​ unimodal, with a mean of 70…

A: We hava given that,  Let X be the men's height from Symmetrical and distribution with mean (μ) = 70…

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: Given Data: Let X represent the point distribution Mean=530 Standard deviation=80   X~ Normal(530,…

Q: Gracia, an ALS student, obtained a z-score of 1.35 in an achievement test that is normally…

A: Given : Z-score=1.35 Mean=85 Standard deviation =5

Q: A professor at a local university noted that the grades of her students were normally distributed…

A: Given  X~N(mu=76, sigma^2=10^2) Note: According to Bartleby an expert can solve only one question…

Q: Executives of a supermarket chain are interested in the amount of time that customers spend in the…

A: We are given that the mean shopping time spent by customers at the supermarkets is The sample mean…

Q: Q2: b) For a mean of 70 and a standard deviation of 8, find standardized score for a value of 80.…

A: Givenmean(μ)=70standard deviation(σ)=8x=80

Q: Use the normal distribution of IQ​ scores, which has a mean of 100 and a standard deviation of 18​,…

A: Given that, Mean = 100 Standard deviation = 18

Q: Dougal is filling out college applications that require either a SAT math score or ACT math score.…

A: Given Information: Dougal has an SAT math score of 610 and an ACT math score of 27. Mean SAT math…

Q: The following BMI scores measured in 12 patients who are free of diabetes and participated in a…

A:

Q: use the following information for the question. The average travel time to work for a person living…

A: Let X denote the distribution of travel time and it follows normal distribution with mean of μ=17…

Q: Which of the following values for the population standard deviation would cause a score located…

A: Higher the standard deviation more will be the spread of the data. And the point will be farther…

Q: After examining a child at his​ 2-year checkup, the​ boy's pediatrician said that the​ z-score for…

A: The z score is given by Z = 1.31

Q: The systolic blood pressure for a healthy person is normally distributed with a mean of 120 and a…

A: Correct Answer is  (d) 118.95

Q: A professor at a local university noted that the exam grades of her students were normally…

A: Here we need to find x such that P(X>x)=0.0793, where X~N(73,11).

Q: Which of the following values for the population standard deviation would cause a score located…

A: Given different values of standard deviation and we need to select the one which makes value of x to…

Q: The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below.…

A: 0 0.15 0 0 0 1 0.20 0.2 1 0.2 2 0.30 0.6 4 1.2 3 0.10 0.3 9 0.9 4 0.20 0.8 16 3.2 5 0.05…

Q: A previous study claims that the average time a teenager spends browsing his social media accounts…

A: Sample size(n)=100 Population mean(μ)=6 Sample mean(x)=5.5 Standard deviation(σ)=0.5

Q: . Sheldon owns a mango farm and the weight of his mangoes are normally distributed with an average…

A: here  N = 800 n = 50 μ = 200 gramσ = 15 grams

Q: A previous study claims that the average time a teenager spends browsing his social media accounts…

A:

Q: In a factory producing glasses, the weights of glasses are known to have a mean of 160 grams. It is…

A: By looking at a Z table we can conclude that Q1 and Q3 are each .6745 standard deviations from the…

Q: Use the following information to answer the question. The mean age of lead actresses from the top…

A: Given that, μ=29.6 yearsσ= 6.35 years Let X denote the distribution of the actresses ages is…

Q: Seattle, Washington, averages m=34 inches of annual precipitation. Assuming that the distribution of…

A: From the provided information, Mean (µ) = 34 inches Standard deviation (σ) = 6.5 inches Let X be a…

Q: In English class the final exam grades average 78 with a stanard deviation of 12 and in a…

A: Given data,   For English exam, μ=78σ=12Score x=84   For mathematics exam, μ=72σ=15Score x=82

Q: An upscale women's clothing boutique in Laguna Beach, on average, has daily sales of $28,176.44. The…

A:

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: The heights of women have a symmetric distribution with a mean of 66 inches and a standard deviation…

A: Given dataMean = 66 inchesStandard deviation =2.5 inchesApplying empirical formula68% of data falls…

Q: Given a distribution with a mean of 40 and a standard deviation of 8, convert the following raw…

A: Given that  Mean=μ=40 Standard deviation=σ=8 Find T scores  A) X=37 , B) X=56

Q: On a measure of artistic ability, the men for college students in new zealand is 150 and tthe…

A: Given mean = 150Standard deviation = 25The Z score is calculated using the below mentioned formula…

Q: Executives of a supermarket chain are interested in the amount of time that customers spend in the…

A: The provided information is:

Q: Assume that the distribution of a college entrance exam is normal with a mean of 500 and a standard…

A: Consider the equation

Q: Mr. Stant collected information on how much customers spend at Walmart and Target. He created the…

A: The histogram for Walmart is symmetrical and bimodal but the high frequencies are observed at…

Q: Q5 Calculate Quartile Deviation and its Coefficient from the following data

A: Here given frequency distribution of weight  Here use quartile deviation and it's coefficient…

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: Use the normal distribution of IQ​ scores, which has a mean of 130 and a standard deviation of 16​,…

A:

Q: What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the…

A: The type I error is defined is as rejecting the null hypothesis when actually it is true.  The type…

Q: A local university administers a comprehensive examination to the recipients of a B.S. degree in…

A: The sample standard deviation can be calculated as:

Q: Which of the following data would be most appropriate to report standard deviation ? scores of an…

A: Standard deviation- Standard deviation is a measure of dispersion. It is a quantity that expresses…

Q: The following percentages of chloride were found: 32.52%, 32.14%, 32.61%, and 32.75%. Find the mean,…

A: The following percentages of chloride were found: 32.52%, 32.14%, 32.61%, and 32.75%  We can rewrite…

Q: Write down the formulas for the standard deviation of p.

A: Let sample size = n Sample proportion = p̄

Q: e scores for a standardized reading test are found to be normally distributed with a mean of 300 and…

A: If a test has a mean of 300 and standard deviation of 40 with N= 490, about how many individuals…

Q: For a sample, a score that is 12 points above the mean has a z-score of z = 1.20. What is the sample…

A: We have to find sample standard deviation

Q: The three data sets have the same mean and range, but is the variation the same? Prove your answer…

A: For all the parts, it is given that, x=5+7+9+11+13+15+177=777=11

Q: Assume that the distribution of scores on a college entrance exam is normal, with a mean of 500 and…

A: As per guideline expert have to answer first 3 subparts only.

Q: .The mean annual incomes of certified welders are normally distributed with the mean of $50,000 and…

A:

Q: 1. Over the last several years, the use of cellphones has increased dramatically. An article in USA…

A: Given  Talking time   Sample size Mean Standard deviation Cell phone Men 100 372 120 Women…

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.