) Rachel received the following scores on the midterm and final examinations in hisintroductory psychology course. The mean and the standard deviation for each testare given below. Assume that the normal distribution provides a good model for thefrequency distribution. SectionXMsMidterm40508Final9010012 What percentage of students scored better than Rachel on the midterm?The department has decided that all marks from introductory psychology courses should be reported based on a standardized distribution with a mean of 100 and standard deviation of 15. What would be Rachel’s final examination scores based on this new distribution?

Answered: Image /qna-images/answer/62c22dc6-899d-455a-be9f-e17f30a065a4.jpg

What percentage of students scored better than Rachel on the midterm? The department has decided that all marks from introductory psychology courses should be reported based on a standardized distribution with a mean of 100 and standard deviation of 15. What would be Rachel’s final examination scores based on this new distribution?

What percentage of students scored better than Rachel on the midterm? The department has decided that all marks from introductory psychology courses should be reported based on a standardized distribution with a mean of 100 and standard deviation of 15. What would be Rachel’s final examination scores based on this new distribution?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Q: Q1/ The table below show the spot speed data studies for a highway section. Determine the arithmetic…

A: Corrected CI f x fx fx2 42.45-47.45 42 44.95 1887.9 84861.11 47.45-52.45 123 49.95 6143.85…

Q: Find the mean and standard deviation of the following sample taken from a larger data set of lengths…

A: Given data, x 12 Inches 40 Centimeters 1.5 feet 15 inches 35 centimeters 1.25 feet…

Q: Consider the following sample data. Sample A: Sample B: Sample C: 9, 15, 21 67, 73, 79 1,030; 1,036;…

A: Consider the provided sample data, Sample A: 9, 15, 21 Sample B: 67, 73, 79 Sample C: 1030,…

Q: Use the following data to answer A&B. The test scores for a sample of five randomly chosen…

Q: Babcock and Marks (2010) review survey data from 2003-2005 and obtained an average of µ = 14 hours…

A: Null hypothesis: H0: μ = 14. Alternative hypothesis: Ha: μ ≠14 Test statistic: The test statistic…

Q: A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean…

A: GivenFor Burger stopx1=5.46s1=0.89n1=22For Fry Worldx2=5.12s2=0.79n2=30α=0.05

Q: A Student Gender Hours online/week Friends 1 male 2 female 50 L30 3 female 4 female 70 2.

A: Given: The data given is as below Hours online/week Friends 4 90 2 50 2 30 5 70 5 70…

Q: Suppose a mathematics class with 30 students is given an examination and the raw scores are shown…

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

Q: Use the following information to answer the question. The distribution of the number of hours people…

A: Given: Population mean μ=8 Population standard deviation σ=0.5 Number of hours worked = 8.7

Q: Consider the following sample data Sample A: 10, 17, 24 Sample B: 68, 75, 82 Sample C: 1,035, 1,042,…

A: given that Sample A 10, 17, 24 Sample B 68, 75, 82 Sample C 1035, 1042, 1049

Q: Consider the following sample data. Sample A: 3, 4, 5 Sample B: 62, 63, 64 Sample C: 1,005;…

A: Given data is ; Sample A : 3, 4, 5 Sample B : 62, 63, 64 Sample C : 1,005; 1,006; 1,007…

Q: The following frequency distribution shows the score of sample of students in math class Class…

Q: Breathing rates for humans can be as low as 4 breaths per minute or as high as 70 or 75 for a person…

A: (a) Obtain the fraction of all students would have breathing rates in the interval from 9.7 to 14.3…

Q: Consider the following sample data. Sample A: Sample B: Sample C: 3, 4, 5 62, 63, 64 1,005; 1,006;…

A: We have given that the data of 3 samples namely A, B and C. Mean: It the sum of all the observations…

Q: o The college Physical Education department offered an Advanced First Aid course last senester. The…

A: Since this is a multiple part question; only 1st 3 parts are answered. The student with positive z…

Q: Q / The following data represents the distribution of weekly expenditures for a random sample of…

A: The mean deviation of a frequency distribution for any average is defined by where A is the mean or…

Q: 1. For each day of last year, the number of vehicles passing through a certain intersection was…

Q: Consider the following sample data. Sample A: 10, 20, 30 Sample B: 80, 90, 100 Sample C: 1,095,…

A: Givena)Sample A:10,20,30

Q: The descriptive measures in a set of data are as follows: a sample mean of 50.24, a median of 49 and…

A: Following data is given, Mean =50.24, Median = 49, Standard deviation = 13.77.

Q: Country A, the population mean height for 3-year-old boys is 38 inches. Suppose a random sample of…

Q: The price-earnings (PE) ratios of a sample of stocks have a mean value of 14.5 and a standard…

Q: Consider the following sample data. Sample A: Sample B: Sample C: 10, 17, 24 68, 75, 82 1,035;…

A: Mean (x¯) = ∑xn _____________________________ standard dev(s) = ∑(x-x¯)2n-1

Q: Q2-B) from the following values make frequency distribution and find the a. Median ? b. Mode ? 24.9…

A: Frequency distribution: The number of values lying in the particular interval or the number of times…

Q: The highway mileage (mpg) for a sample of 10 different models of a car company can be foun below. 29…

A: Given range is 25. standard deviation using range rule of thumb is ?

Q: Find the range, variance and standard deviation of the following grouped data. 1. The following…

Q: Which of the following statements about the sampling distribution of the sample mean is incorrect,…

A: It is given that the population mean is μ and the population standard deviation is σ. Then we know…

Q: Which of the following statements are true? i. It is okay to use the median to estimate the mean…

A: From the given data ,only the " THIRD " statement is true. i.e..; [ POINT ESTIMATES BASED ON A…

Q: Find the range, variance and standard deviation of the following grouped data. 1. The following…

A: Solution: The distribution of the number of hours worked each week is Hours Worked per week…

Q: At a computer manufacturing company, the actual size of computer chips is normally distributed with…

Q: he following are body mass index (BMI) scores measured in 12 patients who are free of diabetes and…

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: A study examined the effect of human disturbance on the nesting of Maya birds. The researchers…

A: The skewness of Mayas is 0.21. Since the value is positive, the distribution is positively skewed.…

Q: Consider the following sample data. Sample A: Sample B: Sample C: 13, 23, 33 71, 81, 91 1,050;…

A: Mean: Mean is defined as the ratio of sum of all observations to the total number of all…

Q: Which of the following four standard deviation values would produce the more platykurtic…

Q: Given the frequency table below of the students result in 25 point quiz. Compute its standard…

Q: The following frequency distribution analyzes the scores on a test. Find the mean, standard…

A: Given data and calculation is shown Scores(x) Number of students(f) fx fx2 10 2 20 200 15 8…

Q: Given the frequency table below of the students result in 25 point quiz. Compute its standard…

A: Given: X Frequency 6 2 9 4 12 14 15 9 18 6 21 3 24 2

Q: The parallel histograms below display the heights of men in each of two countries. Which of the…

A: Given ,

Q: Consider the following sample data. Sample A: Sample B: Sample C: 3, 7, 11 74, 78, 82 1,065; 1,069;…

A: Given , Sample A = 3 , 7 , 11 Sample B = 74 , 78 , 82 Sample C = 1065 , 1069 , 1073

Q: The highway mileage (mpg) for a sample of 10 different models of a car company can be found below.…

A: Data in order 22, 24, 26, 27, 39, 43, 43, 46, 48, 49 Mode may be defined as the maximum number of…

Q: Consider the following sample data: Sample A: 5, 8, 11 Sample B: 64, 67, 70 Sample C: 1015, 1018,…

A: Given Sample A: 5, 8, 11 Sample B: 64, 67, 70 Sample C: 1015, 1018, 1021

Q: The price-earnings (PE) ratios of a sample of stocks have a mean value of 12.75 and a standard…

Q: Some studies show that the mean normal body temperature is actually somewhat lower than the commonly…

Q: which of the following would be expected to result in a larger standard error of the mean? (a) a…

Q: 1. For each day of last year, the number of vehicles passing through a certain intersection was…

Q: Q2. Find the mean deviation, standard deviation and variance for the following frequency…

Q: Consider the following sample data. Sample A: 8,13,18 Sample B: 66,71,76 Sample C: 1,025,…

A: From the given information, the 3 samples are as follows: A B C Samples 8, 13, 18 66, 71, 76…

Q: Twenty five percent of cans contain tomato juice. Let be the number of apple-juice cans among five…

A: Given data, Twenty five percent of cans contain tomato juice. Let be the number of apple-juice cans…

Q: (b) Use the table from part (a) to find u- (the mean of the sampling distribution of the sample…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Question

) Rachel received the following scores on the midterm and final examinations in his

introductory psychology course. The mean and the standard deviation for each test

are given below. Assume that the normal distribution provides a good model for the

frequency distribution.

Section	X	M	s
Midterm	40	50	8
Final	90	100	12

What percentage of students scored better than Rachel on the midterm?

The department has decided that all marks from introductory psychology courses should be reported based on a standardized distribution with a mean of 100 and standard deviation of 15. What would be Rachel’s final examination scores based on this new distribution?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution