Test scores for a Statistics class have a mean of 81 with a standard deviation of 4. Test scores for a calculus class had a mean of 75 with a standard deviation of 3.5. Suppose a student gets an 87 on the statistics test and an 86 on the calculus test. Calculate the z-scores for each test. On which test did the student perform better relative to the other students in the class.

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: College Professors have incomes with a standard deviation that is more than $21,000. A recent study…

A:

Q: a) If a man is 75 inches (6 feet 3 inches) tall, what is his z-score (to two decimal places)?…

A: Hi, the question has multiple sub-parts. As per the guidelines I am obliged to answer first three…

Q: The prizes awarded to winning contestants on a long-running television show have a mean of $9,400…

A: We have to find mean and sd.

Q: A standard I.Q. test produces normally distributec 13 with a mean of 104 and a standard deviation of…

A:

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 242 cm.…

A: Thus, the standard z-score for the tallest man is 10.51.

Q: If the scores on a test have a mean of 26 and a standard deviation of 4, what is the z score for a…

A: We want to Z-score

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A:

Q: a. A student whose grade is 83 would be at the 19th percentile. b. A student whose grade is 90 would…

A: According to our guidelines, we can answer only three subparts, so please repost the rest parts.

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

A:

Q: The length of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

A: Assume a random variable X, that defines the length of pregnancies.

Q: he mean life of a battery is 50 hours with a standard deviation of 7 hours. The manufacturer…

A: Given data,Mean μ=50standard deviation σ=7P(X<40)=?

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: A set of scores has a mean of 5.8 and a standard deviation of 2.3. Calculate the z scores for the…

A: Given Data: Meanμ=5.8 Standard deviationσ=2.3   To Find: z-score for a) 2.1 b) 5.7 c) 7.3 d) 12.4

Q: For Jimena to be accepted into her favorite college, she will have to earn an entrance exam score at…

A: The exam scores are normally distributed with the mean, μ=790, and standard deviation, σ=50. Now, it…

Q: 1. A student scored 65 on a calculus test that had a mean of 50 and a standard deviation of 10. She…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Annabelle earned a score of 410 on Exam A that had a mean of 450 and a standard deviation of 40. She…

A: Here we need to find the score for exam B such that it is equivalent to the score of exam A. Inorder…

Q: Given the mean is 100, the standard deviation is 20, and 12 people took the test, which person…

A: We have given that Sample size=n=12 Mean=mu=100  Standard deviation=sigma=20

Q: The standard deviation of the wages of 400 textile workers is $ 12.8. Another sample of 600 textile…

A: Given that  Sample size(n1) =400 Standard deviation =12.8 Sample size (n2)=600 Standard deviation…

Q: In a certain town (A), a family’s mean weekly grocery spending is $450 with a standard deviation of…

A: The mean weekly grocery spending in town A = $450the standard deviation = $35 The z score for weekly…

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: What​ women's height corresponds to a​ z-score of −1.80​? b. Professional basketball player Evelyn…

A: It is given that For men, mean = 64, and SD = 2.5 For women, mean = 73, and SD = 2

Q: In a certain town (A), a family’s mean weekly grocery spending is $350 with a standard deviation of…

A: Obtain the Z-score for the weekly groceries budget of $365 spent by town A.Consider the money spent…

Q: The number of incoming students at two campuses of a midwestern university have historically been…

A: Given that the main campus incoming class has a mean of 3,916 and a standard deviation of 375.…

Q: A set of test scores has a mean of 27 and a standard deviation of 4.2. Calculate the raw scores for…

A: We have given that, A set of test scores has a mean of 27 and a standard deviation of 4.2   The…

Q: The scores on a driver's test are normally distributed with a mean of 100. Find the score that is 3…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 28 X~N (100, 28)

Q: A teacher finds that the test scores of a group of 40 students have a mean of 72 and standard…

A: (a) A teacher finds that the test scores of a group of 40 students have a mean of 72 and standard…

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: 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: In a population with a μ = 8, a score of X = 3 corresponds to z = –2.5. What is the standard…

A: Mean = 8 Raw score , X = 3 Z score = - 2.50

Q: Assume a test in biology is normally distributed with a mean of 80 and a standard deviation of 5.…

A:

Q: Addison earned a score of 390 on Exam A that had a mean of 450 and a standard deviation of 25. She…

A:

Q: The standard deviation of the wages of 400 textile workers is $. 12.8. Another sample of 500 textile…

A:

Q: The results of a nationwide aptitude test in mathematics are normally distributed with 80 as the…

A: Solution

Q: Elijah earned a score of 228 on Exam A that had a mean of 200 and a standard deviation of 40. He is…

A: We have to find score required in exam b.

Q: According to a study, the salaries of registered nurse are normally distributed with a mean of 56310…

A: Given,mean(μ)=56310standard deviation(σ)=5038

Q: Suppose the weekly rent of international students in Sydney is normally distributed with a mean of…

A: Assume,  X be the random variable which represents the amount of weekly rent in dollars. μ be the…

Q: Assume that​ women's heights have a distribution that is symmetric and​ unimodal, with a mean of 64…

A: As per the multiple questions rule, answering first question. Please repost the second question…

Q: brazil spends 6.24% of its GDP on education, calculate the z-score for brazil. miu = 4.8% and the…

A: It is given that Mean = 4.8 SD = 1.66 And value X = 6.24

Q: Sam and Peter are classmates. In an examination, Sam gets 75 marks and Peter gets 89 marks. It is…

A: Given that  Marks got by Sam = 75 marks Marks got by Peter = 89 marks Standard normal score of Sam's…

Q: A health study reported​ that, in one​ country, systolic blood pressure readings have a mean of 122…

A:

Q: A student scored 76 on a general science test where the class mean and standard deviation were 82…

A: For Science x¯=82s=8x=76 z=x-x¯s=76-828=-0.75

Q: The weights of an adult female population of killer whales are approximately normally distributed…

A: Let, X1: The weights of an adult female population of killer whales & X1~Normal( 18000, 4000 )…

Q: Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He…

A:

Q: Two hundred eighty (280) incoming freshmen at a certain college were given IQ tests. Assuming that…

A: Assuming that their IQs are normally distributed with a mean of 100 and a standard deviation of 15,…

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: The average score on a communications exam was found to be 82 with a standard deviation of 5 points.…

A: From the provided information, Mean (µ) = 82 Standard deviation (σ) = 5 X~N (82, 5) Here X be 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…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.